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miv72 [106K]
3 years ago
12

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

ile range) for these data? 4.75 9.00 15.50 17.75
PLEASE ANSWER ASAP!
Mathematics
2 answers:
ryzh [129]3 years ago
8 0
The interquartile range is 4.75.
-Dominant- [34]3 years ago
8 0

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.

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