a.
To find: Whether the average described is a mean or median.
The average described in the given statement is a median.
Given information: The given statement is “As the marathon runners crosses the finish line, the people in the middle of the pack finished in an average time of about
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 people that finished the race in average time were in the middle. This satisfies the definition of median. So, it is the median.
Thus, the average described in the given statement is a median.
b.
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 “Bob has a
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 grade points 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.
Chapter 10 Solutions
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