IDNLearn.com makes it easy to find precise answers to your specific questions. Get the information you need from our community of experts who provide accurate and thorough answers to all your questions.

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}