Answer :
We are given the scores:
[tex]$$68, 62, 60, 64, 70, 66, \text{ and } 72.$$[/tex]
Step 1: Calculate the Mean
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: Find the Median
To find the median, we first arrange the scores in ascending order:
[tex]$$60, 62, 64, 66, 68, 70, 72.$$[/tex]
With 7 numbers (an odd count), the median is the middle number. The middle (4th) score is:
[tex]$$\text{Median} = 66.$$[/tex]
Step 3: Determine the Midrange
The midrange is calculated as the average of the smallest and largest scores. The smallest score is 60 and the largest is 72:
[tex]$$\text{Midrange} = \frac{60 + 72}{2} = \frac{132}{2} = 66.$$[/tex]
Thus, the calculated values are:
[tex]$$\text{Mean} = 66,\quad \text{Median} = 66,\quad \text{Midrange} = 66.$$[/tex]
The correct answer is: option (d) Mean = 66, median = 66, midrange = 66.
[tex]$$68, 62, 60, 64, 70, 66, \text{ and } 72.$$[/tex]
Step 1: Calculate the Mean
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: Find the Median
To find the median, we first arrange the scores in ascending order:
[tex]$$60, 62, 64, 66, 68, 70, 72.$$[/tex]
With 7 numbers (an odd count), the median is the middle number. The middle (4th) score is:
[tex]$$\text{Median} = 66.$$[/tex]
Step 3: Determine the Midrange
The midrange is calculated as the average of the smallest and largest scores. The smallest score is 60 and the largest is 72:
[tex]$$\text{Midrange} = \frac{60 + 72}{2} = \frac{132}{2} = 66.$$[/tex]
Thus, the calculated values are:
[tex]$$\text{Mean} = 66,\quad \text{Median} = 66,\quad \text{Midrange} = 66.$$[/tex]
The correct answer is: option (d) Mean = 66, median = 66, midrange = 66.
