Concept explainers
(a)
Effect of discounton the shape of the resulting price distribution.
(a)

Answer to Problem 28E
Shape will remain unaffected.
Explanation of Solution
Given information:
Each car’s price is reduced by 10% instead of a $500.
Every car’s price gets reduced by 10%.
That means
New price becomes 90% (or 0.90) instead of previous price which was 100%.
Thus,
Every price needs to be multiplied by 0.90.
When every value in the data is multiplied by 0.90, then the shape of the distribution will not be affected because there will be no change in the relationships between every data pair.
Thus,
The distribution shape of the new price remains the same as that of the old price distribution shape.
(b)
Effect of discounton the
(b)

Answer to Problem 28E
Median is reduced by 10%.
Explanation of Solution
Given information:
Each car’s price is reduced by 10% instead of a $500.
Every car’s price gets reduced by 10%.
That means
New price becomes 90% (or 0.90) instead of previous price which was 100%.
Thus,
Every price needs to be multiplied by 0.90.
We know that
Median is a measure of the center.
When every value in the data is multiplied by 0.90, then the center of the distribution is also multiplied by 0.90.
Thus,
Median also gets multiplied by 0.90.
We can also say
The median is reduced by 10%.
(c)
Effect of discount on the
(c)

Answer to Problem 28E
Interquartile
Explanation of Solution
Given information:
Each car’s price is reduced by 10% instead of a $500.
Every car’s price gets reduced by 10%.
That means
New price becomes 90% (or 0.90) instead of previous price which was 100%.
Thus,
Every price needs to be multiplied by 0.90.
We know that
Interquartile range is a measure of the variability.
When every value in the data is multiplied by 0.90, then the variability of the distribution is also multiplied by 0.90.
Thus,
Interquartile range also gets multiplied by 0.90.
We can also say
Interquartile range equivalently decreased by 10%.
Chapter 2 Solutions
EBK PRACTICE OF STAT.F/AP EXAM,UPDATED
Additional Math Textbook Solutions
Precalculus
Elementary Statistics: Picturing the World (7th Edition)
Thinking Mathematically (6th Edition)
Introductory Statistics
College Algebra with Modeling & Visualization (5th Edition)
Calculus: Early Transcendentals (2nd Edition)
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