Which of the following is always true? Choose the correct answer below. A. For skewed data, the mode is farther out in the longer tail than the median. B. In a symmetric and bell-shaped distribution, the mean, median, and mode are the same. C. Data skewed to the right have a longer left tail than right tail. D. The mean and median should be used to identify the shape of the distribution.

Which of the following is always true? Choose the correct answer below. A. For skewed data, the mode is farther out in the longer tail than the median. B. In a symmetric and bell-shaped distribution, the mean, median, and mode are the same. C. Data skewed to the right have a longer left tail than right tail. D. The mean and median should be used to identify the shape of the distribution.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

Which of the following is always true?

Choose the correct answer below.

For skewed data, the mode is farther out in the longer tail than the median.

In a symmetric and bell-shaped distribution, the mean, median, and mode are the same.

Data skewed to the right have a longer left tail than right tail.

The mean and median should be used to identify the shape of the distribution.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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