Question

One golfer's scores for the season are 88, 90, 86, 89, 96, and 85. Another

Answer 1

Mean of the first golfer = 89

Mean of the second golfer = 87

Range of the first golfer = 11

Range of the second golfer = 8

Explanation:

First golfer scores 88, 90, 86, 89, 96 and 85.

Sum of the scores of first golfer = 88 + 90 + 86 + 89 + 96 + 85 = 534

Number of observation of first golfer = 6

$\text {Mean} = \frac{\text {Sum of the observation}}{\text {Number of observation}}$

Mean of the first golfer = $\frac{534}{6}=89$

Mean of the first golfer = 89

Range of the first golfer = Highest score – Lowest score

                                        = 96 – 85

Range of the first golfer = 11

Second golfer scores 91, 86, 88, 84, 90 and 83.

Sum of the scores of second golfer = 91 + 86 + 88 + 84 + 90 + 83 = 522

Number of observation of second golfer = 6

$\text {Mean} = \frac{\text {Sum of the observation}}{\text {Number of observation}}$

Mean of the second golfer = $\frac{522}{6}=87$

Mean of the second golfer = 87

Range of the second golfer = Highest score – Lowest score

                                              = 91 – 83

Range of the second golfer = 8

Comparing the golfer's skills:

Mean of first golfer is greater than Mean of second golfer.  (i.e. 89 > 87)

Range of first golfer is greater than Range of second golfer. (i.e. 11 > 8)

Thus, first golfer have more skills than second golfer.