Question

The following data are the number of sports played by $50$student athletes. The number of sports is discrete data since sports are counted.

$$\begin{gathered} 1;1;1;1;1;1;1;1;1;1;1;1;1;1;1;1;1;1;1;1 \\ 2;2;2;2;2;2;2;2;2;2;2;2;2;2;2;2;2;2;2;2;2;2 \\ 3;3;3;3;3;3;3;3 \end{gathered}$$

$20$student athletes play one sport. $22$student athletes play two sports. Eight student athletes play three sports.

Fill in the blanks for the following sentence. Since the data consist of the numbers $1,2,3,$and the starting point is $0.5$,

a width of one places the 1 in the middle of the interval $0.5$to _____, the $2$in the middle of the interval from _____ to

_____, and the $3$in the middle of the interval from _____ to _____.

Short answer

$1,2,and3$At , we've generated symmetric intervals. When a result, we get those intervals as we obtain them.

Step-by-step solution

Introduction

Since the data consists of the numbers $1,2,3$and the beginning point is $0.5$, a width of one put the 1 in the middle of the range $0.5$to $1.5$, the $2$in the middle of the range $1.5$to $2.5$, and the $3$in the middle of the range $2.5$to $3.5.$

Explanation

The data from $50$people for engagement in a variety of sports shows that the centered or middle value of those intervals should be $1,2,$or $3.$To find the intervals, we just add and subtract $0.5$from $1,2,$and $3.$