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45 votes
45 votes
how does the interquartile range change when Pat's minutes and keenan's minutes are removed from the data

User Abdul Ahad
by
2.3k points

1 Answer

23 votes
23 votes

For the given data, we will calculate the interquartile before and after Pat's minutes and keenan's minutes are removed from the data

So, the given data in order from least to the greatest will be:

6 , 12 , 16 , 16 , 18 , 20 , 22 , 24

we will divide the data into 2 sections

( 6 , 12 , 16 , 16 ) , ( 18 , 20 , 22 , 24 )

The median of the first section = Q1 = (12 + 16)/2 = 14

The median of the second section = Q3 = ( 20 + 22 )/2 = 21

So, interquartile range = Q3 - Q1 = 21 - 14 = 7

Now, we will calculate the interquartile range when Pat's minutes and keenan's minutes are removed from the data ​

So, the data will be:

12 , 16 , 16 , 18 , 20 , 22

Divide the data into 2 sections:

( 12 , 16 , 16 ) , ( 18 , 20 , 22 )

The median of the first section will be = Q1 = 16

The median of the second section = Q3 = 20

So, interquartile range = Q3 - Q1 = 20 - 16 = 4

Now, we will compare the results:

the interquartile range before removing = 7

the interquartile range after removing = 4

So, 7 - 4 = 3

This means: the interquartile range is decreased by 3

So, the answer is option b

User Gerriet
by
3.0k points