Refer to the data set below (body mass index of men) and determine whether the requirement of a normal distribution is satisfied. Assume that this requirement is loose in the sense that the population distribution need not be exactly normal, but it must be a distribution that is basically symmetric with only one mode. 23.4 27.8 25.5 26.5 20.6 26.4 24.2 28.3 26.1 19.7 27.4 32.2 26.8 33.2 23.8 21.6 30.3 23.0 24.7 25.0 Is the requirement of a normal distribution satisfied? The points in the normal quantile plot lie reasonably close to a straight line.The points in the normal quantile plot do not lie close to a straight line.The points in the normal quantile plot exhibit some systematic pattern that is not a straight-line pattern.The histogram of the data is not bell shaped. There is also more than one outlier.

The data set is given as: Data set 23.4 27.8 25.5 26.5 20.6 26.4 24.2 28.3…

Answered: Refer to the data set below (body mass…

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

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ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

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Refer to the data set below (body mass index of men) and determine whether the requirement of a normal distribution is satisfied. Assume that this requirement is loose in the sense that the population distribution need not be exactly normal, but it must be a distribution that is basically symmetric with only one mode.

23.4 27.8 25.5 26.5 20.6 26.4 24.2 28.3 26.1 19.7

27.4 32.2 26.8 33.2 23.8 21.6 30.3 23.0 24.7 25.0

Is the requirement of a normal distribution satisfied?

The points in the normal quantile plot lie reasonably close to a straight line.
The points in the normal quantile plot do not lie close to a straight line.
The points in the normal quantile plot exhibit some systematic pattern that is not a straight-line pattern.
The histogram of the data is not bell shaped. There is also more than one outlier.

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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