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RD Chapter 32 Statistics Ex 32.4 Solutions

Question - 1 : -

Find the mean,variance and standard deviation for the following data:
(i) 2, 4, 5, 6, 8, 17

(ii) 6, 7, 10, 12,13, 4, 8, 12

Answer - 1 : -

(i)
(ii) 

Question - 2 : - The variance of 20 observations is 4. If each observation is multiplied by 2, find the variance of the resulting observations.

Answer - 2 : -


Question - 3 : -

The variance of 15observations is 4. If each observation is increased by 9, find the variance ofthe resulting observations.

Answer - 3 : -


Question - 4 : -

The mean of 5observations is 4.4 and their variance is 8.24. If three of the observationsare 1, 2 and 6, find the other two observations.

Answer - 4 : -


Question - 5 : - The mean and standard deviation of 6 observations are 8 and 4 respectively. If each observation is multiplied by 3, find the new mean and new standard deviation of the resulting observations.

Answer - 5 : -


∴ Themean of new observation is 24 and Standard deviation of new observation is 12.

Question - 6 : - The mean and variance of 8 observations are 9 and 9.25 respectively. If six of the observations are 6, 7, 10, 12, 12 and 13, find the remaining two observations.

Answer - 6 : -


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