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1.2 - Displaying quantitative data with graphsPowerPoint Presentation

1.2 - Displaying quantitative data with graphs

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1.2 - Displaying quantitative data with graphs

(Histograms)

Histograms

The most common graph of quantitative data.

(not the most convenient)

Classes: the intervals along the bottom axis.

These need to be of equal width

Frequency: the count of individuals of a class occurring

Relative frequency: the percent of the individuals in a class

(this is more useful, especially when you are comparing two sets of data with an unequal total of individuals)

- The following table represents the battings averages for the 25 Cincinnati Reds who have an at bat this time in the 2013 season.

- The following table represents the battings averages for the 29 Cincinnati Reds who have an at bat this time in the 2014 season.

Steps for constructing a histogram 29 Cincinnati Reds who have an at bat this time in the 2014 season.

1st - divide the range of data into class of equal width.

2nd - find the count and percent of individuals in each class.

3rd - label and scale your axes

4th - draw your histogram

1st step 29 Cincinnati Reds who have an at bat this time in the 2014 season.

What is the range of our data?

What would be a good class size to choose?

What are the classes?

2nd Step 29 Cincinnati Reds who have an at bat this time in the 2014 season.

Fill in a frequency table and a relative frequency table.

- 2013 29 Cincinnati Reds who have an at bat this time in the 2014 season.

- 2014

- Relative Frequency

- Relative Frequency

- Batting Average

- Batting Average

- Don’t forget your “SOCS!” 29 Cincinnati Reds who have an at bat this time in the 2014 season.

- The histogram shows that the batting ranged from __________

- The data appears to be _______ with a peak of _____ .

- The center of the data occurs around ______

- The _____ appear to be any outliers.

Now let’s COMPARE the batting averages from 2013 and 2014 29 Cincinnati Reds who have an at bat this time in the 2014 season.

- www.whfreeman.com/tps4e 29 Cincinnati Reds who have an at bat this time in the 2014 season.

- 2. Don’t use the counts or percents as the data. Use the data to find the counts and percents for your graph.

- 3. Use percents instead of counts when comparing distributions with different numbers of observations.

- 4. Just because a graph looks nice, doesn’t mean it’s necessarily a meaningful display of data.
- (Excel is a terrible tool to use for statistical graphs)

1. Don’t confuse histograms and bar graphs

Histograms are for quantitative data

Bar graphs are for categorical data

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