To discover the greatest spread because that the middle 50%, we require to uncover the Interquartile selection for all the data sets and also check i m sorry one is highest.

You are watching: Which data set has the greatest spread for the middle 50% of its data?

For very first set, Interquartile range (IQR) = 22 - 17 = 5.

For 2nd set, IQR = 22 - 17 = 5.

For third set, IQR = 20 - 13 = 7

and

for 4th set, IQR = 22 - 16 = 6.

Since IQR is highest for the third data, for this reason the correct choice is (c) 13, 17, 12, 21, 18, 20.

Hope it helps

Mark together brainliest

13, 17, 12, 21, 18, 20 has actually the best spread for the center 50% the its data.

Step-by-step explanation:

Given:

Set 1=18, 13, 22, 17, 21, 24

Set 2=17, 19, 22, 26, 17, 14

Set 3= 13, 17, 12, 21, 18, 20

Set 4= 18, 21, 16, 22, 24, 15

To discover :

Data set has the greatest spread for the middle 50% of its data=?

Solution:

Step 1: Re arranging the data to adjust in ascending order

Re-arranging data-set 1 we get,

13, 17, 18, 21, 22, 24

Re-arranging data-set 2 we get,

14, 17, 17, 19, 22 , 26

Re-arranging data-set 3 we get,

12, 13, 17, 18, 20, 21

Re-arranging data-set 4 we get,

15, 16,18, 21, 22, 24

Step 2: recognize the interquantile region:

Interquantile Range(IQR) = lower median-upper median

because that data-set 1

IQR=22-17=5

because that data-set 2

IQR=22-17=5

For data-set 3

IQR=20-13=7

For data-set 4

IQR=22-16=6

Hence the data set 3 = 13, 17, 12, 21, 18, 20 has greatest spread for the center 50% that its data.

The answer is (17, 19, 22, 26, 17, 14) which is b

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