Measure of Dispersion NEB Questions With Solutions

1 (1)

Find the standard deviation from the following data and interpret the result.

Wage (Rs.)	45	50	55	60	65
No. of labours	3	5	8	7	4

Ans: 6.0405

2 (1)

Find the standard deviation from the following data and interpret the result.

Income (Rs.)	14	15	18	20	22	28
No. of family	4	3	4	5	2	2

Ans: 4.0899

3 (1)

Two companies A and B furnish the following details of their average wage rate and standard deviation. Find out which company shows more consistency.

Company	Average Wage rate	Standard Deviation
A	40	8
B	50	12

4 (1)

Find the standard deviation from the following data and interpret the result.

Wage (Rs.)	15	22	26	32	35
No. of labours	4	5	3	6	2

Ans: 6.84

5 (1)

Find the standard deviation from the following data and interpret the result.

Wage (Rs.)	No. of labours
5	8
15	4
25	5
35	3
45	5

Ans: 15.1

6 (1)

Suppose two groups of students are the following data:

Group	Mean	Variance
A	60	169
B	45	169

Find the standard deviations and coefficient of variation of each group.
Which one of the groups is more consistent? Justify your answer.

Ans: (a) σ_A = 13, CV_A = 21.67%,σ_B = 13, CV_B 28.89%

7 (1)

Find the value of 'X' if the mean of given data is 35. Income in Rs. 10, 20, X, 40, 60.

Ans: 45

8 (1)

If median = 23 and mode = 25, find the value of arithmetic mean.

Ans: 22

9 (1)

If arithmetic mean = 22 and mode = 25, find the value of median.

Ans: 23

10 (1)

Find the standard deviation from the following data and interpret the result.

Expenditure (Rs.)	15	25	30	32	36
Bsinessmen	4	7	5	3	2

Ans: 6.46

11 (1)

Find the standard deviation from the given data. Standard deviation is considered superior to Mean deviation, why? Justify this statement with two reasons.

Marks	45	50	55	60	65
No. of students	3	5	8	7	4

Ans: 6.03

12 (1)

Solve the following question based on the average wage rates and standard deviations of two similar companies X and Y as represented in the table.

Company	Average wage rate	Standard deviation
X	45	13
Y	40	12

Find the coefficient of variation for each company.
which company's wage rate is more consistent and why? Give reason.

Ans: (a)CV_x = 32.5, CV_y = 28 (b)Company Y

13 (1)

Solve the following question based on the average wage rates and standard deviations of two similar companies X and Y as represented in the table.

Company	Average wage rate	Standard deviation
X	40	13
Y	50	14

Find the coefficient of variation for each company.
which company's wage rate is more consistent and why? Give reason.

Ans: (a)CV_x = 28.9, CV_y = 30 (b)Company X

Measure of Dispersion

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