Question

Make a box-and-whisker plot for the data. what is the median value? 56 32 48 52 51 53 48 38 35 42 40 46 54 50

Answer 1

32, 35, 38, 40, 42, 46, 48, 48, 50, 51, 52, 53, 54, 56

The median value is 48.

To find the median you put all the numbers in order. If there is an odd number of numbers it is the center number. If there are an even amount of numbers it is the mean I’d the two central numbers. In this case the two central numbers were the same. So the median is 48.

Answer 2

Median = 48.

Explanation:

Given : 56 32 48 52 51 53 48 38 35 42 40 46 54 50.

To find : what is the median value.

Solution : We have given 56 32 48 52 51 53 48 38 35 42 40 46 54 50.

Step (1) : Arrange in ascending order

32 , 35 , 38 ,40 , 42 , 46 , 48, 48 ,, 50 ,51, 52 ,53 ,54 , 56.

Total numbers = 14 ,

Formula of median for even numbers :
`((n+1)/(2))^(th) ,((n)/(2))^(th)  \\Mean\ of\ ((n+1)/(2))^(th) ,((n)/(2))^(th)\ term\ is\ the\ median`.

Here , n = 14

Step (2):
`((14)/(2))^(th) ,((14)/(2)+1)^(th)`

`(7^(th) ,(8)^(th)` terms are 48 , 48

Step (3) :Mean of
`(7^(th) ,(8)^(th)` =
`((48+48)/(2))` .

Median = 48.

Therefore, Median = 48.