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Review Homework × ReviewHomework-KaSTA261GrupDiscuxWoe ment/d/19h2h plmZAroGRa0Y

ID: 3045186 • Letter: R

Question

Review Homework × ReviewHomework-KaSTA261GrupDiscuxWoe ment/d/19h2h plmZAroGRa0YLcvRoymedAEpwZL2x81Ssi1nQE/edit# 1-3 Fall 2017 1. During the 2010 Professional Golfers Association (PGA) season, 90 gofers earned at least $1 millin in tournament prize money. Of those, 5 earned more than $4 million, 11 earned between $3 million and $4 million, 21 earned between $2 million and $3 million, and 53 earned between $1 million and $2 million. Would the data for all 90 golfers be symmetric, skewed to the left, or skewed to the right? Explain why you think this. a. b. Two measures of central tendency of the golfers winnings were $2,090,012 and $1,646,853. Which value is the mean and which is the median? Knowing the definition of mean and median, explain how you know.which one is the median and mean. 2. Germaine takes the ACT and scores 26 on the math portion of the test. ACT math scores have a mean of 20.4 and a standard deviation of 4.9. Bernie takes the SAT and scores 680 on the mathematics part of the SAT. The distribution of SAT math scores have a mean of 514 and a standard deviation of 118. to the mean for the test? How do you know? Show calculations that back up how you know. For the SAT test, give the interval for which about 95% of the scores on the math portion of the a. Assuming that both tests measure the same kind of ability, who has the better test score relative b.

Explanation / Answer

Answer to the question is as follows:

a. This is right skewed. The reason is the above, frequency dips when you go right

b. In a right skewed distribution mean is more than median because the tail of the skew has pretty big values, even outlier which will drag the mean value up, and the median is less than mean as a result.

Hence, $2,090,012 is mean and $1,646,853 is median

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