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These data show the age in years of 9 members of the youth band.

12 14 16 16.5 11 18 18 14 20

What is the IQR (interquartile range) for these data?

5

9

16

18

Respuesta :

MissPhiladelphia
Based on the different options given, the closest answer to this inquiry is 5. Population size = 9Lower quartile = 13Upper quartile = 18Interquartile range = 5

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ashishdwivedilVT

The IQR (interquartile range) for the given data comes to be 5.

Let us arrange the data in ascending order:

11 12 14 14 16 16.5 18 18 20

What is the interquartile range?

The interquartile range is defined as the spread difference between the 75th(Q3) and 25th(Q1) percentiles of the data.

25th percentile or Q1 of given data = (12+14)/2 = 13 i.e median of first 4 data(from the left)

75th percentile or Q3 of given data = (18+18)/2 = 18 i.e. median of last 4 data(from the left).

As per definition, the difference between 75th(Q3) and 25th(Q1) percentiles of the data = 18-13 =5

So, The interquartile range of the given dataset = 5

Therefore, The IQR (interquartile range) for the given data comes to be 5.

To get more about the interquartile range visit:

https://brainly.com/question/4102829

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