Question

Find the mean median and interquartile for the data set below

17,23,8,5,9,16,22,11,13,15,17,18

Answer 1

mean: 14.5

median: 15.5

innerquartile: 17.5

Answer 2

mean = 14.5 ; median = 15.5 ; interquartile = 7.5

Explanation:

Given : 17,23,8,5,9,16,22,11,13,15,17,18.

To find : Find the mean median and interquartile for the data set .

Solution : We have given 17,23,8,5,9,16,22,11,13,15,17,18.

First we arrange in ascending order 5 , 8 ,9 ,11, 13, 15, 16 , 17, 17,18, 22, 23,

Mean :
`(Sum\ of\ all\ number)/(total\ number)`.

Mean :
`(5+8+9 +11 +13+ 15+16+17+17+18+ 22+23,)/(12)`.

Mean : 14.5

Median : Average of middle two numbers

Median :
`(15 + 16)/(2)`.

Median :
`(31)/(2)`.

Median : 15 .5

Interquartile : median of lower half - median of upper half.

Interquartile :
`(17 +18)/(2)` -
`(9 + 11)/(2)`.

Interquartile : 17.5 - 10= 7.5

Therefore, mean = 14.5 ; median = 15.5 ; interquartile = 7.5