Question

These data show the age in years of 9 members of the youth orchestra. 12 14 16 17.5 10 18 15 15.5 19 What is the IQR (interquartile range) for these data? 4.75 9.00 15.50 17.75

PLEASE ANSWER ASAP!

Answer 1

the interquartile range is 4.75.

Answer 2

Answer: Interquartile range is 4.75.

Explanation:

Given : Data set {48, 50, 65, 60, 80, 42, 45, 50, 42, 55, 45}.

To find : What is the interquartile range of the data set?

Solution : We have Data set {12 ,14, 16, 17.5 ,10 ,18, 15, 15.5 ,19 }.

Order the number:

10, 12, 14, 15, 15.5, 16, 17.5, 18, 19.

Median : (10, 12, 14, 15,) 15.5,( 16, 17.5, 18, 19).

15.5 is the median .

Median of first quartile Q1 :
`(12+14)/(2)` =13

Median of second quartile Q2 :
`(17.5+18)/(2)`=17.75.

Interquartile range = Q2-Q1 = 17.75 - 13 = 4.75.

Therefore, Interquartile range is 4.75.