Here are some statistics for the annual Wildcat golf tournament: lowest score = 58,mean score = 95,median = 103,range = 92,IQR = 110,Q1 = 38,standard deviation = 15.Suppose it was very windy and all the golfers' scores went up by 7 strokes.Tell the new value for each of the summary statistics.
A)Lowest score: 65,mean: 102,median: 110,range: 92,IQR: 110,Q1: 45,SD: 15
B)Lowest score: 65,mean: 102,median: 110,range: 85,IQR: 110,Q1: 45,SD: 15
C)Lowest score: 65,mean: 102,median: 110,range: 85,IQR: 117,Q1: 45,SD: 15
D)Lowest score: 65,mean: 95,median: 103,range: 85,IQR: 110,Q1: 45,SD: 15
E)Lowest score: 65,mean: 102,median: 110,range: 85,IQR: 110,Q1: 45,SD: 22

Question

Quizplus · Accepted Answer

The lowest score went from 58 to 65 which is an increase of 7 strokes, and since we are only adding 7 strokes to every golfer's score, the range remains the same at 92. The median is not affected by adding a fixed amount to every score, so the median remains at 103. The mean score increased by 7 strokes, so the new mean is 95 + 7 = 102. The IQR is also not affected by adding a fixed amount to every score, so it remains at 110. The first quartile went from 38 to 45 (an increase of 7 strokes). Finally, the standard deviation is not affected by adding a fixed amount to every score, so it remains at 15.

Here Are Some Statistics for the Annual Wildcat Golf Tournament