Ricardo found the mean and mode of the data set 34, 23, 17, 77, 23, 35, and 36. If he excluded the outlier, what would happen to the measures of central tendency?

A.) The mode would decrease and the mean would stay the same.

B.) The mean would increase and the mode would stay the same.

C.) The mode would increase and the mean would stay the same.

D.) The mean would decrease and the mode would stay the same.

Question

Mathematics

Martin Moran

2 April, 06:20

Ricardo found the mean and mode of the data set 34, 23, 17, 77, 23, 35, and 36. If he excluded the outlier, what would happen to the measures of central tendency?

A.) The mode would decrease and the mean would stay the same.

B.) The mean would increase and the mode would stay the same.

C.) The mode would increase and the mean would stay the same.

D.) The mean would decrease and the mode would stay the same.

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Answers (1)

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House · Answer 1

D.) The mean would decrease and the mode would stay the same.

the outlier 77 is much larger than the rest of the numbers. As a result, the mean would decrease because of the outlier if pulling the mean upwards because it is much higher. The mode stays the same because all numbers occur 1 time.