Class 11-commerce RD SHARMA Solutions Maths Chapter 32: Statistics
Statistics Exercise Ex. 32.1
Solution 1(i)
Solution 1(ii)
We have,
∑ |xi - 47| = ∑di = 86
∴ M.D = 1/n ∑|di| = 1/10 [86] = 8.6
Solution 1(iii)
Arranging the observations in ascending order of magnitude, we have
|
30 |
|
34 |
|
38 |
|
40 |
|
42 |
|
44 |
|
50 |
|
51 |
|
60 |
|
66 |
Solution 1(iv)
Arranging the observation in ascending order of magnitude, we have
|
22 |
|
24 |
|
25 |
|
27 |
|
28 |
|
29 |
|
30 |
|
31 |
|
41 |
|
42 |
Solution 1(v)
Arranging the observations in ascending order of magnitude, we have
|
34 |
|
38 |
|
42 |
|
44 |
|
47 |
|
48 |
|
53 |
|
55 |
|
63 |
|
70 |
Clearly, the middle observation is So, median = 47.5
|
Calculation of Mean Deviation |
|
|
X-values |
Deviation from Median |
|
38 |
9.5 |
|
70 |
22.5 |
|
48 |
0.5 |
|
34 |
13.5 |
|
63 |
15.5 |
|
42 |
5.5 |
|
55 |
7.5 |
|
44 |
3.5 |
|
53 |
5.5 |
|
47 |
0.5 |
|
Total |
84 |
Solution 2(i)
Solution 2(ii)
Solution 2(iii)
Solution 2(iv)
Solution 2(v)
Solution 4
Solution 5(i)
Solution 5(ii)
Solution 5(iii)
Solution 6
Solution 3
Note: Answer given in the book is incorrect.
Statistics Exercise Ex. 32.2
Solution 1
Solution 2
Solution 3
Solution 4(i)
Solution 4(ii)
Solution 4(iii)
Solution 4(iv)
Solution 5(ii)
Solution 5(iii)
Solution 4(v)
Solution 5(i)
Note: Answer given in the book is incorrect.
Statistics Exercise Ex. 32.3
Solution 1
Solution 2(i)
Solution 2(ii)
Solution 2(iii)
Solution 3
Solution 4
Solution 5
Solution 7
Solution 8
Solution 6
Statistics Exercise Ex. 32.4
Solution 1(i)
Solution 1(ii)
Solution 1(iii)
Solution 1(iv)
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Solution 10
Solution 11
Statistics Exercise Ex. 32.5
Solution 1
Solution 2
Solution 3
Solution 4
Statistics Exercise Ex. 32.6
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 7
Solution 8
Solution 9
Solution 6
Note: Answer given in the book is incorrect.
Solution 10
Statistics Exercise Ex. 32.7
Solution 1
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.
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Solution 10
Solution 11
Solution 12
Statistics Exercise Ex. 32VSAQ
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
New SD is 
Solution 7
