Relative Cumulative Frequency Graphs AP Statistics How to

How to construct an ogive (relative Cumulative Frequency Graph) • • • Step 1:

Lets refer back to example 1. 6 done yesterday in class. • How can

Construct your Table by ANALYZING your Histogram • • Class 40 -44 45 -49

The following is a relative cumulative frequency plot of the US presidents’ ages at

In the following (a) shows how we locate Bill Clinton’s age in the distribution

QUIZ REVIEW • Know how to construct Bar Graphs, Dot Plots, Stem Plots, Pie

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Relative Cumulative Frequency Graphs AP Statistics

How to construct an ogive (relative Cumulative Frequency Graph) • • • Step 1: Decide on class intervals and make a frequency table just as in making a histogram. Add three columns to your frequency table: relative frequency, cumulative frequency, and relative cumulative frequency -To get the values in the relative frequency column, divide the count in each class interval by the total number of the frequency. Multiply by 100 to convert to a percentage. -To fill the cumulative frequency column, add the counts in the frequency column that fall in or below the current class interval. For the relative cumulative frequency column, divide the entries in the cumulative frequency column by the total number of individuals. Step 2: Label and scale your axes and title your graph. Label the horizontal axis “Age at Inauguration” and the vertical axis according to your choice of class intervals and the vertical axis from 0% to 100% Step 3: Plot a point corresponding to the relative cumulative frequency in each class interval at the left endpoint of the next class interval the last point you plot should be at a height of 100%

Lets refer back to example 1. 6 done yesterday in class. • How can you do this quickly? Make a histogram on your calculator. We will use yesterday’s histogram.

Construct your Table by ANALYZING your Histogram • • Class 40 -44 45 -49 50 -54 55 -59 60 -64 65 -69 Frequency 2 6 13 12 7 3 Relative Frequency Cumulative Frequency 2/43= 0. 047 or 4. 7% 2 6/43= 0. 140 or 14% 8 13/43= 0. 302 or 30. 2% 21 12/43 = 0. 279 or 27. 9% 33 7/43= 0. 163 or 16. 3% 40 3/43= 0. 070 or 7% 43 Relative Cumulative Frequency 2/43= 0. 047 or 4. 7% 8/43= 0. 186 or 18. 6% 21/43= 0. 488 or 48. 8% 33/43= 0. 767 or 76. 7% 40/43= 0. 930 or 93% 43/43= 1. 000 or 100%

The following is a relative cumulative frequency plot of the US presidents’ ages at inauguration • • Class 40 -44 45 -49 50 -54 55 -59 60 -64 65 -69 Frequency 2 6 13 12 7 3 Relative Frequency Cumulative Frequency 2/43= 0. 047 or 4. 7% 2 6/43= 0. 140 or 14% 8 13/43= 0. 302 or 30. 2% 21 12/43 = 0. 279 or 27. 9% 33 7/43= 0. 163 or 16. 3% 40 3/43= 0. 070 or 7% 43 Relative Cumulative Frequency 2/43= 0. 047 or 4. 7% 8/43= 0. 186 or 18. 6% 21/43= 0. 488 or 48. 8% 33/43= 0. 767 or 76. 7% 40/43= 0. 930 or 93% 43/43= 1. 000 or 100%

In the following (a) shows how we locate Bill Clinton’s age in the distribution and (b) shows how to determine the 60 th percentile and the center of the distribution.

QUIZ REVIEW • Know how to construct Bar Graphs, Dot Plots, Stem Plots, Pie Charts, histograms • Know how to read ogives (relative cumulative frequency graphs). • Know the difference between a categorical variable and a quantitative variable • Be able to describe a distribution (remember this means to give the shape, center AND spread)