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A recent survey determined the IQ score of a random selection of residents of Alaska. The accompanying relative frequency distribution table summarizes the results.

Identify the class width for the given relative frequency distribution.

\begin{tabular}{|c|c|}
\hline
IQ Score & Relative Frequency \\
\hline
[tex]$50-69$[/tex] & [tex]$5 \%$[/tex] \\
\hline
[tex]$70-89$[/tex] & [tex]$23 \%$[/tex] \\
\hline
[tex]$90-109$[/tex] & [tex]$46 \%$[/tex] \\
\hline
[tex]$110-129$[/tex] & [tex]$19 \%$[/tex] \\
\hline
[tex]$130-149$[/tex] & [tex]$7 \%$[/tex] \\
\hline
\end{tabular}

A. 19
B. 20
C. 19.5



Answer :

GinnyAnswer
To identify the class width for the given relative frequency distribution, follow these steps:

1. Identify the Lower Bound of the First Class: Look at the first class interval provided, which is [tex]$50-69$[/tex]. The lower bound for this class interval is 50.

2. Identify the Lower Bound of the Second Class: Look at the second class interval provided, which is [tex]$70-89$[/tex]. The lower bound for this class interval is 70.

3. Calculate the Class Width: Subtract the lower bound of the first class from the lower bound of the second class:
[tex]\[ \text{Class Width} = 70 - 50 \][/tex]

4. Simplify the Calculation:
[tex]\[ \text{Class Width} = 20 \][/tex]

Thus, the class width for the given relative frequency distribution is 20.

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