Exam 2: Summarizing and Graphing Data

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Construct a frequency distribution that includes an outlier. Construct the corresponding histogram. Then, construct the corresponding histogram without including the outlier. How much does the outlier affect the shape of the histogram?

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Wagenlucht Ice Cream Company is always trying to create new flavors of ice cream. They are market testing three kinds to find out which one has the best chance of becoming popular. They give small samples of each to 40 people at a grocery store. 8 ice cream tasters preferred the strawberry Cream, 24 preferred Choco-Nuts, and 8 loved the Orange Mint. Construct a Pareto chart to represent these preferences. Choose the vertical scale so that the relative frequencies are represented. Wagenlucht Ice Cream Company is always trying to create new flavors of ice cream. They are market testing three kinds to find out which one has the best chance of becoming popular. They give small samples of each to 40 people at a grocery store. 8 ice cream tasters preferred the strawberry Cream, 24 preferred Choco-Nuts, and 8 loved the Orange Mint. Construct a Pareto chart to represent these preferences. Choose the vertical scale so that the relative frequencies are represented.

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The frequency distribution below summarizes employee years of service for Alpha Corporation. Find the class boundaries for class 26-30. Years of service Frequency 1-5 5 6-10 20 11-15 25 16-20 10 21-25 5 26-30 3

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The frequency table below shows the number of days off in a given year for 30 police detectives. Days off Frequency 0-2 10 3-5 1 6-8 7 9-11 7 12-14 1 15-17 4 Construct a histogram. Use the class midpoints for the horizontal scale. Does the result appear to be a normal distribution? Why or why not?  The frequency table below shows the number of days off in a given year for 30 police detectives.   \begin{array} { r | c }  \text { Days off } & \text { Frequency } \\ \hline 0 - 2 & 10 \\ 3 - 5 & 1 \\ 6 - 8 & 7 \\ 9 - 11 & 7 \\ 12 - 14 & 1 \\ 15 - 17 & 4 \end{array}   Construct a histogram. Use the class midpoints for the horizontal scale. Does the result appear to be a normal distribution? Why or why not?

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The frequency chart shows the distribution of defects for the machines used to produce a product. Defects Frequency 0 1 1 3 2 0 3 2 4 4 5 0  The frequency chart shows the distribution of defects for the machines used to produce a product.   \begin{array}{c|c} \text { Defects } & \text { Frequency } \\ \hline 0 & 1 \\ 1 & 3 \\ 2 & 0 \\ 3 & 2 \\ 4 & 4 \\ 5 & 0 \end{array}

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