Elementary statistics, bluman

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Presentation transcript:

Elementary statistics, bluman Shapes of Distributions (Part 2 of 2)

Objectives for this PowerPoint Learn how to recognize the following common shapes of distributions of data. J-shaped Reverse J-shaped Bimodal-shaped U-shaped

Definition of U-shaped Distribution A U-shaped distribution has peaks on the extreme left and right, and low frequencies toward the center.

U-shaped Distribution This histogram shows the scores on the first attempt at a statistics test. Note that the frequencies for this distribution are very low in the center and increase to right and left, with peaks on either end. This is an example of a U- shaped distribution.

Definition of J-shaped Distribution A J-shaped distribution has a few data values on the left side and increases as one moves to the right.

J-shaped Distribution This histogram shows the scores on a second attempt of a statistics test. Note that the frequencies for this distribution are very low on the left and increase toward the right with a peak in the class on the far right. This is an example of a J- shaped distribution.

Definition Reverse J-shaped Distribution In this distribution, the frequencies are very low on the right and increase towards the left with a peak in the class on the far left.

Reverse J-shaped Distribution This histogram shows the number of guns per 100 people for 71 countries in the year 2016. This is an example of a Reverse-J shaped distribution.

Definition of Mode and Bimodal The highest peak of a distribution indicates where the mode of the data values is. The mode is the data value that occurs more often than any other data value. When a distribution has two peaks of the same height, it is said to be bimodal.

Bimodal Distribution This histogram shows the weights of 82 members of a high school marching band. This bimodal shape frequently occurs when two distinct groups are included in the same population. The two modes in this data set probably occur because men and women are both included. This distribution is bimodal.

Summary In this PowerPoint, we learned how to recognize the following common shapes of distributions of data. U-shaped J-shaped Reverse J-shaped Bimodal-shaped