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}}](https://tex.z-dn.net/?f=%5Ctext%20%7BMean%7D%20%3D%20%5Cfrac%7B%5Ctext%20%7BSum%20of%20the%20observation%7D%7D%7B%5Ctext%20%7BNumber%20of%20observation%7D%7D)
Mean of the first golfer = ![\frac{534}{6}=89](https://tex.z-dn.net/?f=%5Cfrac%7B534%7D%7B6%7D%3D89)
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}}](https://tex.z-dn.net/?f=%5Ctext%20%7BMean%7D%20%3D%20%5Cfrac%7B%5Ctext%20%7BSum%20of%20the%20observation%7D%7D%7B%5Ctext%20%7BNumber%20of%20observation%7D%7D)
Mean of the second golfer = ![\frac{522}{6}=87](https://tex.z-dn.net/?f=%5Cfrac%7B522%7D%7B6%7D%3D87)
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.