Questions: Given the frequency table below, what is the relative frequency of the data value 1 ? Value Frequency 1 6 2 5 3 5 4 2 5 7

Given the frequency table below, what is the relative frequency of the data value 1 ? Value Frequency 1 6 2 5 3 5 4 2 5 7
Transcript text: Given the frequency table below, what is the relative frequency of the data value 1 ? \begin{tabular}{cc} Value & Frequency \\ \hline 1 & 6 \\ \hline 2 & 5 \\ \hline 3 & 5 \\ \hline 4 & 2 \\ \hline 5 & 7 \\ \hline \end{tabular}
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Solution

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Solution Steps

To find the relative frequency of the data value 1, we need to divide the frequency of the data value 1 by the total frequency of all data values. The total frequency is the sum of all individual frequencies.

Step 1: Identify the Frequency of the Data Value 1

The frequency of the data value 1 is given as 6.

Step 2: Calculate the Total Frequency

The total frequency is the sum of all individual frequencies: \[ \text{Total Frequency} = 6 + 5 + 5 + 2 + 7 = 25 \]

Step 3: Compute the Relative Frequency of the Data Value 1

The relative frequency of the data value 1 is calculated by dividing the frequency of the data value 1 by the total frequency: \[ \text{Relative Frequency of 1} = \frac{6}{25} = 0.24 \]

Final Answer

\(\boxed{\frac{6}{25}}\)

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