Question

Find the mean median and interquartile for the data set below

Answer 1

Answer:

mean = 14.5 ; median = 15.5 ; interquartile = 7.5

Step-by-step 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 : $\frac{Sum\ of\ all\ number}{total\ number}$.

Mean :  $\frac{5+8+9 +11 +13+ 15+16+17+17+18+ 22+23,}{12}$.

Mean : 14.5

Median : Average of middle two numbers

Median :  $\frac{15 + 16}{2}$.

Median :  $\frac{31}{2}$.

Median : 15 .5

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

Interquartile  : $\frac{17 +18}{2}$  - $\frac{9 + 11}{2}$.

Interquartile  :  17.5 - 10= 7.5

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

Answer 2

mean: 14.5

median: 15.5

innerquartile: 17.5