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:

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

To do:

We have to find:

(i) The mode and median of this data.

(ii) If there is more than one mode.

Solution:

Total number of students $=15$

Weights of $15$ students$=$38, 42, 35, 37, 45, 50, 32, 43,43, 40, 36, 38, 43, 38, 47

Arranging in ascending order, we get,

32, 35, 36, 37, 38, 38, 38, 40, 42, 43, 43, 43, 45, 47, 50

(i) Mode is the observation that occurs the highest number of times in a data.

Thus, 38 and 43 occur the highest number of times

$\therefore$ Mode$=38$ and $43$

We know that the median is the middle observation of a given data.

Also, out of the 15 observations given, the 8th observation is the mid data.

Hence, median$=40$        [8th observation]

(ii) Yes, there are two modes $38$ and $43$.

Updated on: 10-Oct-2022

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