# 3. The weights (in kg.) of 15 students of a class are:       38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47       (i) Find the mode and median of this data.      (ii) Is there more than one mode?

Given, weights of 15 students (in kg)= $38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47$

Arranging the data in ascending order = $32, 35, 36, 37, 38, 38, 38, 40, 42, 43, 43, 43, 45, 47, 50$

(i) Clearly, 38 and 43 both occur thrice. So, they both are the mode of the data.

Now, there are 15 values, so the median is the $\frac{15+1}{2} = 8^{th}\ term$

Hence, 40 is the median value.

(ii) Yes, there are two modes of the data given.

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