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Mathematics
28.08.2021 10:07
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What is the interquartile range of this set of data?

What is the interquartile range of this set of data?
What is the interquartile range of this set of data?
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cobbiegirl8996
cobbiegirl8996
4,6(87 marks)

The interquartile range of this set of data is 19.

Step-by-step explanation:

The values in the given data set : 15, 19, 20, 25, 31, 38, 41

Total values : n= 7

First arrange them in ascending order, we get

15, 19, 20, 25, 31, 38, 41

Lower quartile = \dfrac{1}{4}(n+1)^{\text{th}}\text{value}

=\dfrac{1}{4}(7+1)^{\text{th}}\text{value}\\\\=2^{\text{nd}}\text{value}\\\\=19

Upper quartile = \dfrac{3}{4}(n+1)^{\text{th}}\text{value}

=\dfrac{3}{4}(7+1)^{\text{th}}\text{value}\\=3(2)^{\text{th}}\text{value}\\=6^{\text{th}}\text{value}\\=38

Interquartile range = Upper quartile -Lower quartile

= 38-19=19

Hence, the interquartile range of this set of data is 19.

lashondrascott
lashondrascott
4,7(17 marks)

the answer is 10 because if you subtract 12 from 10 you get 2

Step-by-step explanation:

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