The ages of 15 contestants of a TV reality show are given below: Find the Range, Median and
Mode of the given data.
19,20,20,25,21,19,23,21,24,19,20,22,25,20,23.

Asked by gghssanthosh2008 | 8th Mar, 2021, 10:19: AM

Expert Answer:

Arrange the values in ascending order i.e. 19, 19, 19, 20, 20, 20, 20, 21, 21, 22, 23, 23, 24, 25, 25
 
Range is difference of lowest and highest values.
Therefore, Range = 25 - 19 = 6
 
Median is the middle value.
If the number of observations n is odd, the median is [(n+1)/2]th value
If the number of observations n is even, the median mean of (n/2)th and [(n/2)+1]th value
As the number of terms is 15 which is odd, so the middle term is 8th 
Thus, the median would be 21
 
 
Mode is the number repeated most of the times.
Thus, the mode is 20.

Answered by Renu Varma | 9th Mar, 2021, 08:54: PM