Answered: The freethrow percentages for the…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 1GP

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Question

The freethrow percentages for the regional basketball tournament participants were compiled. The percents ranged from 32% to 93% with a mean of 51% and a standard deviation of 7%. The quartiles and median percentages were 42%, 81%, and 51%. Is the distribution symmetric, skewed to the left, or skewed to the right? Choose the best answer below:

A. Skewed to the right, mean higher than median.

B. Symmetric, mean same as median.

C. Skewed to the left, mean higher than median.

D. Skewed to the left, mean lower than median.

E. Skewed to the right, mean lower than median.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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