Questions: The following table represents a grouped frequency distribution of the number of hours spent on the computer per week for 54 students. What is the class width? Hours Number of Students 3.0-6.4 4 6.5-9.9 16 10.0-13.4 13 13.5-16.9 14 17.0-20.4 7

The following table represents a grouped frequency distribution of the number of hours spent on the computer per week for 54 students. What is the class width?

Hours  Number of Students
3.0-6.4  4
6.5-9.9  16
10.0-13.4  13
13.5-16.9  14
17.0-20.4  7
Transcript text: The following table represents a grouped frequency distribution of the number of hours spent on the computer per week for 54 students. What is the class width? \begin{tabular}{|c|c|} \hline Hours & Number of Students \\ \hline $3.0-6.4$ & 4 \\ \hline $6.5-9.9$ & 16 \\ \hline $10.0-13.4$ & 13 \\ \hline $13.5-16.9$ & 14 \\ \hline $17.0-20.4$ & 7 \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Identify Class Boundaries

For a given class, the lower boundary (L) is 3 and the upper boundary (U) is 6.4.

Step 2: Calculate Class Width

For continuous and inclusive data, the class width can be calculated using the formula: $$ \text{Class Width} = U - L $$ Substituting the given values, we get: $$ \text{Class Width} = 6.4 - 3 = 3.4 $$

Final Answer:

The class width for the given class interval is 3.4.

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