Chapter 13, Problem 4PT

To determine

The correct option which shows range of show times for a race at a track meet by using the given stem-and leaf plot:

  

A. $23$

B. $25$

C. $24$

D. $84$

Answer to Problem 4PT

The correct option is A. The range of show times for a race at a track meet is $23\sec$ .

Explanation of Solution

Given:

  

Concept Used:

The difference between the highest value and least value of the given data set is represented by the statistical term which is known as the range of data set $\left(R\right)$

Calculation:

Range of ages of the given set data is calculated as:

Take the ages from the least to greatest:

  $31,33,34,34,35,37,46,48,48,49,49,52,53,54$

The least value of track times is: $31\sec$

The highest value of age is: $54\sec$

Now take subtraction both numbers:

  $\begin{array}{l}R=54\sec -31\sec \\ R=23\sec \end{array}$

Conclusion:

Hence,correct option is A.