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
D

Answer :

To find the mean, median, and midrange of the scores of the golf team members, let's follow these steps:

1. Mean: The mean, or average, is found by adding all the scores together and then dividing by the number of scores.

Given the scores: 68, 62, 60, 64, 70, 66, and 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 scores are arranged in order. First, sort the scores:

60, 62, 64, 66, 68, 70, 72.

Since there are seven scores, the middle one is the fourth score in the sorted list.

[tex]\[
\text{Median} = 66
\][/tex]

3. Midrange: The midrange is the average of the lowest and highest scores.

The lowest score is 60 and the highest score is 72.

[tex]\[
\text{Midrange} = \frac{60 + 72}{2} = \frac{132}{2} = 66
\][/tex]

Based on these calculations, the correct answer is:
d. Mean = 66, median = 66, midrange = 66.