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 (interquart

Question

2 years ago

12

ile range) for these data? 4.75 9.00 15.50 17.75
PLEASE ANSWER ASAP!

2 answers:

ryzh [129] · Answer 1 · 2022-01-08T06:32:07+03:00

ryzh [129]2 years ago

8 0

The interquartile range is 4.75.

-Dominant- [34] · Answer 2 · 2022-01-08T09:02:02+03:00

Answer: Interquartile range is 4.75.

Step-by-step 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 : $\frac{12+14}{2}$ =13

Median of second quartile Q2 : $\frac{17.5+18}{2}$ =17.75.

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

Therefore, Interquartile range is 4.75.