The data in the following table reflect the amount of time 40 students in a section of Statistics 101 spend on homework each day. Find the value of the missing entry.
$\begin{array}{c|c}
\begin{array}{c}
\text { Homework time } \
\text { (minutes) }
\end{array} & \begin{array}{c}
\text { Relative } \
\text { frequency }
\end{array} \
\hline 0-14 & 0.05 \
15-29 & 0.10 \
30-44 & 0.25 \
45-59 & \
60-74 & 0.15 \
75-89 & 0.05
\end{array}$
A)16
B) 40
C) 0.40
D) The value cannot be determined from the given data.

Question

The data in the following table reflect the amount of time 40 students in a section of Statistics 101 spend on homework each day. Find the value of the missing entry. 
$\begin{array}{c|c}
\begin{array}{c}
\text { Homework time } \
\text { (minutes) }
\end{array} & \begin{array}{c}
\text { Relative } \
\text { frequency }
\end{array} \
\hline 0-14 & 0.05 \
15-29 & 0.10 \
30-44 & 0.25 \
45-59 & \
60-74 & 0.15 \
75-89 & 0.05
\end{array}$
A)16
B) 40
C) 0.40
D) The value cannot be determined from the given data.

Quizplus · Accepted Answer

The sum of the relative frequencies should equal 1. Adding the given relative frequencies (0.05 + 0.10 + 0.25 + 0.15 + 0.05) equals 0.60. Therefore, the missing relative frequency for the 45-59 minutes category must be 0.40 to make the total 1.

The Data in the Following Table Reflect the Amount of Time