Chapter 13.1, Problem 16E

To determine

The each exam score occurred at greatest frequency.

Answer to Problem 16E

For Exam $1$ :

  

The score with the greatest frequency is $81$ and $85$ .

For Quiz $2:$

  

The scores with the greatest frequency is $68$ .

Explanation of Solution

Given information:

Use the given scores from a math class of $30$ students. The scores are for two $25$ point quizzes and two $100$ point exams.

For Exam $1$ :

  $\begin{array}{l}77,100,77,70,83,89,87,85,81,84,81,78,89,78,88,85,90,92,75,\\ 81,85,100,98,81,78,75,85,89,82,75\end{array}$ .

For Exam $2:$

  $\begin{array}{l}76,78,73,59,70,81,71,66,66,73,68,67,63,67,77,84,87,71,\\ 78,78,90,80,77,70,80,64,74,68,68,68\end{array}$

Construct a line plot for each exam. For each exam, which score occurred with the greatest frequency?

Calculation:

For Exam $1$ :

Begin by finding the smallest and largest numbers, $70$ and $100$ , respectively.

Draw a portion of the line that includes the interval $[70,100]$ .Enter a solid dot above each score and continue recording to obtain the line plot as shown below:

  

The score with the greatest frequency is $81$ and $85$ .

For Exam $2:$

Begin by finding the smallest and largest numbers, $59$ and $90$ , respectively.

Draw a portion of the line that includes the interval $[59,90]$ .Enter a solid dot above each score and continue recording to obtain the line plot as shown below:

  

The scores with the greatest frequency is $68$ .