Answers (Solutions)

Practical  No.8

8) Measures of Dispersion

Practical Session No. 8-Measures of Dispersion

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Practical Session No. 8

Measures of Dispersion

(1) For the following data : 710, 635, 423, 221, 971, 843, 307, 289. Which are the extreme values in this data ? and compute the range.

(2) A die is rolled 30 times and the following distribution is obtained. Find the variance and the standard deviation.

Score

1

2

3

4

5

6

Frequency

2

6

2

5

9

6

Repeat the experiment and construct the frequency table as shown above. Find its mean and standard deviation.

(3) Find the mean and the standard deviation of the first 𝑛 natural numbers. Hence find the mean and the standard deviation of the first 200 natural numbers.

(4) The following table shows weight of students of two classes. Calculate the coefficient of variation of the two distributions.

Weight in Kg.

Class A

Class B

30-40

8

9

40-50

16

12

50-60

12

18

Also find the mean and the standard deviation for both the classes.