Answered: Based on these data, is it better to…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 8PPS

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Question

The number of bagels sold daily for two bakeries is shown in the following table:

Bakery A	Bakery B
15	15
52	16
51	34
33	35
57	12
12	9
45	36
46	17

Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Why? Select the correct answer below.

Mean, because there are no outliers to affect the data

Mean, because the distribution is symmetric for both bakeries

Median, because there are outliers that affect both data sets

or Median, because the distribution for both bakeries is not symmetric

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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