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1A.2 Dot Plots and Measures of DispersionPowerPoint Presentation

1A.2 Dot Plots and Measures of Dispersion

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1A.2 Dot Plots and Measures of Dispersion

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1A.2 Dot Plots andMeasures of Dispersion

Dot Plot

A graph that shows the frequency of values in a data set

Measure of Dispersion

A measure that describes the spread of a data set

1) Find the minimum and maximum value in your data set.

2) Draw a number line going from the minimum value to the maximum value.

3) Place a dot above the number on the number line for each number in your data set. If there is already a dot above the number, add an additional dot above the existing one.

When you are finished there should be a dot on the graph for each piece of data in the data set.

Find the mean, median, mode and range for the dot plot

Points in ten baseball games

Hall HS: 4, 4, 6, 6, 8, 3, 3, 2, 1, 1

Conard HS:2, 4, 8, 9, 5, 5, 1, 1, 2, 0

1.)

2.)

After the first week, the 25-year-old is voted off Show A and the 48-year-old is voted off Show B. How does this affect the mean and range of the remaining contestants on each show?

The standard deviation of a data set is a measure of how much a typical value in the data set differs from the mean.

standard

deviation

- where n is the number of values in the data set
- the symbol represents the mean. It is read as “x-bar”

Find the standard deviation of the ages for Show B in Example 1. Interpret your results.

You are the general manager of an NBA team. You are 35 games into the season and you are planning to sign a new player. You are choosing between player X and player Y. The points they have scored in every game so far are shown in the dot plots below. If you could sign player Y for 4 million dollars, how much more would you be willing to pay player X? Why? Justify your answer with calculations, using the ideas of center and spread.

Player X – Points per game

Player Y – Points per game