College

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

a. Mean [tex]$=64$[/tex], median [tex]$=64$[/tex], midrange [tex]$=64$[/tex]

b. Mean [tex]$=65$[/tex], median [tex]$=64$[/tex], midrange [tex]$=66$[/tex]

c. Mean [tex]$=66$[/tex], median [tex]$=77$[/tex], midrange [tex]$=65$[/tex]

d. Mean [tex]$=66$[/tex], median [tex]$=66$[/tex], midrange [tex]$=66$[/tex]

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

Answer :

To solve the problem and find the mean, median, and midrange of the given golf scores, let's break down each step of the calculation:

1. Mean:
The mean is calculated by summing up all the scores and dividing by the number of scores.

Scores: 68, 62, 60, 64, 70, 66, 72

Sum of scores = 68 + 62 + 60 + 64 + 70 + 66 + 72 = 462

Number of scores = 7

Mean = Total sum / Number of scores = 462 / 7 = 66

2. Median:
The median is the middle number once all the scores are arranged in ascending order.

Arranged scores: 60, 62, 64, 66, 68, 70, 72

Since there are 7 scores (an odd number), the median is the 4th score in this ordered list.

Median = 66

3. Midrange:
The midrange is found by taking the average of the minimum and maximum scores.

Minimum score = 60

Maximum score = 72

Midrange = (Minimum + Maximum) / 2 = (60 + 72) / 2 = 132 / 2 = 66

Putting it all together, the mean, median, and midrange of the scores are all 66.

Therefore, the answer is:
d. Mean = 66, median = 66, midrange = 66