using data from the table below determine the interquartile range for our sample years of education 17 13 11 12 15

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 24HP
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using data from the table below determine the interquartile range for our sample years of education

17

13

11

12

15

Expert Solution
Step 1

The ascending order of the sample years of education is 11, 12, 13, 15, 17.

The position of first quartile value for odd sample size is,

Q1=25n+1100thData value=255+1100thData value=1.5thData value

The first quartile is,

Q1=1st Data value+0.52nd Data value-1st Data value=11+0.512-11=11+0.5=11.5

The first quartile is 11.5.

The position of third quartile value for odd sample size is,

Q3=75n+1100thData value=755+1100thData value=4.5thData value

The third quartile is,

Q3=4th Data value+0.55th Data value-4th Data value=15+0.517-15=15+1=16

The first quartile is 16.

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