
a.
To calculate: The mean of the data represented by the stem-and-leaf plot.
a.

Answer to Problem 28E
The mean is 77.5142
Explanation of Solution
Given information:
Formula used:
Formula of Mean
ˉX=∑Xn where X represents each of the values in the data set.
Calculation:
According to the stem-and-leaf plot ,
{44,44,49,54,55,62,62,64,65,69,71,74,75,76,77,78,79,80,82,84,85,86,87,88,89,89,89,90,92,93,93,95,96,98,99}.
So, n=35 .
The mean of the data is
=Sum of all observation35=271335=77.5142
Hence, the mean is 77.5142
b.
To calculate: The median of the data.
b.

Answer to Problem 28E
The median is 80.
Explanation of Solution
Given information:
Formula used:
Median represents the middle value.
Median for even terms = (n2)thterm+(n2+1)thterm2
Median for odd terms = (n+12)thterm
Calculation:
According to the stem-and-leaf plot,
The total number in leaves are 35.
=(35+12)thterm=(18)thterm
This implies the median is the 18thleaf on the plot.
The median is 80.
Hence, the median is 80.
c.
To calculate: The mode of the data.
c.

Answer to Problem 28E
The mode is 89.
Explanation of Solution
Given information:
Formula used:
The mode of a set of data is the most frequent value. Some sets of the data have multiple modes and others have no mode.
Calculation:
According to the stem-and-leaf plot ,
It shows the modes by repeated digits for a particular stem.
There are three 9s with the stem 8.
The modes is 89.
Hence, the mode is 89.
Chapter 14 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Elementary Statistics: Picturing the World (7th Edition)
University Calculus: Early Transcendentals (4th Edition)
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Basic Business Statistics, Student Value Edition
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