Question

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

Answer 1

Answer: (d) mean = 66, median = 66, midrange = 66

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Find Mean
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To find the mean, we add up all the scores and divide the total by the number of scores.


`\text {mean = } \frac{\text {total of all the scores}}{\text {number of scores}}`


`\text {mean = } (68 + 62 + 60 + 64 + 70 + 66 + 72 )/(7)`


`\text {mean = } (462)/(7)`


`\text {mean = } 66`

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Find Median
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To find the median, we arrange the number in ascending order and look for the middle number.

Ascending order : 60, 62, 64, 66, 68, 70, 72
66 is in the middle, so 66 is the median

Median = 66

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Find Midrange
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To find midrange, we find the average of the min and max value.


`\text {midrange = } (60 + 72)/(2)`


`\text {midrange = } (132)/(2)`


`\text {midrange = } 66`

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Answer mean = 66, median = 66, midrange = 66
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Answer 2

median = 66, mean = 66 and midrange = 66