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thematics-Session 1
11. The lengths, in minutes, of the movies currently showing at a movie theater are shown in the data set.

89
98
109
123
123
125
125

128
130
135
137
140
143
143

Create a histogram that represents the data.
Draw each bar to the correct height.
Movie Lengths
ris:
Number of Minutes

thematics-Session $1$ $\newline$ $11$ . The lengths, in minutes, of the movies currently showing at a movie theater are shown in the data set. $\newline$ \begin{tabular}{|r|r|r|r|r|r|r|} $\newline$ \hline $89$ & $98$ & $109$ & $123$ & $123$ & $125$ & $125$ \\ $\newline$ \hline $128$ & $130$ & $135$ & $137$ & $140$ & $143$ & $143$ \\ $\newline$ \hline $\newline$ \end{tabular} $\newline$ Create a histogram that represents the data. $\newline$ Draw each bar to the correct height. $\newline$ Movie Lengths $\newline$ ris: $\newline$ Number of Minutes

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Scale drawings: word problems

Full solution

Q. thematics-Session

1

\newline

11

. The lengths, in minutes, of the movies currently showing at a movie theater are shown in the data set.

\newline

\begin{tabular}{|r|r|r|r|r|r|r|}

\newline

\hline

89

&

98

&

109

&

123

&

123

&

125

&

125

\\

\newline

\hline

128

&

130

&

135

&

137

&

140

&

143

&

143

\\

\newline

\hline

\newline

\end{tabular}

\newline

Create a histogram that represents the data.

\newline

Draw each bar to the correct height.

\newline

Movie Lengths

\newline

ris:

\newline

Number of Minutes

Organize Data into Intervals: First, let's organize the data into intervals (bins) for the histogram. We can use intervals of $10$ minutes since the movie lengths range from $89$ to $143$ minutes.
Count Movies in Each Interval: Now, count how many movies fall into each interval. The intervals will be $80-89$ , $90-99$ , $100-109$ , $110-119$ , $120-129$ , $130-139$ , and $140-149$ minutes.
Draw Axes: Counting the movies in each interval: $\newline$ $80-89$ : $1$ movie $\newline$ $90-99$ : $1$ movie $\newline$ $100-109$ : $1$ movie $\newline$ $110-119$ : $0$ movies $\newline$ $120-129$ : $4$ movies $\newline$ $1$ $0$ : $4$ movies $\newline$ $1$ $2$ : $1$ $3$ movies
Draw Bars: Next, draw the x-axis with the intervals and the y-axis with the number of movies. Label the axes appropriately; x-axis as ＂Number of Minutes＂ and y-axis as ＂Frequency.＂
Check Accuracy: For each interval, draw a bar up to the correct height corresponding to the number of movies in that interval.
Check Accuracy: For each interval, draw a bar up to the correct height corresponding to the number of movies in that interval.Make sure each bar is the correct width, not overlapping with the next interval, and the heights are proportional to the number of movies.
Check Accuracy: For each interval, draw a bar up to the correct height corresponding to the number of movies in that interval.Make sure each bar is the correct width, not overlapping with the next interval, and the heights are proportional to the number of movies.Finally, review the histogram to ensure it accurately represents the data with correct heights for each bar.

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\newline

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\newline

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\newline

\square

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