Question

The scores in mathematics test (out of 25) of 15
students are as follows:
19, 25, 23, 20, 19, 15, 20, 18, 7, 9, 8, 15, 20, 25, 20,
Find the mode and median of the given data.
Are they same?
-7​

Answer 1

Answer:

Given the scores in mathematics test (out of 25) of 15 students is as follows

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

Mode means which observation is most frequently occurred 

Here observe that 20 is most frequently occurred so mode is 20. __(1)

first of all average the data in ascending order

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

Here observe that no of observations (n)=15

So median is 2N+1th term

median =215+1th term

=216th term =8th term

median =20 __(2)

from (1) & (2)

mode = median

(Both are same)