1173 + Interview Questions in Statistics Page 1 InterviewSolution

1.	List the ways to refine the design of a report.
Answer» List the ways to refine the design of a report.

Discussion

2.	Class mark of a class is _____
Answer» Class mark of a class is _____

Discussion

3.

The table below shows the yield of jowar per acre. Show the data by histogram. Yield per acre (quintal) 2 - 3 4 - 5 6 - 7 8 - 9 10 - 11 No. of farmers 30 50 55 40 20

Answer» The table below shows the yield of jowar per acre. Show the data by histogram.

Yield per acre (quintal)	2 - 3	4 - 5	6 - 7	8 - 9	10 - 11
No. of farmers	30	50	55	40	20

Discussion

4.	If the difference between the mean and variance of a binomial distribution for 5 trials is 59, then the distribution is
Answer» If the difference between the mean and variance of a binomial distribution for $5$ trials is $\frac{5}{9},$ then the distribution is

Discussion

5.	The mean and standard deviation of 100 observations were calculated as 40 and 5.1 respectively by a student who took by mistake 50 instead of 40 for one observation. What are the correct mean and standard deviation?
Answer» The mean and standard deviation of 100 observations were calculated as 40 and 5.1 respectively by a student who took by mistake 50 instead of 40 for one observation. What are the correct mean and standard deviation?

Discussion

6.

Calculate coefficient of variation from the following data: Variables 10 20 30 40 50 60 70 Frequencies 6 8 16 15 32 11 12

Answer» Calculate coefficient of variation from the following data:

Variables	10	20	30	40	50	60	70
Frequencies	6	8	16	15	32	11	12

Discussion

7.

Given the following data-set, calculate range and the coefficient of range: Size 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 Frequency 4 5 6 3 2 1 3 5

Answer» Given the following data-set, calculate range and the coefficient of range:

Size	4.5	5.5	6.5	7.5	8.5	9.5	10.5	11.5
Frequency	4	5	6	3	2	1	3	5

Discussion

8.	Find the mean deviation and coefficient of mean deviation from the following data X1012182334456275
Answer» Find the mean deviation and coefficient of mean deviation from the following data $\begin{matrix} X & 10 & 12 & 18 & 23 & 34 & 45 & 62 & 75 \end{matrix}$

8.

Find the mean deviation and coefficient of mean deviation from the following data X1012182334456275

Answer»

Find the mean deviation and coefficient of mean deviation from the following data

$\begin{matrix} X & 10 & 12 & 18 & 23 & 34 & 45 & 62 & 75 \end{matrix}$

Discussion

9.

Following data relate to the construction of a house in Delhi. Present the information in the form of a pie diagram: Items Labour Bricks Cement Steel Timber Supervision Percentage Expenditure 25 15 20 15 10 15

Answer» Following data relate to the construction of a house in Delhi. Present the information in the form of a pie diagram:

Items	Labour	Bricks	Cement	Steel	Timber	Supervision
Percentage Expenditure	25	15	20	15	10	15

Discussion

10.	The marks obtained by 40 students in class X of a certain school in a math paper of maximum marks '100' are presented in the table. Find the mean using direct method.Class Interval0−1010−2020−3030−4040−50Number of students3413155 28.75
Answer» The marks obtained by 40 students in class X of a certain school in a math paper of maximum marks '100' are presented in the table. Find the mean using direct method. $\begin{matrix} C l a s s I n t e r v a l & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 N u m b e r o f s t u d e n t s & 3 & 4 & 13 & 15 & 5 \end{matrix}$ 28.75

10.

The marks obtained by 40 students in class X of a certain school in a math paper of maximum marks '100' are presented in the table. Find the mean using direct method.Class Interval0−1010−2020−3030−4040−50Number of students3413155 28.75

Answer»

The marks obtained by 40 students in class X of a certain school in a math paper of maximum marks '100' are presented in the table. Find the mean using direct method.

$\begin{matrix} C l a s s I n t e r v a l & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 N u m b e r o f s t u d e n t s & 3 & 4 & 13 & 15 & 5 \end{matrix}$

28.75

Discussion

11.	Mode is the ___ .
Answer» Mode is the ___ .

Discussion

12.	Find out the frequency of AabbCcDdee if parentsare AabbCCddEe and AabbccDdee(1) 0.78%(3) 25%(2)(4)12.5%50%
Answer» Find out the frequency of AabbCcDdee if parentsare AabbCCddEe and AabbccDdee(1) 0.78%(3) 25%(2)(4)12.5%50%

Discussion

13.	In the assumed mean method, if A is the assumed mean, then deviation D is :
Answer» In the assumed mean method, if A is the assumed mean, then deviation D is :

Discussion

14.	Why is r preferred to covariance as a measure of association ?
Answer» Why is r preferred to covariance as a measure of association ?

Discussion

15.	Standard deviation about mean (¯x) for a given discrete frequency distribution x1,x2,x3,.....xn with frequencies f1,f2,f3,...fn is
Answer» Standard deviation about mean $(¯ x)$ for a given discrete frequency distribution $x_{1}, x_{2}, x_{3}, . . . . . x_{n}$ with frequencies $f_{1}, f_{2}, f_{3}, . . . f_{n}$ is

Discussion

16.	In most of the weighted index numbers the weight pertains to (i) base year (ii) current year
Answer» In most of the weighted index numbers the weight pertains to (i) base year (ii) current year

16.

In most of the weighted index numbers the weight pertains to (i) base year (ii) current year

Answer»

In most of the weighted index numbers the weight pertains to (i) base year

(ii) current year

Discussion

17.	'The Government and policymakers use statistical data to formulate suitable policies of economic development'. Illustrate with two examples.
Answer» 'The Government and policymakers use statistical data to formulate suitable policies of economic development'. Illustrate with two examples.

Discussion

18.	Explanation of mode with grouping method in continuous series .
Answer» Explanation of mode with grouping method in continuous series .

Discussion

19.	The following table contains the quantity of goods supplied by a firm at different prices. Use interpolation to find what quantity of goods would the firm supply at a price of Rs 85. Price (X) Quantity (Y)251950327539100481256315068
Answer» The following table contains the quantity of goods supplied by a firm at different prices. Use interpolation to find what quantity of goods would the firm supply at a price of Rs 85. $\begin{matrix} P r i c e (X) & Q u a n t i t y (Y) 25 & 19 50 & 32 75 & 39 100 & 48 125 & 63 150 & 68 \end{matrix}$

Discussion

20.

Calculate arithmetic mean of the following frequency distribution: Class less than 10 10−20 20−30 30−40 40−50 50−60 more than 60 Frequency 5 12 18 22 6 4 3

Answer» Calculate arithmetic mean of the following frequency distribution:

Class	less than 10	10−20	20−30	30−40	40−50	50−60	more than 60
Frequency	5	12	18	22	6	4	3

Discussion

21.	The consumer price index for June, 2005 was 125. The food index was 120 and that of other items. What is the percentage of the total weight given to food?
Answer» The consumer price index for June, 2005 was 125. The food index was 120 and that of other items. What is the percentage of the total weight given to food?

Discussion

22.	A ____ uses bars to show comparison of data.
Answer» A ____ uses bars to show comparison of data.

Discussion

23.

Calculate mode from the following series: Size 1 2 3 4 5 6 7 8 9 10 Frequency 8 6 10 12 20 12 5 3 2 4

Answer» Calculate mode from the following series:

Size	1	2	3	4	5	6	7	8	9	10
Frequency	8	6	10	12	20	12	5	3	2	4

Discussion

24.	Mention the merits and demerits of arithmetic mean.
Answer» Mention the merits and demerits of arithmetic mean.

Discussion

25.

Make a frequency polygon and histogram using the given data: Marks Obtained 10−20 20−30 30−40 40−50 50−60 60−70 Number of Students 5 12 15 22 14 4

Answer» Make a frequency polygon and histogram using the given data:

Marks Obtained	10−20	20−30	30−40	40−50	50−60	60−70
Number of Students	5	12	15	22	14	4

Discussion

26.

Following is the height of 10 students: Students A B C D E F G H I J Height (cm) 155 153 168 160 162 166 164 180 157 165 Calculate arithmetic mean using DIrect and Short-cut Methods.

Answer» Following is the height of 10 students:

Students	A	B	C	D	E	F	G	H	I	J
Height (cm)	155	153	168	160	162	166	164	180	157	165

Calculate arithmetic mean using DIrect and Short-cut Methods.

Discussion

27.	Find the range of the following data 92629−1062273424123133023413−95−6−4
Answer» Find the range of the following data $\begin{matrix} 9 & 26 & 29 & - 10 & 6 22 & 7 & 34 & 24 & 1 23 & 13 & 30 & 2 & 34 13 & - 9 & 5 & - 6 & - 4 \end{matrix}$

Discussion

28.	In the rules for rounding off , according to the first rule what will happen if the last digit is five or greater than five ?
Answer» In the rules for rounding off , according to the first rule what will happen if the last digit is five or greater than five ?

Discussion

29.	The solution to the problem of Unemployment in India lies in the careful development of the MSME sector. Suggest some long-term solutions for the economic and financial sustainability of the MSME sector.
Answer» The solution to the problem of Unemployment in India lies in the careful development of the MSME sector. Suggest some long-term solutions for the economic and financial sustainability of the MSME sector.

Discussion

30.	A weighted index number is generally preferred to an unweighted index number. Why?
Answer» A weighted index number is generally preferred to an unweighted index number. Why?

Discussion

31.	The distribution of the number of hours per week spent studying by a group of 50 students is given below. Calculate the standard deviation using the assumed mean method. No. of hours0−1010−2020−3030−4040−50No. of students2010875
Answer» The distribution of the number of hours per week spent studying by a group of 50 students is given below. Calculate the standard deviation using the assumed mean method. $\begin{matrix} No. of hours & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 No. of students & 20 & 10 & 8 & 7 & 5 \end{matrix}$

Discussion

32.	Write out the journal entries to rectify the following errors, using a suspense account. (i) Goods of the value of Rs. 1,000 returned by P were entered in the sales daybook and posted therefrom to the credit of his account. (ii) An amount of Rs. 1,500 entered in the sales returns book, has been posted to the debit of Q who returned the goods. (iii) A sale of Rs. 2,000 made to R was correctly entered in the sales day book but wrongly posted to the debit of S as Rs. 200. (iv) Bad debts aggregating Rs. 4,500 were written-off during the year in the sales ledger but were not adjusted in the general ledger. (v) The total of 'discount allowed' column in the cash book for the month of September, 2016 amounting to Rs. 2,500 was not posted.
Answer» Write out the journal entries to rectify the following errors, using a suspense account. (i) Goods of the value of Rs. 1,000 returned by P were entered in the sales daybook and posted therefrom to the credit of his account. (ii) An amount of Rs. 1,500 entered in the sales returns book, has been posted to the debit of Q who returned the goods. (iii) A sale of Rs. 2,000 made to R was correctly entered in the sales day book but wrongly posted to the debit of S as Rs. 200. (iv) Bad debts aggregating Rs. 4,500 were written-off during the year in the sales ledger but were not adjusted in the general ledger. (v) The total of 'discount allowed' column in the cash book for the month of September, 2016 amounting to Rs. 2,500 was not posted.

32.

Write out the journal entries to rectify the following errors, using a suspense account. (i) Goods of the value of Rs. 1,000 returned by P were entered in the sales daybook and posted therefrom to the credit of his account. (ii) An amount of Rs. 1,500 entered in the sales returns book, has been posted to the debit of Q who returned the goods. (iii) A sale of Rs. 2,000 made to R was correctly entered in the sales day book but wrongly posted to the debit of S as Rs. 200. (iv) Bad debts aggregating Rs. 4,500 were written-off during the year in the sales ledger but were not adjusted in the general ledger. (v) The total of 'discount allowed' column in the cash book for the month of September, 2016 amounting to Rs. 2,500 was not posted.

Answer»

Write out the journal entries to rectify the following errors, using a suspense account.

(i) Goods of the value of Rs. 1,000 returned by P were entered in the sales daybook and posted therefrom to the credit of his account.

(ii) An amount of Rs. 1,500 entered in the sales returns book, has been posted to the debit of Q who returned the goods.

(iii) A sale of Rs. 2,000 made to R was correctly entered in the sales day book but wrongly posted to the debit of S as Rs. 200.

(iv) Bad debts aggregating Rs. 4,500 were written-off during the year in the sales ledger but were not adjusted in the general ledger.

(v) The total of 'discount allowed' column in the cash book for the month of September, 2016 amounting to Rs. 2,500 was not posted.

Discussion

33.	Some measures of dispersion depend upon the spread of values whereas some calculate the variation of values from a central value. Do you agree?
Answer» Some measures of dispersion depend upon the spread of values whereas some calculate the variation of values from a central value. Do you agree?

Discussion

34.	what is radio active dating?
Answer» what is radio active dating?

Discussion

35.	___ bridge the gap between manufacturers and consumers.
Answer» ___ bridge the gap between manufacturers and consumers.

Discussion

36.	If x is the arithmetic mean of y and z and the two geometric means between y and z are G1 and G2, then G31+G32=.
Answer» If x is the arithmetic mean of y and z and the two geometric means between y and z are $G_{1} and G_{2}$ , then $G_{1}^{3} + G_{2}^{3} =$ .

Discussion

37.	On a particular day, Mr, X was to begin the work in the batch at 11.00 a.m. with a pass code ' he slowly recedes to his inner apartment intellect' However, he came late on that day and hence joined the batch at 12 noon. What was his pass code then?
Answer» On a particular day, Mr, X was to begin the work in the batch at 11.00 a.m. with a pass code ' he slowly recedes to his inner apartment intellect' However, he came late on that day and hence joined the batch at 12 noon. What was his pass code then?

Discussion

38.	Differentiate between classification and tabulation.
Answer» Differentiate between classification and tabulation.

Discussion

39.	For the frequency distribution:Variate (x): x1 x2 x3⋯x15Frequency f(x): f1 f2 f3⋯f15where 0<x1<x2<x3<....<x15=10 and 15∑i=1fi>0, the standard deviation cannot be:
Answer» For the frequency distribution: Variate $(x) : x_{1} x_{2} x_{3} \dots x_{15}$ Frequency $f (x) : f_{1} f_{2} f_{3} \dots f_{15}$ where $0 < x_{1} < x_{2} < x_{3} < . . . . < x_{15} = 10$ and $15 \sum i = 1 f_{i} > 0$ , the standard deviation cannot be:

Discussion

40.	dummy - Which of the following is the correct formula for the correlation coefficient, r?
Answer» dummy - Which of the following is the correct formula for the correlation coefficient, r?

Discussion

41.	Two employees A and B in a company ranked 5 tasks in their order of preference, 1 being the highest and 5 being the lowest preference. Calculate the rank coefficient for the data. TaskABT135T212T341T423T554
Answer» Two employees A and B in a company ranked 5 tasks in their order of preference, 1 being the highest and 5 being the lowest preference. Calculate the rank coefficient for the data. $\begin{matrix} T a s k & A & B T_{1} & 3 & 5 T_{2} & 1 & 2 T_{3} & 4 & 1 T_{4} & 2 & 3 T_{5} & 5 & 4 \end{matrix}$

Discussion

42.	The mean and standard deviation of 20 observations are found to be 10 and 2 respectively. On rechecking it was found that an observation 8 was incorrect. Calculate the correct mean and standard deviation when (i) the wrong item is omitted, (ii) the wrong item is replaced by 12.
Answer» The mean and standard deviation of 20 observations are found to be 10 and 2 respectively. On rechecking it was found that an observation 8 was incorrect. Calculate the correct mean and standard deviation when (i) the wrong item is omitted, (ii) the wrong item is replaced by 12.

42.

The mean and standard deviation of 20 observations are found to be 10 and 2 respectively. On rechecking it was found that an observation 8 was incorrect. Calculate the correct mean and standard deviation when (i) the wrong item is omitted, (ii) the wrong item is replaced by 12.

Answer»

The mean and standard deviation of 20 observations are found to be 10 and 2 respectively. On rechecking it was found that an observation 8 was incorrect. Calculate the correct mean and standard deviation when

(i) the wrong item is omitted,

(ii) the wrong item is replaced by 12.

Discussion

43.

Compute mode of the following series: Mid-values51015202530354045Frequency713192432281786

Answer»

Compute mode of the following series:

$\begin{matrix} Mid-values & 5 & 10 & 15 & 20 & 25 & 30 & 35 & 40 & 45 Frequency & 7 & 13 & 19 & 24 & 32 & 28 & 17 & 8 & 6 \end{matrix}$

Discussion

44.

Obtain the mean, median and mode of the following data: Marks 0−10 10−20 20−30 30−40 40−50 50−60 60−70 70−80 Number of Students 5 7 15 25 20 15 8 5

Answer» Obtain the mean, median and mode of the following data:

Marks	0−10	10−20	20−30	30−40	40−50	50−60	60−70	70−80
Number of Students	5	7	15	25	20	15	8	5

Discussion

45.

Following is some information regarding a family’s expenditure: ExpensesFood 40%Fuel 10%Clothing 15%Rent 15%Misc 20%2000 Prices (Rs)200050010004003001990 Prices (Rs)1600250600300200 What is the cost of living index of the year 2000 as compared with the year 1990?

Answer»

Following is some information regarding a family’s expenditure:

$\begin{matrix} Expenses & Food 40 % & Fuel 10 % & Clothing 15 % & Rent 15 % & Misc 20 % 2000 Prices (Rs) & 2000 & 500 & 1000 & 400 & 300 1990 Prices (Rs) & 1600 & 250 & 600 & 300 & 200 \end{matrix}$

What is the cost of living index of the year 2000 as compared with the year 1990?

Discussion

46.	Prepare both types of ogives (less than and more than) from the following data: Weight (in kg)30−3435−3940−4445−4950−5455−5960−64Frequency3512181462
Answer» Prepare both types of ogives (less than and more than) from the following data: $\begin{matrix} Weight (in kg) & 30 - 34 & 35 - 39 & 40 - 44 & 45 - 49 & 50 - 54 & 55 - 59 & 60 - 64 Frequency & 3 & 5 & 12 & 18 & 14 & 6 & 2 \end{matrix}$

Discussion

47.	Johnson has just acquired raw data about the housing situation in his locality. He decides to classify and present this data on the basis of age groups, like the table below. What type of classification has Johnson opted for? AgeWith ResidenceWithout Residence20−2512925−3010430−35141035−4020740−4512645 and above235
Answer» Johnson has just acquired raw data about the housing situation in his locality. He decides to classify and present this data on the basis of age groups, like the table below. What type of classification has Johnson opted for? $\begin{matrix} A g e & With Residence & Without Residence 20 - 25 & 12 & 9 25 - 30 & 10 & 4 30 - 35 & 14 & 10 35 - 40 & 20 & 7 40 - 45 & 12 & 6 45 and above & 23 & 5 \end{matrix}$

Discussion

48.	The mean of the following distribution is 52 and the frequency of class interval 30 - 40 is 'f'. Find 'f'. Class IntervalFrequency10−20520−30330−40f40−50750−60260−70670−8013 [4 MARKS]
Answer» The mean of the following distribution is 52 and the frequency of class interval 30 - 40 is 'f'. Find 'f'. $\begin{matrix} C l a s s I n t e r v a l & F r e q u e n c y 10 - 20 & 5 20 - 30 & 3 30 - 40 & f 40 - 50 & 7 50 - 60 & 2 60 - 70 & 6 70 - 80 & 13 \end{matrix}$ [4 MARKS]

Discussion

49.	Find the mean of the following data.Class0−1010−2020−3030−4040−50Frequency671197
Answer» Find the mean of the following data. $\begin{matrix} C l a s s & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 F r e q u e n c y & 6 & 7 & 11 & 9 & 7 \end{matrix}$

Discussion

50.

The mean of the following frequency table is 10. Find the value of a. xi fi 10 10 12 5 14 a 15 2 5 8

Answer» The mean of the following frequency table is 10. Find the value of a.

$x_{i}$	$f_{i}$
10	10
12	5
14	a
15	2
5	8

Discussion

Explore topic-wise InterviewSolutions in .

List the ways to refine the design of a report.

Class mark of a class is _____

The table below shows the yield of jowar per acre. Show the data by histogram. Yield per acre (quintal) 2 - 3 4 - 5 6 - 7 8 - 9 10 - 11 No. of farmers 30 50 55 40 20

If the difference between the mean and variance of a binomial distribution for 5 trials is 59, then the distribution is

The mean and standard deviation of 100 observations were calculated as 40 and 5.1 respectively by a student who took by mistake 50 instead of 40 for one observation. What are the correct mean and standard deviation?

Calculate coefficient of variation from the following data: Variables 10 20 30 40 50 60 70 Frequencies 6 8 16 15 32 11 12

Given the following data-set, calculate range and the coefficient of range: Size 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 Frequency 4 5 6 3 2 1 3 5

Find the mean deviation and coefficient of mean deviation from the following data X1012182334456275

Following data relate to the construction of a house in Delhi. Present the information in the form of a pie diagram: Items Labour Bricks Cement Steel Timber Supervision Percentage Expenditure 25 15 20 15 10 15

The marks obtained by 40 students in class X of a certain school in a math paper of maximum marks '100' are presented in the table. Find the mean using direct method.Class Interval0−1010−2020−3030−4040−50Number of students3413155 28.75

Mode is the ___ .

Find out the frequency of AabbCcDdee if parentsare AabbCCddEe and AabbccDdee(1) 0.78%(3) 25%(2)(4)12.5%50%

In the assumed mean method, if A is the assumed mean, then deviation D is :

Why is r preferred to covariance as a measure of association ?

Standard deviation about mean (¯x) for a given discrete frequency distribution x1,x2,x3,.....xn with frequencies f1,f2,f3,...fn is

In most of the weighted index numbers the weight pertains to (i) base year (ii) current year

'The Government and policymakers use statistical data to formulate suitable policies of economic development'. Illustrate with two examples.

Explanation of mode with grouping method in continuous series .

The following table contains the quantity of goods supplied by a firm at different prices. Use interpolation to find what quantity of goods would the firm supply at a price of Rs 85. Price (X) Quantity (Y)251950327539100481256315068

Calculate arithmetic mean of the following frequency distribution: Class less than 10 10−20 20−30 30−40 40−50 50−60 more than 60 Frequency 5 12 18 22 6 4 3

The consumer price index for June, 2005 was 125. The food index was 120 and that of other items. What is the percentage of the total weight given to food?

A ____ uses bars to show comparison of data.

Calculate mode from the following series: Size 1 2 3 4 5 6 7 8 9 10 Frequency 8 6 10 12 20 12 5 3 2 4

Mention the merits and demerits of arithmetic mean.

Make a frequency polygon and histogram using the given data: Marks Obtained 10−20 20−30 30−40 40−50 50−60 60−70 Number of Students 5 12 15 22 14 4

Following is the height of 10 students: Students A B C D E F G H I J Height (cm) 155 153 168 160 162 166 164 180 157 165 Calculate arithmetic mean using DIrect and Short-cut Methods.

Find the range of the following data 92629−1062273424123133023413−95−6−4

In the rules for rounding off , according to the first rule what will happen if the last digit is five or greater than five ?

The solution to the problem of Unemployment in India lies in the careful development of the MSME sector. Suggest some long-term solutions for the economic and financial sustainability of the MSME sector.

A weighted index number is generally preferred to an unweighted index number. Why?

The distribution of the number of hours per week spent studying by a group of 50 students is given below. Calculate the standard deviation using the assumed mean method. No. of hours0−1010−2020−3030−4040−50No. of students2010875

Some measures of dispersion depend upon the spread of values whereas some calculate the variation of values from a central value. Do you agree?

what is radio active dating?

___ bridge the gap between manufacturers and consumers.

If x is the arithmetic mean of y and z and the two geometric means between y and z are G1 and G2, then G31+G32=.

On a particular day, Mr, X was to begin the work in the batch at 11.00 a.m. with a pass code ' he slowly recedes to his inner apartment intellect' However, he came late on that day and hence joined the batch at 12 noon. What was his pass code then?

Differentiate between classification and tabulation.

For the frequency distribution:Variate (x): x1 x2 x3⋯x15Frequency f(x): f1 f2 f3⋯f15where 0&lt;x1&lt;x2&lt;x3&lt;....&lt;x15=10 and 15∑i=1fi&gt;0, the standard deviation cannot be:

dummy - Which of the following is the correct formula for the correlation coefficient, r?

Two employees A and B in a company ranked 5 tasks in their order of preference, 1 being the highest and 5 being the lowest preference. Calculate the rank coefficient for the data. TaskABT135T212T341T423T554

The mean and standard deviation of 20 observations are found to be 10 and 2 respectively. On rechecking it was found that an observation 8 was incorrect. Calculate the correct mean and standard deviation when (i) the wrong item is omitted, (ii) the wrong item is replaced by 12.

Compute mode of the following series: Mid-values51015202530354045Frequency713192432281786

Obtain the mean, median and mode of the following data: Marks 0−10 10−20 20−30 30−40 40−50 50−60 60−70 70−80 Number of Students 5 7 15 25 20 15 8 5

Following is some information regarding a family’s expenditure: ExpensesFood 40%Fuel 10%Clothing 15%Rent 15%Misc 20%2000 Prices (Rs)200050010004003001990 Prices (Rs)1600250600300200 What is the cost of living index of the year 2000 as compared with the year 1990?

Prepare both types of ogives (less than and more than) from the following data: Weight (in kg)30−3435−3940−4445−4950−5455−5960−64Frequency3512181462

The mean of the following distribution is 52 and the frequency of class interval 30 - 40 is 'f'. Find 'f'. Class IntervalFrequency10−20520−30330−40f40−50750−60260−70670−8013 [4 MARKS]

Find the mean of the following data.Class0−1010−2020−3030−4040−50Frequency671197

The mean of the following frequency table is 10. Find the value of a. xi fi 10 10 12 5 14 a 15 2 5 8

For the frequency distribution:Variate (x): x1 x2 x3⋯x15Frequency f(x): f1 f2 f3⋯f15where 0<x1<x2<x3<....<x15=10 and 15∑i=1fi>0, the standard deviation cannot be: