The scores in mathematics test (out of 25) of students is as follows:
19,25,23,20,9,20,15,10,5,16,25,20,24,12,20.
Find the mode and median of this data. Are they same?

Given:

 The scores in mathematics test (out of 25) of students is as follows:

19,25,23,20,9,20,15,10,5,16,25,20,24,12,20

To do:

We have to find the mode and median of the given data.

Solution:

Arrange the data in ascending order,

5 , 9 , 10 , 12 , 15 , 16 , 19 , 20 , 20 , 20 , 20 , 23 , 24 , 25 , 25

Mode = Most frequent data

Mode = 20     (20 occurs 4 times in the given data)

Median = $\frac{(n+1)}{2}$th term if n is odd.

n = number of observations = 15

Median = $\frac{(15 + 1)}{2} = \frac{16}{2} = 8$th term

$8^{th}$ term is 20.

Therefore,

Median = 20

Mode and Median are the same value(20).

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Updated on: 10-Oct-2022

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