College

Suppose the scores of seven members of a women's golf team are 68, 62, 60, 64, 70, 66, and 72. Find the mean, median, and midrange.

a. Mean = 64, median = 64, midrange = 64
b. Mean = 65, median = 64, midrange = 66
c. Mean = 66, median = 77, midrange = 65
d. Mean = 66, median = 66, midrange = 66

Please select the best answer from the choices provided:
A
B
C

Answer :

To solve the question of finding the mean, median, and midrange of the given golf scores, let's go through each concept step-by-step.

Scores: [tex]\(68, 62, 60, 64, 70, 66, 72\)[/tex]

1. Mean:
- To find the mean, you add up all the scores and then divide by the number of scores.
- [tex]\[
\text{Mean} = \frac{68 + 62 + 60 + 64 + 70 + 66 + 72}{7}
= \frac{462}{7}
= 66
\][/tex]

2. Median:
- The median is the middle score when all scores are arranged in order.
- First, sort the scores: [tex]\(60, 62, 64, 66, 68, 70, 72\)[/tex]
- With 7 numbers (an odd number), the median is the 4th number in the sorted list.
- [tex]\[
\text{Median} = 66
\][/tex]

3. Midrange:
- The midrange is the average of the highest and lowest scores.
- [tex]\[
\text{Midrange} = \frac{\text{maximum score} + \text{minimum score}}{2}
= \frac{72 + 60}{2}
= \frac{132}{2}
= 66
\][/tex]

Based on these calculations, the correct choice is:

d. Mean = 66, median = 66, midrange = 66

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