Question

What percent of values is between the first and third quartiles?

The data set is 50, 75, 100, 125, 150, 175, 200, 225, 250

Answer 1

`55.555...\ (\%)`

Explanation:

What percent of values is between the first and third quartiles

`\text{Quartile 1} =(75+100)/(2) =87.5`

`\text{Quartile 2} =(200+225)/(2) =212.5`

50 < 75 < 87.5 < 100 < 125 < 150 < 175 < 200 < 212.5 < 225 < 250

Then we have 5 values between the first and third quartiles which are :

100, 125, 150, 175, 200

Therefore,

The percent of values between the first and third quartiles is :

`(5)/(9) * 100=55.555...`