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Home » Calculate the mean deviation from the mean for the following data : (i) 4, 7, 8, 9, 10, 12, 13, 17 (ii) 13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17
Calculate the mean deviation from the mean for the following data : (i) 4, 7, 8, 9, 10, 12, 13, 17 (ii) 13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17
CBSE | Class 11 | Exercise 32.1 | Maths | RD Sharma | Statistics
Calculate the mean deviation from the mean for the following data : (i) 4, 7, 8, 9, 10, 12, 13, 17 (ii) 13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17

Answers:

(i) 4, 7, 8, 9, 10, 12, 13, 17

 

|di| = |xi – x|

‘x’ be the mean of the given observation.

x = [4 + 7 + 8 + 9 + 10 + 12 + 13 + 17]/8

= 80/8

= 10

Number of observations, ‘n’ = 8

xi |di| = |xi – 10|
4 6
7 3
8 2
9 1
10 0
12 2
13 3
17 7
Total 24

 

= 1/8 × 24

= 3

∴ The Mean Deviation is 3.

(ii) 13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17

 

|di| = |xi – x|

‘x’ be the mean of the given observation.

x = [13 + 17 + 16 + 14 + 11 + 13 + 10 + 16 + 11 + 18 + 12 + 17]/12

= 168/12

= 14

Number of observations, ‘n’ = 12

xi |di| = |xi – 14|
13 1
17 3
16 2
14 0
11 3
13 1
10 4
16 2
11 3
18 4
12 2
17 3
Total 28

 

= 1/12 × 28

= 2.33

∴ The Mean Deviation is 2.33.

i

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