Calculate the mean deviation of the following income groups of five and seven members from their medians:

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

Asked by Sakshi | 1 year ago |  32

##### Solution :-

Let us calculate the mean deviation for the first data set.

Since the data is arranged in ascending order,

4000, 4200, 4400, 4600, 4800

Median = 4400

Total observations = 5

We know that,

Where, |di| = |xi – M|

= $$\dfrac{1}{5}$$ × 1200

= 240

Let us calculate the mean deviation for the second data set.

Since the data is arranged in ascending order,

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

Median = 4400

Total observations = 7

We know that,

Where, |di| = |xi – M|

= $$\dfrac{1}{7}$$ × 3200

= 457.14

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

Answered by Aaryan | 1 year ago

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