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



Answer from: angelaguero9877

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.



Answer from: blondie02
The answer is (17, 19, 22, 26, 17, 14) which is b
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