# NCERT Solutions for Class 11 Math Chapter 15 - Statistics

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“Statistics” chapter of Class 11 Maths teaches analysis of frequency distributions with equal means but different variances, the measure of dispersion, the standard deviation of grouped/ungrouped data, mean deviation, etc.

##### Question 1:

Find the mean deviation about the mean for the following data :
6, 7, 10, 12, 13, 4, 8, 12.

##### Question 2:

Find the mean deviation from the mean for the following data :
12, 3, 18, 17, 4, 9, 17, 19, 20, 15, 8, 17, 2, 3, 16, 11, 3, 1, 0, 5.

##### Question 3:

Find the mean deviation from the median for the following data :
3, 9, 5, 3, 12, 10, 18, 4, 7, 19, 21.

##### Question 8:

Find the variance of the following data :
6, 8, 10, 12, 14, 16, 18, 20, 22, 24.

##### Question 14:

Coefficient of variations of two distributions are 60 and 70 and their standard deviations are 21 and 16 respectively. What are their arithmetic means ?

##### Question 16:

The variance of 20 observations is 5. If each observation is multiplied by 2, find the new variance of the resulting observations.

##### Question 17:

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

##### Question 19:

Find the mean deviation about the mean for the data in:
4, 7, 8, 9, 10, 12, 13, 17.

##### Question 20:

Find the mean deviation about the mean for the data in:
38, 70, 48, 40, 42, 55, 63, 46, 54, 44.

##### Question 21:

Find the mean deviation about the median for the data in:
13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17.

##### Question 22:

Find the mean deviation about the median for the data in:
36, 72, 46, 42, 60, 45, 53, 46, 51, 49.

##### Question 23:

Find the mean deviation about the mean for the data in:

##### Question 24:

Find the mean deviation about the mean for the data in:

##### Question 25:

Find the mean deviation about the median for the data in:

##### Question 26:

Find the mean deviation about the median for the data in:

##### Question 27:

Find the mean deviation about mean for data in:

##### Question 28:

Find the mean deviation about mean for data in:

##### Question 29:

Find the mean deviation about median for the following data :

##### Question 30:

Calculate the mean deviation about median for the age distribution of 100 persons given below :

Converting the given data into continuous frequency distribution by subtracting 0·5 from the lower and adding 0·5 to the upper limit of each class-interval, we have :

##### Question 31:

Find the mean and variance for the following data in:
6, 7, 10, 12, 13, 4, 8, 12.

##### Question 32:

Find the mean and variance for the following data in:
First n natural numbers.

##### Question 33:

Find the mean and variance for the following data in:
First 10 multiples of 3.

##### Question 34:

Find the mean and variance for the following data in:

##### Question 35:

Find the mean and variance for the following data in:

##### Question 37:

Find the mean and variance for the following distribution in:

##### Question 38:

Find the mean and variance for the following distribution in:

##### Question 40:

Converting the given data into continuous frequency distribution by subtracting 0·5 from the lower and adding 0·5 to the upper but of each class-interval, we have :

##### Question 42:

Hence the shares Y is more stable than the shares X.