Problem

The following table represents a grouped frequency distribution of the number of hours spent at the library per week for 58 students. What is the class width? \begin{tabular}{|c|c|} \hline Hours & Number of Students \\ \hline $0.0-1.9$ & 5 \\ \hline $2.0-3.9$ & 17 \\ \hline $4.0-5.9$ & 16 \\ \hline $6.0-7.9$ & 14 \\ \hline $8.0-9.9$ & 6 \\ \hline \end{tabular}

Solution

Step 1 :The class width in a frequency distribution table is the difference between the upper and lower boundaries of any class or category.

Step 2 :In this case, we can calculate the class width by subtracting the lower boundary of a class from the upper boundary.

Step 3 :For example, for the first class, the upper boundary is 1.9 and the lower boundary is 0.0.

Step 4 :So, the class width is 1.9 - 0.0 = 1.9.

Step 5 :We can confirm this by checking the other classes as well.

Step 6 :Final Answer: The class width is \(\boxed{1.9}\).

From Solvely APP
Source: https://solvelyapp.com/problems/39036/

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