Questions: The data to the right represent the top speed (in kilometers per hour) of all the players (except goaltenders) in a certain soccer league. Find (a) the number of classes, (b) the class limits for the third class, and (c) the class width.
Speed (km/hr) Number of Players
--- ---
10-14.9 4
15-19.9 10
20-24.9 39
25-29.9 353
30-34.9 198
(a) There are classes.
(Type a whole number.)
Transcript text: The data to the right represent the top speed (in kilometers per hour) of all the players (except goaltenders) in a certain soccer league. Find (a) the number of classes, (b) the class limits for the third class, and (c) the class width.
\begin{tabular}{cc}
\hline Speed $(\mathbf{k m} / \mathbf{h r})$ & Number of Players \\
\hline $10-14.9$ & 4 \\
$15-19.9$ & 10 \\
$20-24.9$ & 39 \\
$25-29.9$ & 353 \\
$30-34.9$ & 198
\end{tabular}
(a) There are $\square$ classes.
(Type a whole number.)
Solution
Solution Steps
Step 1: Finding the Number of Classes
Given the dataset, the number of classes is determined by counting the distinct ranges listed. In this case, there are ^5^ classes.
Step 2: Finding Class Limits
For the specified class (class 3), the ^lower class limit^ is identified as the smallest value in the specified class range, which is ^20^. Similarly, the ^upper class limit^ is the largest value in the specified class range, which is ^24.9^.
Step 3: Finding Class Width
The class width is found by subtracting the lower limit of the class from the upper limit of the same class. For the specified class (class 3), the calculation is ^24.9 - 20 = 4.9^.
Final Answer:
The number of classes is ^5^. For class 3, the lower class limit is ^20^, the upper class limit is ^24.9^, and the class width is ^4.9^.