®
Because learning changes everything.
Measures of Position
Section 3.3
Copyright 2022 © McGraw Hill LLC. All rights reserved. No reproduction or distribution without the prior written consent of McGraw Hill LLC.
, Objectives
1. Compute the interpret z-scores
2. Compute the quartiles of a data set
3. Compute the percentiles of a data set
4. Compute the five-number summary for a data set
5. Understand the effects of outliers
6. Construct boxplots to visualize the five-number
summary and outliers
© McGraw Hill LLC 2
, Compute and interpret z-scores
Objective 1
© McGraw Hill LLC
, Z-Score 1
Who is taller, a man 73 inches tall or a woman 68 inches
tall? The obvious answer is that the man is taller.
However, men are taller than women on the average.
Suppose the question is asked this way: Who is taller
relative to their gender, a man 73 inches tall or a woman
68 inches tall?
One way to answer this question is with a z-score.
© McGraw Hill LLC 4
Because learning changes everything.
Measures of Position
Section 3.3
Copyright 2022 © McGraw Hill LLC. All rights reserved. No reproduction or distribution without the prior written consent of McGraw Hill LLC.
, Objectives
1. Compute the interpret z-scores
2. Compute the quartiles of a data set
3. Compute the percentiles of a data set
4. Compute the five-number summary for a data set
5. Understand the effects of outliers
6. Construct boxplots to visualize the five-number
summary and outliers
© McGraw Hill LLC 2
, Compute and interpret z-scores
Objective 1
© McGraw Hill LLC
, Z-Score 1
Who is taller, a man 73 inches tall or a woman 68 inches
tall? The obvious answer is that the man is taller.
However, men are taller than women on the average.
Suppose the question is asked this way: Who is taller
relative to their gender, a man 73 inches tall or a woman
68 inches tall?
One way to answer this question is with a z-score.
© McGraw Hill LLC 4
