HISTOGRAMS
The following table displays the ages of presidents at their inauguration:
Barack Obama
47
** Increase the height of the appropriate category to include Barack Obama in the histogram**
Histogram of the Data
Relative Frequency
Histogram
Age at Inauguration
Data
Range
Frequency
Cumulative Frequency
Histogram
Age at Inauguration
Relative
Frequency
Cumulative
Frequency
Cumulative Relative Frequency
Histogram (OGIVE)
Age at Inauguration
Cumulative
Relative
Frequency
HISTOGRAMS
PERCENTILE: The pth percentile of a distribution is the value such that p percent of
the observations fall at or below it.
Example: If you scored in the 98th percentile in math on the SATs, then you did well.
98% of the other students scored at or below your score on the math section.
Consider the following cumulative relative frequency histogram (OGIVE):
(a) At what percentile would the shopper who spent $17.00 fall?
(b) Estimate the center of the distribution. Explain your method.
(c) Draw the relative frequency histogram that corresponds to the ogive. What
is the shape of this distribution?
HISTOGRAMS
Sometimes histograms show counts or percents at certain values instead of using
ranges of values.
HURRICANES: The histogram below shows the number of hurricanes reaching the east
coast of the United States each year over a 70-year period. Describe the distribution
using the histogram below.