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Learning Math Home
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Session 3 Part A Part B Part C Part D Homework
 
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Session 3:
Homework

This series of problems leads you through the creation of a histogram and its corresponding tables for the data in Parts B and C, which you will now group by fives. Start with the stem and leaf plot for the grouping-by-fives scenario:

Stem and Leaf plot for grouping by fives

Problem H1

Solution  

Create a grouped frequency table for this data set where the intervals have a width of five seconds.


Stop!  Do the above problem before you proceed.  Use the tip text to help you solve the problem if you get stuck.
The first interval will be 30 to < 35, the next will be 35 to < 40, etc. The last interval will be 90 to < 95.   Close Tip

 

Problem H2

Solution  

Create a histogram for this data set where the intervals have a width of five seconds.


Stop!  Do the above problem before you proceed.  Use the tip text to help you solve the problem if you get stuck.
If you have difficulty, refer to the guide in Part B.   Close Tip

 

Problem H3

Solution  

Using either the histogram or the grouped frequency table, create a relative frequency table and relative frequency histogram for this data set.


Stop!  Do the above problem before you proceed.  Use the tip text to help you solve the problem if you get stuck.
Refer to the guide in Part C if you have trouble here.   Close Tip

 

Problem H4

Solution  

Use the information from Problems H1-H3 to create a cumulative frequency and relative cumulative frequency chart for this data set.


 

Problem H5

Solution  

Using only the histogram and grouped relative frequency table based on an interval width of five, give two descriptive statements that provide an answer to the question "How well do people judge when a minute has elapsed?"


 

Problem H6

Solution  

Based on the information in these problems, is it now possible to go back and answer any of the questions in Problem C1 that previously could not be answered with a histogram? Can you give more accurate answers for some of the questions in Problem C1? Are there some questions that still cannot be answered with a histogram?


Suggested Readings:

Kader, Gary and Perry, Mike (September-October, 1994). Learning Statistics with Technology. Mathematics Teaching in the Middle School, 1 (2), 130-136.
Reproduced with permission from Mathematics Teaching in the Middle School. Copyright © 1994 by the National Council of Teachers of Mathematics. All rights reserved.

Download PDF File:
Learning Statistics with Technology
Continued
Continued

Pereira-Mendoza, Lionel and Dunkels, Andrejs (Summer, 1989). Stem-and-Leaf Plots in the Primary Grades. Teaching Statistics, 11 (2), 34-37.
This article first appeared in Teaching Statistics <http://science.ntu.ac.uk/rsscse/ts/> and is used with permission.

Download PDF File:
Stem-and-Leaf Plots in the Primary Grades
Continued


Next > Session 4: The Five-Number Summary

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