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Answer :
We start with the given scores:
[tex]$$68,\;62,\;60,\;64,\;70,\;66,\;72.$$[/tex]
Step 1: Calculate the Mean
The mean is given by
[tex]$$\text{Mean} = \frac{\text{sum of the scores}}{\text{number of scores}}.$$[/tex]
First, we add the scores:
[tex]$$68 + 62 + 60 + 64 + 70 + 66 + 72 = 462.$$[/tex]
Since there are 7 scores, the mean is
[tex]$$\text{Mean} = \frac{462}{7} = 66.$$[/tex]
Step 2: Calculate the Median
To find the median, first sort the scores in ascending order:
[tex]$$60,\;62,\;64,\;66,\;68,\;70,\;72.$$[/tex]
Since there are 7 scores, the median is the fourth score in the sorted list. Thus,
[tex]$$\text{Median} = 66.$$[/tex]
Step 3: Calculate the Midrange
The midrange is the average of the minimum and maximum scores. The smallest score is 60, and the largest is 72. Hence,
[tex]$$\text{Midrange} = \frac{60 + 72}{2} = \frac{132}{2} = 66.$$[/tex]
Conclusion
The computed values are:
- Mean: 66
- Median: 66
- Midrange: 66
Thus, the correct option is:
[tex]$$\boxed{\text{D}}.$$[/tex]
[tex]$$68,\;62,\;60,\;64,\;70,\;66,\;72.$$[/tex]
Step 1: Calculate the Mean
The mean is given by
[tex]$$\text{Mean} = \frac{\text{sum of the scores}}{\text{number of scores}}.$$[/tex]
First, we add the scores:
[tex]$$68 + 62 + 60 + 64 + 70 + 66 + 72 = 462.$$[/tex]
Since there are 7 scores, the mean is
[tex]$$\text{Mean} = \frac{462}{7} = 66.$$[/tex]
Step 2: Calculate the Median
To find the median, first sort the scores in ascending order:
[tex]$$60,\;62,\;64,\;66,\;68,\;70,\;72.$$[/tex]
Since there are 7 scores, the median is the fourth score in the sorted list. Thus,
[tex]$$\text{Median} = 66.$$[/tex]
Step 3: Calculate the Midrange
The midrange is the average of the minimum and maximum scores. The smallest score is 60, and the largest is 72. Hence,
[tex]$$\text{Midrange} = \frac{60 + 72}{2} = \frac{132}{2} = 66.$$[/tex]
Conclusion
The computed values are:
- Mean: 66
- Median: 66
- Midrange: 66
Thus, the correct option is:
[tex]$$\boxed{\text{D}}.$$[/tex]
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