Daniels Bryant
11/04/2024 · Middle School

1. Suppose you own a hat shop and decide to order hats in only one size for the coming season. To decide which size to order, you look at last year's sales figures, which are itemized according to size. Should you find the mean, median, or mode for the data? Why? 2. A movie chain conducts a popcorn poll in which each person entering a theater and buying a box of popcorn is asked a yes-no question. Which "average" do you think is used to report the result and why? 3. When a government agency reports the average rainfall for a state for a year, which "average" do you think it uses and why? 4. Karl had scores of \( 90,95,85 \), and 90 on his first four tests. a. Find the median, mean, and mode. b. Karl scored a 20 on his fifth exam. Which of the three averages would Karl want the instructor to use to compute his grade? Why? c. Which measure is affected most by an extreme score?

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1. Find the mode for the hat shop data to order the most popular size. 2. Use proportion or percentage for the popcorn poll to report "yes" responses. 3. Use the mean for the state's average rainfall to represent the overall amount. 4a. Karl's median is 92.5, mean is 90, and mode is 90. 4b. Karl would prefer the mean for his grade as it's less affected by his low fifth exam score. 4c. The mean is most affected by extreme scores.

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