Questions: A data set is summarized in the frequency table below. Using the table, determine the number of values less than or equal to 6. Give your answer as a single number. For example if you found the number of values was 14, you would enter 14. Value Frequency 1 5 2 3 3 2 4 3 5 4 6 3 7 8 8 3 9 7 10 8 11 3

A data set is summarized in the frequency table below. Using the table, determine the number of values less than or equal to 6. Give your answer as a single number. For example if you found the number of values was 14, you would enter 14.

Value  Frequency 
1  5 
2  3 
3  2 
4  3 
5  4 
6  3 
7  8 
8  3 
9  7 
10  8 
11  3
Transcript text: A data set is summarized in the frequency table below. Using the table, determine the number of values less than or equal to 6. Give your answer as a single number. For example if you found the number of values was 14, you would enter 14. \begin{tabular}{cc} Value & Frequency \\ \hline 1 & 5 \\ \hline 2 & 3 \\ \hline 3 & 2 \\ \hline 4 & 3 \\ \hline 5 & 4 \\ \hline 6 & 3 \\ \hline 7 & 8 \\ \hline 8 & 3 \\ \hline 9 & 7 \\ \hline 10 & 8 \\ \hline 11 & 3 \\ \hline \end{tabular}
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Solution

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Solution Steps

To determine the number of values less than or equal to 6, we need to sum the frequencies of all values from 1 to 6 in the given frequency table. This involves iterating over the table and adding up the frequencies for these specific values.

Step 1: Identify the Relevant Values

We need to find the total frequency of values that are less than or equal to 6. The relevant values from the frequency table are \(1, 2, 3, 4, 5, 6\).

Step 2: Sum the Frequencies

The frequencies for these values are as follows:

  • For \(1\): \(5\)
  • For \(2\): \(3\)
  • For \(3\): \(2\)
  • For \(4\): \(3\)
  • For \(5\): \(4\)
  • For \(6\): \(3\)

We calculate the total frequency as: \[ \text{Total Frequency} = 5 + 3 + 2 + 3 + 4 + 3 \]

Step 3: Perform the Calculation

Calculating the sum: \[ \text{Total Frequency} = 5 + 3 + 2 + 3 + 4 + 3 = 20 \]

Final Answer

The number of values less than or equal to \(6\) is \(\boxed{20}\).

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