Question

Select the correct answer

Which data set has the greatest spread for the middle 50% of its data
A
B
c
{18 13 22, 17, 21, 24
(17.19. 22.26 17.14)
13. 17. 12. 21, 18 20
f18 21.16 22 24 15)
B

Answer 1

Data set 3 has the highest IQR, so the correct option is {13,17,12,21, 18,20}

Explanation:

The question is:

Which data set has the greatest spread for the middle 50% of its data

We have given the data sets:

{18,13,22, 17, 21, 24}

{17,19,22,26,17,14}

{13,17,12,21, 18,20}

{18,21,16,22,24,15}

To find the greatest spread for the middle we need to find the IQR for all the data sets and check which one is highest.

So,

For the first set: 22-17 = 5

For the second: 22-17 = 5

For the third set = 20-13 = 7

For the fourth set = 22-16 = 6

Since data set 3 has the highest IQR, so the correct option is {13,17,12,21, 18,20} ....