Q. 4

# The lengths (in cm) of 10 rods in a shop are given below :

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

**(i)** Find the mean deviation from the median

**(ii)** Find the mean deviation from the mean also.

Answer :

(i) **Given,** Numbers of observations are given .

**To Find:** Calculate the Mean Deviation from their Median.

**Formula Used:** Mean Deviation =

**Explanation:** Since, Median is the middle number of all the observation,

So, To Find the Median, Arrange the given length of shops in Ascending order, we get

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

Here the Number of observations are Even then Median =

Therefore, The Median = 46.15

Deviation |d| = |x-Median|

Now, The Mean Deviation is

Mean Deviation =

Mean Deviation From Median =

**Hence, The Mean Deviation is 16.74**

(ii) Here, Observations 15.2, 27.9, 30.2, 32.5, 40.0, 52.3, 52.8, 55.2, 72.9, 79.0

are Given.

Deviation |d| = |x-Mean|

Mean =

Mean of the Given Observations =

And, The number of observations is 10

Now, The Mean Deviation is

Mean Deviation =

Mean Deviation of the given Observations =

**Hence, The Mean Deviation is 16.64**

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