Chapter 12: Problem 44
What is a frequency polygon?
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Chapter 12: Problem 44
What is a frequency polygon?
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Describe how to determine the \(z\)-score for a data item in a normal distribution.
A set of data items is normally distributed with a mean of 60 and a standard deviation of 8.Convert each data item to a z-score. 74
The data sets give the number of platinum albums for the five male artists and the five female artists in the United States with the most platinum albums. (Platinum albums sell one million units or more.) $$ \begin{array}{|l|c|} \hline \text { Artist } & \begin{array}{c} \text { Platinum } \\ \text { Albums } \end{array} \\ \hline \text { Garth Brooks } & 145 \\ \hline \text { Elvis Presley } & 104 \\ \hline \text { Billy Joel } & 80 \\ \hline \text { Michael Jackson } & 71 \\ \hline \text { Elton John } & 65 \\ \hline \end{array} $$ $$ \begin{array}{|l|c|} \hline \text { Artist } & \begin{array}{c} \text { Platinum } \\ \text { Albums } \end{array} \\ \hline \text { Mariah Carey } & 64 \\ \hline \text { Madonna } & 63 \\ \hline \text { Barbra Streisand } & 61 \\ \hline \text { Whitney Houston } & 54 \\ \hline \text { Celine Dion } & 48 \\ \hline \end{array} $$ a. Without calculating, which data set has the greater mean number of platinum albums? Explain your answer. b. Verify your conjecture from part (a) by calculating the mean number of platinum albums for each data set. c. Without calculating, which data set has the greater standard deviation? Explain your answer. d. Verify your conjecture from part (c) by calculating the standard deviation for each data set. Round answers to two decimal places.
In Exercises 17-26, find the standard deviation for each group of data items. Round answers to two decimal places. \(1,2,3,4,5\)
A set of data items is normally distributed with a mean of 400 and a standard deviation of 50. Find the data item in this distribution that corresponds to the given z-score. \(z=-3\)
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