Answered

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 first class, and (c) the class width.

\begin{tabular}{cc}
\hline Speed [tex]$( km / hr )$[/tex] & Number of Players \\
\hline [tex]$10-13.9$[/tex] & 4 \\
[tex]$14-17.9$[/tex] & 7 \\
[tex]$18-21.9$[/tex] & 19 \\
[tex]$22-25.9$[/tex] & 76 \\
[tex]$26-29.9$[/tex] & 228 \\
[tex]$30-33.9$[/tex] & 210 \\
\end{tabular}

(a) There are 6 classes. (Type a whole number.)

(b) The lower class limit for the first class is [tex]$\square$[/tex]. (Type an integer or a decimal. Do not round.)



Answer :

GinnyAnswer
Let's go through the problem step-by-step:

(a) Number of classes:
The number of classes can be determined by counting the distinct groups or intervals given in the frequency distribution table.

From the table:

1. 10 - 13.9
2. 14 - 17.9
3. 18 - 21.9
4. 22 - 25.9
5. 26 - 29.9
6. 30 - 33.9

There are 6 classes.

Answer: 6 classes

(b) Lower class limit for the first class:
The lower class limit is the smallest value in the first class interval.

For the first class interval (10 - 13.9):

The lower class limit is 10.0

Answer: 10.0

(c) Class width:
The class width can be calculated by taking the difference between the lower class limits of any two consecutive classes.

For the first and second class intervals:
- The lower limit of the first class is 10.0
- The lower limit of the second class is 14.0

Class width = Lower limit of second class - Lower limit of first class
Class width = 14.0 - 10.0
Class width = 4.0

Answer: 4.0

Other Questions