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Answer :
To solve the problem of finding the mean, median, and midrange of the given scores, let's go through each calculation step by step:
1. Mean: The mean is the average of the numbers. You calculate it by adding all the scores together and then dividing by the number of scores.
Scores: 68, 62, 60, 64, 70, 66, 72
[tex]\[
\text{Mean} = \frac{68 + 62 + 60 + 64 + 70 + 66 + 72}{7} = \frac{462}{7} = 66
\][/tex]
2. Median: The median is the middle value when the numbers are arranged in order. To find the median from our list of scores, first, we need to sort them:
Sorted scores: 60, 62, 64, 66, 68, 70, 72
Since we have an odd number of scores (7), the median will be the fourth score:
[tex]\[
\text{Median} = 66
\][/tex]
3. Midrange: The midrange is the average of the highest and lowest numbers in the set.
Lowest score = 60, Highest score = 72
[tex]\[
\text{Midrange} = \frac{60 + 72}{2} = \frac{132}{2} = 66
\][/tex]
Based on these calculations, the correct answer is:
b. Mean [tex]\(= 66\)[/tex], median [tex]\(= 66\)[/tex], midrange [tex]\(= 66\)[/tex]
However, let's go back to the original options provided. According to the choices:
- The exact correct match for our findings is missing. It seems like the correct match based on actual calculations should have been:
- Mean [tex]\(= 66\)[/tex], median [tex]\(= 66\)[/tex], midrange [tex]\(= 66\)[/tex]
Given these details, it looks like there is no precisely matching option, but based on the numerical findings, you might want to verify the options or possibly there is a typo in listing them.
1. Mean: The mean is the average of the numbers. You calculate it by adding all the scores together and then dividing by the number of scores.
Scores: 68, 62, 60, 64, 70, 66, 72
[tex]\[
\text{Mean} = \frac{68 + 62 + 60 + 64 + 70 + 66 + 72}{7} = \frac{462}{7} = 66
\][/tex]
2. Median: The median is the middle value when the numbers are arranged in order. To find the median from our list of scores, first, we need to sort them:
Sorted scores: 60, 62, 64, 66, 68, 70, 72
Since we have an odd number of scores (7), the median will be the fourth score:
[tex]\[
\text{Median} = 66
\][/tex]
3. Midrange: The midrange is the average of the highest and lowest numbers in the set.
Lowest score = 60, Highest score = 72
[tex]\[
\text{Midrange} = \frac{60 + 72}{2} = \frac{132}{2} = 66
\][/tex]
Based on these calculations, the correct answer is:
b. Mean [tex]\(= 66\)[/tex], median [tex]\(= 66\)[/tex], midrange [tex]\(= 66\)[/tex]
However, let's go back to the original options provided. According to the choices:
- The exact correct match for our findings is missing. It seems like the correct match based on actual calculations should have been:
- Mean [tex]\(= 66\)[/tex], median [tex]\(= 66\)[/tex], midrange [tex]\(= 66\)[/tex]
Given these details, it looks like there is no precisely matching option, but based on the numerical findings, you might want to verify the options or possibly there is a typo in listing them.
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