# Business Statistics Homework help

Study Business Statistics Homework question with answer. You can take help for all type academic question math, stats, economics and other subjects. Hundreds tutor is waiting for your academic question. View Business Statistics MCQ with Answer on AiDLo.

## Post your Business Statistics Question for solution

Fill out my online form.

### You are given the following data of the number of male and female students in a University

Question: You are given the following data of the number of male and female students in a University FacultyMaleFemaleTotalArts8605401400Science240160400Business Studies100100200Total12008002000 Work out how many male and female students …

### The effective management of cash flows by business organization is necessary for the proper budgeting and control of their present and future resources. In an analysis of the cash position of a departmental store, an accounting firm decides to select a simple random sample of n=15 monthly retail accounts receivable from among the N=1000 current monthly retail accounts of the department store in order to estimate the total amount due to all outstanding accounts receivable.

Question: The effective management of cash flows by business organization is necessary for the proper budgeting and control of their present and future resources. In an …

### Draw a random sample (without replacement) of 20 students from a class of 400 students.

Question: Draw a random sample (without replacement) of 20 students from a class of 400 students. Solution: At the outset, identify the 400 students with numbers from 1 …

### A machine is designed to produce parts having an average diameter of 2cm, and a standard deviation of 0.3 cm. If the distribution of the diameters of manufactured product is normal.

Question: A machine is designed to produce parts having an average diameter of 2cm, and a standard deviation of 0.3 cm. If the distribution of the …

### Suppose weekly income of worker in a locality is normally distributed with mean Rs. 500 and standard deviation Rs. 100. What is probability of falling the workers within one, two and three standard deviations from their mean income?

Question: Suppose weekly income of worker in a locality is normally distributed with mean Rs. 500 and standard deviation Rs. 100. What is probability of falling …

### Letters were received in an office on each 100 days. Assuming the following data to form a random sample from a poisson distribution fit the distribution and calculate the exected frequecies.

Question: Letters were received in an office on each 100 days. Assuming the following data to form a random sample from a poisson distribution fit the …

### Defects in yarn manufactured by a local textile mill can be approximated by a poisson distribution with mean of 1.2 defects for every 6 meters of length. If the length of 6 meters are to be inspected, find the probability of less than 2 defects.

Question: Defects in yarn manufactured by a local textile mill can be approximated by a poisson distribution with mean of 1.2 defects for every 6 meters …

### The probability that a person will positively respond to an advertisement for a product to be 0.1. What is probability that if the advertisement is observed by 20 persons (i) three will respond., (ii) two or more respond (iii) no body will respond.

Question: The probability that a person will positively respond to an advertisement for a product to be 0.1. What is probability that if the advertisement is …

### Four coins are tossed 208 times. Number of heads observed at each throw is recorded and the results are as follows :

Question: Four coins are tossed 208 times. Number of heads observed at each throw is recorded and the results are as follows : Number of heads01234Frequency548112358 Fit a …

### Suppose that 20% of the items produced by a production are defective, and a sample of 25 items is selected from the produced items, at random. What is expected number of defective items in the selected 25 items ? What is the standard deviation of defective items in 25 selected items.

Question: Suppose that 20% of the items produced by a production are defective, and a sample of 25 items is selected from the produced items, at …

### Suppose it is known that 10% of the students in a class wear glasses. If 8 students are selected at random what is probability that

Question: Suppose it is known that 10% of the students in a class wear glasses. If 8 students are selected at random what is probability …

### If a man has the choice of traveling between Hisar and Delhi by 8 trains, in how many possible ways he can complete the return journey, using a different train in each direction?

Question: If a man has the choice of traveling between Hisar and Delhi by 8 trains, in how many possible ways he can complete the …

### A can hit a target 3 times in 5 shots, B 2 item in 5 shots, C 3 times in 4 shots They fire a volley. What is the probability that 2 shots hit?

Question: A can hit a target 3 times in 5 shots, B 2 item in 5 shots, C 3 times in 4 shots They fire …

### In a factory, machines M1, M2 and M3 manufacture respectively, 30, 30 and 40 percent of the total output. Of their output 1, 3, and 2 percent are defective items. An item is drawn from day’s output and is found defective. What is the probability that it was manufactured by M1 by M2, by M3?

Question: In a factory, machines M1, M2 and M3 manufacture respectively, 30, 30 and 40 percent of the total output. Of their output 1, 3, …

### Urn A contains 6 green and 4 red marbles, and urn B contains 2 green and 7 red marbles. A marble is to be selected at random from A and placed in B. One marble is then selected from B. Given that the marble selected from B is green, what is the probability that the marble selected from A will also be green?

Question: Urn A contains 6 green and 4 red marbles, and urn B contains 2 green and 7 red marbles. A marble is to be …

### Urn A1 contains 8 black and 2 white marbles. Urn A3 contains 3 black and 7 white marbles, and urn A3 contains 5 white and 5 black marbles. A fair die is to be cast. If the die turns up 1, 2 or 3 then a marble will be selected from A1. If the die turns up 4 or 5 a marble will be selected from A2. Finally, a marble will be selected from A3. If the die turns up 6. Given that the marble selected is black, what is the probability that the marble was from urn A2?

Question: Urn A1 contains 8 black and 2 white marbles. Urn A3 contains 3 black and 7 white marbles, and urn A3 contains 5 white …

### A box contains four fair dices and one crooked die with a loaded weight which makes the six-face appear on two-thirds tosses. You are asked to select one, die at random and toss it. If the crooked die is indistinguishable from the fair die and the result of your toss is a six-face; what is the probability that you tossed the crooked die?

Question: A box contains four fair dices and one crooked die with a loaded weight which makes the six-face appear on two-thirds tosses. You are …

### Box 1 contains three defective and seven non-defective items, and Box 2 contains one defective and nine non-defective items. We select a box at random and then draw one item from the box.

Question: Box 1 contains three defective and seven non-defective items, and Box 2 contains one defective and nine non-defective items. We select a box at …

### Five cards are to be drawn in succession and without replacement from an ordinary deck of playing cards.

Question: Five cards are to be drawn in succession and without replacement from an ordinary deck of playing cards. (a) What is the probability that there …

### A Helicopter is equipped with three engines that operate independently. The probability of an engine failure is 0.01. What is the probability of successful fight if only one engine is needed for the successful operation of the aircraft?

Question: A Helicopter is equipped with three engines that operate independently. The probability of an engine failure is 0.01. What is the probability of successful …

### You have noticed that your officer is happy on 60 percent of your calls, so you assign a probability of his being happy on your visit as 0.6 or 6/ 10. You have noticed also that if he is happy, he accedes to your requests with a probability of 0.4 whereas if he is not happy, he accedes to the requests with a probability of 0.1. You call one day and he accedes to your request. What is the probability of his being happy?

Question: You have noticed that your officer is happy on 60 percent of your calls, so you assign a probability of his being happy on …

### A job applicant assigns probabilities as follows:

Question: A job applicant assigns probabilities as follows:The probability, p(A), of being offered a job at a company. A is 0.6; the probability, p(B); of …

### In a sample of 100 radios it was found that

Question: In a sample of 100 radios it was found that No. of defects 0 1 2No. of Radios10 85 5 What is the probability that a …

### The manufactures of ‘Bajaj’ scooter give choice to their customers to have either a double seated scooter or a single seated scooter. On analysis of the booked orders for those scooters, they find that 75% of their customers are men and 25% women. 80% of the men customers prefer double seated scooters and rest one seated. 90% of their women customers prefer one seated scooters and rest two seated scooters. In what proportion, the manufacturers should manufacture these two scooters?

Question: The manufactures of ‘Bajaj’ scooter give choice to their customers to have either a double seated scooter or a single seated scooter. On analysis …

### The following table gives a distribution of wages: Weekly wages: 30-35 35-40 40-45 45-50 50-55 55-60 65-65 65-70

Question: The following table gives a distribution of wages:Weekly wages: 30-35 35-40 40-45 45-50 50-55 55-60 65-65 65-70No. of workers: 9 108 488 230 112 …

### There are 50 balls, each ball having two colours, one black or white and the other red, orange or green as shown in the following table

Question: There are 50 balls, each ball having two colours, one black or white and the other red, orange or green as shown in the …

### Find the probability of drawing a face card in a single random draw from a well-shuffled pack of ordinary playing cards.

Question: Find the probability of drawing a face card in a single random draw from a well-shuffled pack of ordinary playing cards. Solution: There are 52 mutually …

### Find the probability of drawing a black card in a single random draw from a well-shuffled pack of ordinary playing cards.

Question: Find the probability of drawing a black card in a single random draw from a well-shuffled pack of ordinary playing cards. Solution:Total number of outcomes …

### The ten digits 0 to 9 are stamped on 12 discs, there being one digit on a disc and the discs are thoroughly mixed in a box. If a disc is drawn at random, find the probability that the disc has an odd digit on it.

Question: The ten digits 0 to 9 are stamped on 12 discs, there being one digit on a disc and the discs are thoroughly mixed …

### What is the probability of a king in a pinochle deck. ( A pinochle deck consists of 2 aces. 2 kinds, 2 queens, 2 jacks, 2 tens and 2 nines of each suit. There are no cards of lower value).

Question: What is the probability of a king in a pinochle deck. ( A pinochle deck consists of 2 aces. 2 kinds, 2 queens, 2 …

### What is the probability that a vowel selected at random in any English book is an ‘I’

Question: What is the probability that a vowel selected at random in any English book is an ‘I’ Solution:Total number of equally likely events = 5Number …

### If two dice are thrown – (i) What is the probability of throwing two sixes ? (ii) What is the probability of throwing a total of 9? (iii) What is the probability of not throwing a total of 9?

Question: If two dice are thrown – (i) What is the probability of throwing two sixes ? (ii) What is the probability of throwing a …

### An urn contains two blue balls and three while balls. Find the probability of a blind man obtaining one blue ball in a single draw.

Question: An urn contains two blue balls and three while balls. Find the probability of a blind man obtaining one blue ball in a single …

### What is the chance of drawing a king in a draw from a pack of 52 cards

Question: What is the chance of drawing a king in a draw from a pack of 52 cards Solution: Total number of cases that can happen = …

### The sales of a company in lakhs of rupees for the years 1988 to 1994 are given below

Question: The sales of a company in lakhs of rupees for the years 1988 to 1994 are given below Years: 1988 1989 1990 1991 1992 1993 …

### Fit an equation of the form Y = a+bX + cX 2 to the data given below:

Question: Fit an equation of the form Y = a+bX + cX2 to the data given below: Years 1991 1992 1993 1994 1995Consumption of wheat (in …

### Fit a trend line to the following data by the least squares method

Question: Fit a trend line to the following data by the least squares method Year: 1991 1993 1995 1997 1999Production(in ’000 tons): 36 42 46 54 …

### Estimate the trend values using the data given below by taking a three-yearly moving average

Question: Estimate the trend values using the data given below by taking a three-yearly moving average. YearValue1987319884198981990619917199211199309199410199514 Solution: If the moving average is an even period moving average, …

### Using the statement of below illustration estimate the value for 1996 by applying method of semi averages

Question: Using the statement of below illustration estimate the value for 1996 by applying method of semi averages. Solution: Here n = 9, and hence the two …

### Compute the index of real wages from the following data using 1983 as base year.

Question: Compute the index of real wages from the following data using 1983 as base year. Year: 1980 1981 1982 1983 1984 1985Average Monthly Wages (Rs.): …

### The following table gives the monthly average salary of a teacher and general price indices for a period of six years.

Question: The following table gives the monthly average salary of a teacher and general price indices for a period of six years. Year: 1980 1981 1982 …

### The following table gives the money wages and cost of living index number based on 1979

Question: The following table gives the money wages and cost of living index number based on 1979. Year: 1979 1980 1981 1982 1983 1984 1985Forward Splice …

### We have the following three index series

Question: We have the following three index series Obtain a continuous series with the base 1984 by splicing the three series. Solution: Splicing Three Series

### From the following fixed base number index (F.B.I.) prepare chain base indes (C.B.I.)

Question: Splice the following two index series, series A forward and the series B backwards Year: 1983 1984 1985 1986 1987 1988Series A : 110 130 …

### Reconstruct the following index series using 1980 as base

Question: Reconstruct the following index series using 1980 as base Year: 1976 1977 1978 1979 1980 1981 1982Index No.: 110 130 150 175 180 200 220 Solution: Base …

### Assuming 1979 as the base prepare new index numbers from the indices given below

Question: Assuming 1979 as the base prepare new index numbers from the indices given below Year: 1976 1977 1978 1979 1980Indices: 100 110 125 250 300 Solution: Base …

### From the following fixed base number index (F.B.I.) prepare chain base indes (C.B.I.)

Question: From the following fixed base number index (F.B.I.) prepare chain base indes (C.B.I.) Year: 1980 1981 1982 1983 1984 1985(C.B.I.): 220 250 300 280 350 …

### From the chain base index given below, perpare fixed base index numbers.

Question: From the chain base index given below, perpare fixed base index numbers. Year: 1981 1982 1983 1984 1985Index: 110 160 140 200 150 Solution: Conversion from chain …

### Compute chain Index numbers with 1986 prices as base from the following table giving the average wholesale price of the commodities A,B,C for years 1987 to 1990

Question: Compute chain Index numbers with 1986 prices as base from the following table giving the average wholesale price of the commodities A,B,C for years …

### Use the following chain base index numbers (C.B.I.) to obtain the fixed base index numbers

Question: Use the following chain base index numbers (C.B.I.) to obtain the fixed base index numbers Year: 1978 1979 1980 1981 1982 1983Chain Base Index: 105 …

### From the following data of wholesale prices of a certain ommodity, construct (i) Fixed Base Index (1979 = 100) and (ii) Chain index numbers.

Question: From the following data of wholesale prices of a certain ommodity, construct (i) Fixed Base Index (1979 = 100) and (ii) Chain index numbers. Year: …

### From the following prove that Fisher’s ideal index satisfies both the time reversal and the factor reversal test

Question: From the following prove that Fisher’s ideal index satisfies both the time reversal and the factor reversal test Solution: Computation of Fisher’s Ideal Index Number Thus, …

### In this example, verify that Fisher’s index also satisfies the factor reversal test.

Question: In this example, verify that Fisher’s index also satisfies the factor reversal test. Solution: Thus, Fisher’s index also satisfies the factor reversal test.

### The following table gives the prices and quantities of 5 commodities in the base and current year. Use it to verify whether Fisher’s ideal index satisfies the time reversal test.

Question: The following table gives the prices and quantities of 5 commodities in the base and current year. Use it to verify whether Fisher’s ideal …

### Calculate Laspeyre’s and Paasche’s price indices for the year 1980 from the following data. Prove that both the formulae do not satisfy the Time Reversal Test.

Question: Calculate Laspeyre’s and Paasche’s price indices for the year 1980 from the following data. Prove that both the formulae do not satisfy the Time …

### Use the following data to find Fisher’s price and quantity indices

Question: Use the following data to find Fisher’s price and quantity indices Solution: Computation of Fisher’s price and quantities indices

### Compute (i) Laspeyres’ (ii) Paasche’s and (iii) Fisher’s quantity index numbers from the following data

Question: Compute (i) Laspeyres’ (ii) Paasche’s and (iii) Fisher’s quantity index numbers from the following data Solution: Computation of Price Index Numbers

### From the information given below construct index number of 1990 by the method of weighted average of relavites using (i) base year value as weights (ii) given year values weights

Question: From the information given below construct index number of 1990 by the method of weighted average of relavites using (i) base year value as …

### An enquiry into the family budget of middle class family gave the following information

Question: An enquiry into the family budget of middle class family gave the following information Compute the price index for 1986 by using (1) weighted arithmetic …

### Construct an index number for the following data using weighted average of price relative method

Question: Construct an index number for the following data using weighted average of price relative method Solution:Computing weighted average of price relative index

### From the following data calculate price index numbers for the year 1980 with 1970 as the base year by using (i) Laspeyre’s method (ii) Paashe’s method (iii) Marshall Edgeworth method (iv) Fisher’s method.

Question: From the following data calculate price index numbers for the year 1980 with 1970 as the base year by using (i) Laspeyre’s method (ii) …

### Construct price index numbers for one year 1990 (base year – 1985) from the following data by (i) Laspeyres’ Method (ii) Paashe’s method (iii) Marshall-Edgeworth’s method (iv) Fisher’s method.

Question: Construct price index numbers for one year 1990 (base year – 1985) from the following data by (i) Laspeyres’ Method (ii) Paashe’s method (iii) …

### Construct an index number for 1990 (base year = 1980) from the following data using weighted aggregative index number

Question: Construct an index number for 1990 (base year = 1980) from the following data using weighted aggregative index number Solution: Construction of Index

### Taking of I year as base, construct the index numbers for II and III years from the following data. Use the simple average of relatives method.

Question: Taking of I year as base, construct the index numbers for II and III years from the following data. Use the simple average of …

### Using arithmetic mean, median and geometric mean, construct index numbers by the simple average of relative method from the following data for 1990 and 1991 with 1989 as the base year.

Question: Using arithmetic mean, median and geometric mean, construct index numbers by the simple average of relative method from the following data for 1990 and …

### Use the following information to construct index number for 1990 taking the price of 1985 as base. Use (i) simple aggregate method and (i) simple average of relative method in the construction

Question: Use the following information to construct index number for 1990 taking the price of 1985 as base. Use (i) simple aggregate method and (i) …

### Construct index number for 1990 taking 1988 as the base year from the following data by using average for price method.

Question: Construct index number for 1990 taking 1988 as the base year from the following data by using average for price method. Commodities A B C …

### Prices of and article for six years are given below

Question: Prices of and article for six years are given below Year:198019811982198319841985Prices (in Rs.):101416202226 Obtain price index numbers (i) assuming 1980 as the base year, (ii) assuming …

### From the following data construct price index numbers for the years 1985 and 1990 by simple aggregate method taking 1980 as the base year

Question: From the following data construct price index numbers for the years 1985 and 1990 by simple aggregate method taking 1980 as the base year Solution:

### Using simple Aggregate method obtain index numbers for 1990 taking 1988 as the base year from the following data

Question: Using simple Aggregate method obtain index numbers for 1990 taking 1988 as the base year from the following data CommoditiesABCDE19881008016022040199014012018024040Price (in Rs) Solution: Computing Index number (Simple …

### From the price per unit and the units of quantity consumed of two commodities in the years 1980 and 1985 given as under compute value relatives:

Question: From the price per unit and the units of quantity consumed of two commodities in the years 1980 and 1985 given as under compute …

### For a set of 10 paired observations on X and Y, the coefficient of correlation is 0.856 and the standard deviation of Y is 6.50. Find the standard error of estimate of Y on X.

Question: For a set of 10 paired observations on X and Y, the coefficient of correlation is 0.856 and the standard deviation of Y is …

### From the data given below Calculate the standard error of the estimate (S yx and Sxy)

Question: From the data given below X621048Y911587 Calculate the standard error of the estimate (S yx and Sxy) Solution:

### From the following data obtain the two regression equations: X 6 2 10 4 8 Y 9 11 5 8 7

Question: From the following data obtain the two regression equations: X621048Y911587 X 6 2 10 4 8 Y 9 11 5 8 7 Solution: To determine the values of a …

### Make use of regression equation : Y=a+bX and determine the value of Y for an X equal to 10, assuming a is 4 and b is 2

Question: Make use of regression equation : Y=a+bX and determine the value of Y for an X equal to 10, assuming a is 4 and …

### From the following data of the marks obtained by 8 students in the Accountancy and Statistics papers compute Rank Coefficient of Correlation.

Question: From the following data of the marks obtained by 8 students in the Accountancy and Statistics papers compute Rank Coefficient of Correlation. Marks in Accountancy …

### Calculate Spearman’s rank correlation coefficient between advertisement cost and sales from the following data

Question: Calculate Spearman’s rank correlation coefficient between advertisement cost and sales from the following data correlation coefficient between advertisement cost and sales from the following data Advertisement …

### Calculate Pearson coefficient of correlation for the following series.

Question: Ten competitors in a beauty contest are ranked by three judges in the following order: 1st Judge: 1 6 5 10 3 2 4 9 …

### The rank of the same 15 students in two subjects A and B are given below; the two numbers within the brackets denoting the ranks of the same student in A and B respectively. (1,10) (2,7) (3,2) (4,6) (5,4) (6,8) (7,3) (8,1) (9,11) (10,15) (11,9) (12,5) (13,14) (14,12) (15,13).

Question: The rank of the same 15 students in two subjects A and B are given below; the two numbers within the brackets denoting the …

### The following table gives the frequency, according to group relationship between age and intelligence test.

Question: The following table gives the frequency, according to group relationship between age and intelligence test. Solution: Calculation of Coefficient of Correlation

### From the data given below find coefficient of correlation. Assume 8 and 9 as the mean values for X and Y respectively.

Question: From the data given below find coefficient of correlation. Assume 8 and 9 as the mean values for X and Y respectively. X:621048Y:911587 Solution: Calculation of Correlation …

### Calculate Pearson coefficient of correlation for the following series.

Question: Calculate Pearson coefficient of correlation for the following series. Price (Rs.):22242628303234363840Demand (Tonnes):60585850484848423632 Solution: Let price be denoted by X and demand by Y. Calculation of Pearson Correlation …

### Following are the students scores in BBA entrance examination and their score in graduation

Question: Following are the students scores in BBA entrance examination and their score in graduation Solution: The scatter diagram of the above data is shown below. Since the …

### The first four central moments of a distribution are 0, 2.5, 0.7 and 18.75. Test the skewness and Kurtosis of the distribution.

Question: The first four central moments of a distribution are 0, 2.5, 0.7 and 18.75. Test the skewness and Kurtosis of the distribution. Solution: Skewness is tested …

### From the following frequency distribution calculate the first four moments, b1, and b2.

Question: From the following frequency distribution calculate the first four moments, β1, and β2. Classf10-14115-19420-24825-291930-343535-392040-44745-49150-545 Solution: Let the assumed mean A=32

### You are given the position in a factory before and after the settlement of an industrial dispute. Comment on the gains or losses from the point of the workers and that of the management.

Question: You are given the position in a factory before and after the settlement of an industrial dispute. Comment on the gains or losses from …

### In a certain distribution the following results were obtained

Question: In a certain distribution the following results were obtained x = 45.00; Median = 48.00Coefficient of Skewness = -.4You are required to estimate the value …

### From the following data compute quartile deviation and the coefficient of skewness: Size 5-7 8-10 11-13 14-16 17-19 Frequency 14 24 38 20 4

Question: From the following data compute quartile deviation and the coefficient of skewness: Size5-78-1011-1314-1617-19Frequency142438204 Solution:

### Find the standard deviation and coefficient of skewness for the following distribution.

Question: Find the standard deviation and coefficient of skewness for the following distribution. Variable0-5-10-15-20-25-30-30-40Frequency25713211683 Solution: As nothing is specified skewness should be computed by Karl Pearson’s method.

### Calculate the Karl Pearson’s coefficient of skewness from the following data:

Question: Calculate the Karl Pearson’s coefficient of skewness from the following data: MarksNo. of studentsAbove 0150Above 10140Above 20100Above 3080Above 4080Above 5070Above 6030Above 7014Above 800 Solution: Since it is …

### Calculate the coefficient of skewness of the data of below Table based on quartiles.

Question: Calculate the coefficient of skewness of the data of below Table based on quartiles. Height (in inches)Number of persons5810591860306142623563286416658 Solution:

### Find the skewness from the following data

Question: Find the skewness from the following data Height (in inches)Number of persons5810591860306142623563286416658 Solution: Height is a continuous variable, and hence 58″ must be treated as 57.5″ – 58.5″, …

### Find the first four moments about the mean from the following data. Class-interval 0-10 10-20 20-30 30-40 Frequency 1 3 4 2

Question: Find the first four moments of the mean from the following data. Class-interval0-1010-2020-3030-40Frequency1342 Solution: In other words, we may say that if the extreme variations in a …

### A time study was conducted in a factory with the help of two samples A and B consisting of 10 workers. The time taken by the workers in each case recorded. From the particulars given below state which of the samples is more variable and which takes less time on an average.

Question: A time study was conducted in a factory with the help of two samples A and B consisting of 10 workers. The time taken …

### The analysis of the results of a budget survey of 150 families gave an average monthly expenditure of Rs. 120 on food items with a standard deviation of Rs. 15. After the analysis was completed it was noted that the figure recorded for one household was wrongly taken as Rs. 15 instead of Rs. 105. Determine the correct value of the average expenditure and its standard deviation.

Question: The analysis of the results of a budget survey of 150 families gave an average monthly expenditure of Rs. 120 on food items with …

### Calculate the mean deviation (using median) from the following data. Size of items 6 7 8 9 10 11 12 Frequency 3 6 9 13 8 5 4

Question: For a group of 50 male workers, the mean and standard deviation of their weekly wages are Rs. 63 and Rs. 9 respectively. For …

### Find the standard deviation of the following distribution: Age: 20-25 25-30 30-35 35-40 40-45 45-50 No of Persons: 170 110 80 45 40 35

Question: Find the standard deviation of the following distribution: Age:20-2525-3030-3535-4040-4545-50No of Persons:17011080454035 Take assumed average = 32.5 Solution:

### Compute the standard deviation by the short method for the following data 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21

Question: Compute the standard deviation by the short method for the following data 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21 Solution:

### Find the median and mean deviation of the following data

Question: Find the median and mean deviation of the following data SizeFrequency0-10710-201220-301830-402540-501650-601460-708 Solution:

### Calculate the mean deviation (using median) from the following data. Size of items 6 7 8 9 10 11 12 Frequency 3 6 9 13 8 5 4

Question: Calculate the mean deviation (using median) from the following data. Size of items 6 7 8 9 10 11 12 Frequency 3 6 9 13 8 …