Students sort data and display it graphically using various plots. They also get familiarized with statistical concepts like measures of spread and central tendency.

Before the Activity

See the attached PDF file for detailed instructions for this activity

Print pages 11 - 22 from the attached PDF file for your class

During the Activity

Distribute the pages to the class.

Follow the Activity procedures:

Enter the data of building heights as lists

Plot the frequency data as a histogram

Create a frequency table

Observe the effects of changing the class width on the histogram

Using the lower and upper class limits in the frequency table and calculate the class marks

Use the frequency table to calculate the relative frequencies and find the percent of buildings in a class

Plot the relative frequency data as a histogram

Make a copy of the list containing the data for the heights of buildings

Sort the data in ascending order

Create a Stem-and-Leaf Plot

Generate a Dot Plot

Use the listed data or the frequency table to calculate the common measures of central tendency (mean and median) and the measures of spread or variability (standard deviation, variance, interquartile range, and five-number summary)

Use the mean and the standard deviation to determine the standard scores of the smallest and tallest buildings

Observe how many standard deviations away these values are from the mean

Decide whether the data distribution is symmetric or skewed

Find percentiles and quartiles

Create a frequency table and calculate the cumulative relative frequencies

Set up an xy line plot to find the percentile value for a building of given height

Use the data to set up a modified box plot

Calculate a five-number summary

Draw a box plot and view it along with a histogram

Generate multiple box plots, side by side

After the Activity

Review student results:

As a class, discuss questions that appeared to be more challenging