The lengths (in cm) of 10 rods in a shop are 40.0, 52.3, 55.2, 72.9, 52.8, 79.0, 32.5, 15.2, 27.9, 30.2 . Find the mean deviation from the median.

Asked by Sakshi | 1 year ago |  39

#### 1 Answer

##### Solution :-

Find the mean deviation from the median

Let us arrange the data in ascending order,

15.2, 27.9, 30.2, 32.5, 40.0, 52.3, 52.8, 55.2, 72.9, 79.0

We know that,

Where, |di| = |xi – M|

The number of observations are Even then Median

= $$\dfrac{ (40+52.3)}{2}$$ = 46.15

Median = 46.15

Number of observations, ‘n’ = 10

= $$\dfrac{1}{10}$$ × 167.4

= 16.74

The Mean Deviation is 16.74.

Answered by Aaryan | 1 year ago

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