Christian and Brandon have been practicing in hopes of getting their scores up high enough to gain a spot on the U. S. National Tiddlywinks Team. Christian's mean score is an 87 with a standard deviation of 2, while Brandon's mean score is 88 with a standard deviation of 10. Which of these boys should the coach of the team choose?

A) The coach should choose Christian, because Christian's average is higher.

B) The coach should choose Christian, because Christian is more consistent.

C) The coach should choose Brandon, because Brandon's average is lower.

D) The coach should choose Brandon, because Brandon is more consistent.

Question

Mathematics

Guest

29 March, 21:28

Christian and Brandon have been practicing in hopes of getting their scores up high enough to gain a spot on the U. S. National Tiddlywinks Team. Christian's mean score is an 87 with a standard deviation of 2, while Brandon's mean score is 88 with a standard deviation of 10. Which of these boys should the coach of the team choose?

A) The coach should choose Christian, because Christian's average is higher.

B) The coach should choose Christian, because Christian is more consistent.

C) The coach should choose Brandon, because Brandon's average is lower.

D) The coach should choose Brandon, because Brandon is more consistent.

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Answers (1)

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Lorena Lin · Answer 1

Step-by-step explanation:

Standard deviation is a measure of variability in a given set of data. It tells how far each value in the data is from the mean. A high standard deviation suggests that the values spread farther from the mean while a low standard deviation suggests that the values are very close to the mean.

Since Christian has a lower standard deviation, the variability of his scores is lower. Hence, the correct option is

B) The coach should choose Christian, because Christian is more consistent.