a.
To find: Whether the average described is a mean or median.
The average described in the given statement is a mean.
Given information: The given statement is “The pitcher’s earned run average is
Calculation:
Middle value of a data ordering by the numbers is known as median.
Mean is the number obtained by dividing the sum of values by the number of values of a data.
In the given statement, the average of pitcher’s run is calculated numerically. It is not the middle number of the data. So, it is the mean.
Thus, the average described in the given statement is a mean.
b.
To find: Whether the average described is a mean or median.
The average described in the given statement is median.
Given information: The given statement is “The choir lined up with tall people in the back, short people in the front and people of average height in the middle.”
Calculation:
Middle value of a data ordering by the numbers is known as median.
Mean is the number obtained by dividing the sum of values by the number of values of a data.
In the given statement, the average height is in the middle of the line. The average is not calculated numerically, so it does not define mean. So, it is a median.
Thus, the average described in the given statement is median.
Chapter 10 Solutions
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