Question

the favorite season of 135 people surveyed are shown in the table. find the relative frequency of people who prefer summer.

\

$$\begin{tabular}{|l|c|c|c|c|} \\hline flavor & spring & summer & fall & winter \\\\ \\hline frequency & 26 & 35 & 40 & 34 \\\\ \\hline \\end{tabular}$$

relative frequency = ? %

round your answer to the nearest whole percent.

Explanation:

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<reasoning>

Identify given values

\[

$$\begin{aligned} &\text{Total surveyed } (N) = 135\\ &\text{Summer frequency } (f) = 35 \end{aligned}$$

\]

Calculate relative frequency

\[
\text{Relative Frequency} = \frac{f}{N} = \frac{35}{135} \approx 0.259259
\]

Convert to percentage and round

\[

$$\begin{aligned} &0.259259 \times 100\% \approx 25.93\%\\ &\text{Rounded to nearest whole percent} = 26\% \end{aligned}$$

\]
</reasoning>

<answer>
The favorite season of 135 people surveyed are shown in the table. Find the relative frequency of people who prefer summer.

Relative Frequency = <blank>26</blank>%
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
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"Relative Frequency"
]
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Answer:

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</pre_analysis>

<reasoning>

Identify given values

\[

$$\begin{aligned} &\text{Total surveyed } (N) = 135\\ &\text{Summer frequency } (f) = 35 \end{aligned}$$

\]

Calculate relative frequency

\[
\text{Relative Frequency} = \frac{f}{N} = \frac{35}{135} \approx 0.259259
\]

Convert to percentage and round

\[

$$\begin{aligned} &0.259259 \times 100\% \approx 25.93\%\\ &\text{Rounded to nearest whole percent} = 26\% \end{aligned}$$

\]
</reasoning>

<answer>
The favorite season of 135 people surveyed are shown in the table. Find the relative frequency of people who prefer summer.

Relative Frequency = <blank>26</blank>%
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Statistics",
"Relative Frequency"
]
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