Concept explainers
a.
To find : The mean of the positions.
a.
Answer to Problem 28E
The mean of the positions is
Explanation of Solution
Given information :
The positions of the five free dives from the graph are
Calculation :
The mean of the position is the sum of the values of position divided by the number of values. Therefore,
Thus, the mean of the position is
b.
To find : The median of the positions.
b.
Answer to Problem 28E
The median of the positions is
Explanation of Solution
Given information :
The positions of the five free dives from the graph are
Calculation :
The median of the position is the middle value of positions when the positions are written in numerical order.
First, arrange the position in order from least to greatest. Therefore,
Since, the number of position is five (i. e. odd), so the median is middle most value (i.e. third value).
Therefore,
Thus, the median of the position is
c.
To compare : Does the mean or the median represent a lower position?
c.
Answer to Problem 28E
The median represents the lower position.
Explanation of Solution
From part (a) and (b) it can be observed that median is smaller than mean. Therefore, median represents the lower position.
Thus, the median represents the lower position.
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