e scores in a large data set are about close together except for a few scores that are quite a bit higher, how would the mean and median of the data set compare and what shape would a histogram of the data set have? The mean would be smaller than the median and the histogram would be skewed with a long tail towards higher scores. The mean would be larger than the median and the histogram would be skewed with a long tail towards lower scores. The mean would be smaller than the median and the histogram would be skewed with a long tail towards lower scores. The mean would be larger than the median and the histogram would be skewed with a long tail towards higher scores. The mean would be equal to the median and the histogram would be symmetrical.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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If most of the scores in a large data set are about close together except for a few scores that are quite a bit higher, how would the mean and median of the data set compare and what shape would a histogram of the data set have?
  • The mean would be smaller than the median and the histogram would be skewed with a long tail towards higher scores.
  • The mean would be larger than the median and the histogram would be skewed with a long tail towards lower scores.
  • The mean would be smaller than the median and the histogram would be skewed with a long tail towards lower scores.
  • The mean would be larger than the median and the histogram would be skewed with a long tail towards higher scores.
  • The mean would be equal to the median and the histogram would be symmetrical.
  • None of the answers listed.
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