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
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}
Solution
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.