Questions: As part of the marketing group at a film studio, you are asked to find out the age distribution of the audience of the studio's latest family friendly film. With the help of 10 of your colleagues, you conduct exit interviews by randomly selecting people to question at 20 different movie theatres. From 469 responses, you find out that 45 are younger than 6, 80 are 6 to 9 years old, 153 are 10 to 14, 14 are 15 to 21, and 177 are older than 21. Complete parts a and b below. a) Make a frequency table for the age distribution of the audience. Age Range Frequency Under 6 6 to 9 10 to 14 15 to 21 Over 21

As part of the marketing group at a film studio, you are asked to find out the age distribution of the audience of the studio's latest family friendly film. With the help of 10 of your colleagues, you conduct exit interviews by randomly selecting people to question at 20 different movie theatres. From 469 responses, you find out that 45 are younger than 6, 80 are 6 to 9 years old, 153 are 10 to 14, 14 are 15 to 21, and 177 are older than 21. Complete parts a and b below. a) Make a frequency table for the age distribution of the audience. Age Range Frequency Under 6 6 to 9 10 to 14 15 to 21 Over 21
Transcript text: As part of the marketing group at a film studio, you are asked to find out the age distribution of the audience of the studio's latest family friendly film. With the help of 10 of your colleagues, you conduct exit interviews by randomly selecting people to question at 20 different movie theatres. From 469 responses, you find out that 45 are younger than 6, 80 are 6 to 9 years old, 153 are 10 to 14, 14 are 15 to 21, and 177 are older than 21. Complete parts a and $b$ below. a) Make a frequency table for the age distribution of the audience. \begin{tabular}{|c|c|} \hline Age Range & Frequency \\ \hline Under 6 & $\square$ \\ \hline 6 to 9 & $\square$ \\ \hline 10 to 14 & $\square$ \\ \hline 15 to 21 & $\square$ \\ \hline Over 21 & $\square$ \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Organize the Data

The given data provides the frequency of audience members in different age ranges:

  • Under 6: 45
  • 6 to 9: 80
  • 10 to 14: 153
  • 15 to 21: 14
  • Over 21: 177
Step 2: Construct the Frequency Table

Using the data, we construct a frequency table to represent the age distribution of the audience.

\[ \begin{tabular}{|c|c|} \hline Age Range & Frequency \\ \hline Under 6 & 45 \\ \hline 6 to 9 & 80 \\ \hline 10 to 14 & 153 \\ \hline 15 to 21 & 14 \\ \hline Over 21 & 177 \\ \hline \end{tabular} \]

Final Answer

The frequency table for the age distribution of the audience is:

\[ \boxed{ \begin{tabular}{|c|c|} \hline Age Range & Frequency \\ \hline Under 6 & 45 \\ \hline 6 to 9 & 80 \\ \hline 10 to 14 & 153 \\ \hline 15 to 21 & 14 \\ \hline Over 21 & 177 \\ \hline \end{tabular} } \]

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