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Additional resources for Dealing with Data MIC 2006 G 7
Write a question that can be answered easily with the box plot. Section E: Box Plots and the Median 39 E Box Plots and the Median A box plot can often help you answer some questions about data, but sometimes a box plot is not the best choice. Suppose someone is interested in answering the following questions. i. How fast does a human run (45 kph) compared to animals? ii. What speed is most common for the animals listed on page 37? iii. What clusters of data can be found? What does this tell you about the animals in each cluster?
What would the length of a “typical” long jump of the girls in Mrs. Peterson’s class be? Explain how you found your answer. 4. Use the information of the stem-and-leaf plot to make a histogram of the girls’ jumps. 5. Looking at your histogram, do you want to change your answer to problem 3? Why? Section D Histograms and the Mean Mrs. Peterson’s students also surveyed their grandparents to find out approximately how many hours of television they watched each day. The results are shown below. Number of Hours of Television Watched by Grandparents 2 3 8 5 4 3 4 9 4 9 3 4 8 10 5 2 3 1 9 2 8 3 9 3 2 4 4 3 2 5 1.
Either histogram b and c might be a good choice; they each have not too much detail but enough so you can see how the lengths are distributed. Histogram d shows too much detail. It is unlikely that someone would want to know the lengths in parts of centimeters (that is in millimeters). If the bar width gets smaller, each bar has less and less data, so histogram d is not telling you much. 2. a. It is not a good idea. There are too many data points for a stem-and-leaf plot, because you usually make a stem-and-leaf plot by hand.