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Select the correct answer.

Fiona has to plot a histogram of the given data.
[tex]\[ 82, 83, 89, 67, 65, 88, 66, 69, 83, 81, 94, 68, 82, 69, 86, 83, 88, 62, 64, 93 \][/tex]

Which frequency table should she use for the histogram?

A.
\begin{tabular}{|c|c|c|c|c|}
\hline Interval & [tex]$60-70$[/tex] & [tex]$70-80$[/tex] & [tex]$80-90$[/tex] & [tex]$90-100$[/tex] \\
\hline Frequency & 8 & 0 & 10 & 2 \\
\hline
\end{tabular}

B.
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline Interval & [tex]$56-63$[/tex] & [tex]$63-70$[/tex] & [tex]$70-77$[/tex] & [tex]$77-84$[/tex] & [tex]$84-91$[/tex] & [tex]$91-98$[/tex] \\
\hline Frequency & 1 & 7 & 0 & 5 & 5 & 2 \\
\hline
\end{tabular}

C.
\begin{tabular}{|c|c|c|c|c|c|}
\hline Interval & [tex]$50-70$[/tex] & [tex]$70-80$[/tex] & [tex]$80-85$[/tex] & [tex]$85-90$[/tex] & [tex]$90-100$[/tex] \\
\hline Frequency & 8 & 0 & 6 & 4 & 2 \\
\hline
\end{tabular}

D.
\begin{tabular}{|c|c|c|c|}
\hline Interval & [tex]$60-75$[/tex] & [tex]$75-90$[/tex] & [tex]$90-105$[/tex] \\
\hline Frequency & 8 & 10 & 2 \\
\hline
\end{tabular}


Sagot :

To determine which frequency table Fiona should use for plotting a histogram of the given data, we need to compare the given frequency tables with our calculated frequencies.

Here is the calculated frequency table for each option:

A.
\begin{tabular}{|c|c|c|c|c|}
\hline
Interval & [tex]$60-70$[/tex] & [tex]$70-80$[/tex] & [tex]$80-90$[/tex] & [tex]$90-100$[/tex] \\
\hline
Frequency & 8 & 0 & 10 & 2 \\
\hline
\end{tabular}

B.
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
Interval & [tex]$56-63$[/tex] & [tex]$63-70$[/tex] & [tex]$70-77$[/tex] & [tex]$77-84$[/tex] & [tex]$84-91$[/tex] & [tex]$91-98$[/tex] \\
\hline
Frequency & 1 & 7 & 0 & 6 & 4 & 2 \\
\hline
\end{tabular}

C.
\begin{tabular}{|c|c|c|c|c|c|}
\hline
Interval & [tex]$50-70$[/tex] & [tex]$70-80$[/tex] & [tex]$80-85$[/tex] & [tex]$85-90$[/tex] & [tex]$90-100$[/tex] \\
\hline
Frequency & 8 & 0 & 6 & 4 & 2 \\
\hline
\end{tabular}

D.
\begin{tabular}{|c|c|c|c|}
\hline
Interval & [tex]$60-75$[/tex] & [tex]$75-90$[/tex] & [tex]$90-105$[/tex] \\
\hline
Frequency & 8 & 10 & 2 \\
\hline
\end{tabular}

Comparing these tables, we can see that the frequencies in option A match one of the calculated frequencies.

So, the correct answer is:

A.
\begin{tabular}{|c|c|c|c|c|}
\hline
Interval & [tex]$60-70$[/tex] & [tex]$70-80$[/tex] & [tex]$80-90$[/tex] & [tex]$90-100$[/tex] \\
\hline
Frequency & 8 & 0 & 10 & 2 \\
\hline
\end{tabular}