Question 1

In a skating competition, the marks of judges are randomly selected to count. The highest and lowest marks are dropped, and the skater receives the mean of the remaining marks. These are some of the marks that 11 judges gave a skater for a free-skating program.The marks are the following: 6.75, 6.25, 6.50, 6.00, 5.75, 6.50, 7.25, 7.00, 6.75, 6.50, 6.25. Calculate the mean and median of the scores.

Accepted Answer

Mean: 6.50, Median: 6.50

Answer

Mean: 6.25, Median: 6.25

Answer

Mean: 5.75, Median: 6.25

Answer

Mean: 6.25, Median: 5.75

Answer

Mean: 7.25, Median: 7.00

Question 2

Which four marks should be removed that would LOWER the mean score the most?

Accepted Answer

7.25, 7.00, 6.75, 6.75

Answer

5.75, 6.00, 6.25, 6.25

Answer

7.00, 6.50, 5.75, 6.75

Answer

7.25, 7.00, 6.75, 6.50

Question 3

Calculate the new mean and median

Accepted Answer

Mean: 6.25, Median 6.25

Answer

Mean: 6.25, Median 7.25

Answer

Mean: 6.75, Median 6.75

Answer

Mean: 7.25, Median 6.25

Question 4

Which four marks should be removed that would RAISE the mean score the most?

Accepted Answer

5.75, 6.00, 6.25, 6.25

Answer

5.75, 6.25, 7.25, 6.75

Answer

7.25, 7.00, 6.25, 6.50

Answer

7.25, 7.00, 6.75, 6.75

Question 5

Calculate the new mean and median.

Accepted Answer

Mean: 6.75, Median 6.75

Answer

Mean: 5.75, Median 6.25

Answer

Mean: 5.75, Median 7.25

Answer

Mean: 6.25, Median 6.25

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