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Home » Find the mean deviation from the mean for the following data:
Find the mean deviation from the mean for the following data:
CBSE | Class 11 | Exercise 32.3 | Maths | RD Sharma | Statistics
Find the mean deviation from the mean for the following data:
Classes 95-105 105-115 115-125 125-135 135-145 145-155
Frequencies 9 13 16 26 30 12

 

Answer:

RD Sharma Solutions for Class 11 Maths Chapter 32 – Statistics - image 59

= 13630/106

= 128.58

Class Interval xi fi Cumulative Frequency |di| = |xi – M|

 

 fi |di|
95-105 100 9 900 28.58 257.22
105-115 110 13 1430 18.58 241.54
115-125 120 16 1920 8.58 137.28
125-135 130 26 3380 1.42 36.92
135-145 140 30 4200 11.42 342.6
145-155 150 12 1800 21.42 257.04
N = 106 Total = 13630 Total = 1272.6

N = 106

MD = \frac{1}{n}\sum_{i=1}^{n}|d_{i}|

= 1/106 × 1272.6

= 12.005

∴ The mean deviation is 12.005

i

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