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Home » Calculate the mean deviation of the following income groups of five and seven members from their medians:
Calculate the mean deviation of the following income groups of five and seven members from their medians:
CBSE | Class 11 | Exercise 32.1 | Maths | RD Sharma | Statistics
Calculate the mean deviation of the following income groups of five and seven members from their medians:
I

Income in ₹

 II

Income in ₹
4000 3800
4200 4000
4400 4200
4600 4400
4800 4600
4800
5800

 

Answer:

Data is arranged in ascending order,

4000, 4200, 4400, 4600, 4800

Median = 4400

Total observations = 5

 

Where, |di| = |xi – M|

xi |di| = |xi – 4400|
4000 400
4200 200
4400 0
4600 200
4800 400
Total 1200

 

= 1/5 × 1200

= 240

Data is arranged in ascending order,

3800, 4000, 4200, 4400, 4600, 4800, 5800

Median = 4400

Total observations = 7

 

Where, |di| = |xi – M|

xi |di| = |xi – 4400|
3800 600
4000 400
4200 200
4400 0
4600 200
4800 400
5800 1400
Total 3200

 

= 1/7 × 3200

= 457.14

∴ The Mean Deviation of set 1 is 240 and set 2 is 457.14

i

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