Every year there are hundreds of benefit races throughout the United States. The Seattle Pratt and Chew Classic is a 4 mi race that benefits an emergency feeding program for the homeless. The finishing times for the 16-and-under age group in the 1995 Classic are shown.

For Questions 12-13, use the results shown at the right.

12 Discussion Suppose a middle school student finished the Pratt and Chew Classic with a time of 35 min. Based on the results shown at the right, do you think that time is fast, slow, or average Explain.

Sample Response: average; Most of the finishing times are in the 30s.

One way to answer Question 12 is to find an average or typical finishing time.

13
a. Find the mean of the finishing times for the 16-and-under age group. Round your answer to the nearest tenth. 40.7 min
b. The median is the middle item when you order a data set from least to greatest. When there are an even number of data items, the median is the mean of the two middle numbers. Find the median of the finishing times for the 16-and-under age group. 39 min
c.

The mode is the item that appears most often in a data set. Find the mode of the finishing times for the 16-and-under age group. 31 min and 39 min

14. a. The mode and median would be the same, but th mean would be lowered to 39.0 min.
b. Sample Response: the median; Most of the finishing times are in the 30s.

14
a. Suppose 81 had not been included in the data set. How would that affect each average you found in Question 13
b. Discussion Which average in Question 13 do you think best represents the running data Explain.

MATHTHEMATICS - Stem and Leaf Plots - Exploration 2
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