Scores turned in by an amateur golfer at the Bonita Fairways Golf Course in Boni

Question

Scores turned in by an amateur golfer at the Bonita Fairways Golf Course in Bonita Springs, Florida, during 2011 and 2012 are as follows:

What is the primary difference in performance between 2011 and 2012?
- Select your answer -The mean score was higher in 2011The mean score was higher in 2012The variation in scores was higher in 2011The variation in scores was higher in 2012Item 5

What improvement, if any, can be seen in the 2012 scores?
- Select your answer -The golfer's consistency increased in 2012In 2012, three of the eight scores were better (lower) than the best score of 2011There is no improvement to be seen in the 2012 scoresItem 6

Scores turned in by an amateur golfer at the Bonita Fairways Golf Course in Bonita Springs, Florida, during 2011 and 2012 are as follows:

2011 Season 76 80 81 79 77 75 77 79 2012 Season 73 72 77 79 87 82 73 81 Calculate the mean (to the nearest whole number) and the standard deviation (to 2 decimals) of the golfer's scores, for both years.
2011 Mean Standard deviation 2012 Mean Standard deviation

What is the primary difference in performance between 2011 and 2012?
- Select your answer -The mean score was higher in 2011The mean score was higher in 2012The variation in scores was higher in 2011The variation in scores was higher in 2012Item 5

What improvement, if any, can be seen in the 2012 scores?
- Select your answer -The golfer's consistency increased in 2012In 2012, three of the eight scores were better (lower) than the best score of 2011There is no improvement to be seen in the 2012 scoresItem 6

Explanation / Answer

Solution:

For 2011:

There are total 8 numbers. Therefore

Mean : Mean = Sum of X values / N(Number of Values) = 78

Standard Deviation (s) = 2.07

Variance = s2 = (2.07)2 = 4.28

For 2012:

There are total 8 numbers. Therefore

Mean : Mean = Sum of X values / N(Number of Values) = 78

Standard Deviation (s) = 5.26

Variance = s2 = (5.26)2 = 27.66

Hence, from the above data , we see that the variation in scores was higher in 2012.

There is no improvement to be seen in the 2012 scores as the mean score of 2011 and 2012 are same.

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