RD SHARMA Solutions for Class 11science Maths Chapter 32  Statistics
Chapter 32  Statistics Exercise Ex. 32.1
Calculate the mean deviation about the mean of the following data:
(v) 57, 64, 43, 67, 49, 59, 44, 47, 61, 59
Calculate the mean deviation on the following income groups of five and seven members from their medians:
I Income in Rs. 
II income in Rs. 
4000 
3800 
4200 
4000 
4400 
4200 
4600 
4400 
4800 
4600 

4800 

5800 
Note: Answer given in the book is incorrect.
Chapter 32  Statistics Exercise Ex. 32.2
Find the mean deviation from the mean for the following data:
Size: 
1 3 5 7 9 11 13 15 
Frequency: 
3 3 4 14 7 4 3 4 
Find the mean deviation from the median for the following data:
x_{i} 
15 21 27 30 
f_{i} 
3 5 6 7 
Note: Answer given in the book is incorrect.
Chapter 32  Statistics Exercise Ex. 32.3
Calculate mean deviation about median age for the age distribution of 100 persons given below:
Age: 
1620 
2125 
2630 
3135 
3640 
4145 
4550 
5055 
Number of persons 
5 
6 
12 
14 
26 
12 
16 
9 
Chapter 32  Statistics Exercise Ex. 32.4
Find the mean, variance and standard deviation for the data:
6, 7, 10, 12, 13, 4, 8, 12.
Show that the two formulae for the standard deviation of ungrouped data
Chapter 32  Statistics Exercise Ex. 32.5
(i)
(ii)
(ii)
Chapter 32  Statistics Exercise Ex. 32.6
Calculate the Mean, median and Standard Deviation of the following distribution:
Mean and standard deviation of 100 observation were found to be 40 and 10 respectively. If at the time of calculation two observations were wrongly taken as 30 and 70 in place of 3 and 27 respectively, find the correct standard deviation.
While calculating the mean and variance of 10 readings , a student wrongly used the reading of 52 for the correct reading 25. He obtained the mean and variance as 45 and 16 respectively. Find the correct mean and the variance.
Find the mean and variance of frequency distribution given below:
x_{i}: 
1x <3 
3 x<5 
5x<7 
7x<9 
F_{i}: 
6 
4 
5 
1 
Note: Answer given in the book is incorrect.
Calculate mean, variance and standard deviation of the following frequency distribution:
Class: 
010 
1020 
2030 
3040 
4050 
5060 
Frequency: 
11 
29 
18 
4 
5 
3 
Chapter 32  Statistics Exercise Ex. 32.7
We observe that the average monthly wages in both firms is same i.e. Rs. 2500. Therefore the plant with greater variance will have greater variability. Thus plant B has greater variability in individual wages.
Life of bulbs product by two factories A and B are given below:
Length of life (in hours): Factory A: 
550650 650750 750850 850950 9501050 
(Number of bulbs) Factor B: 
10 22 52 20 16 
(Number of bulbs) 
8 60 24 15 12 
The bulbs of which factory are more consistent from the point of view of length of life?
Following are mark obtained, out of 100, by two students Ravi and Hashina in 10 tests:
Ravi: 
25 50 45 30 70 42 36 48 35 60 
Hashina: 
10 70 50 20 95 55 42 60 48 80 
Who is more intelligent and who is more consistent?
Chapter 32  Statistics Exercise Ex. 32VSAQ
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