Chapter B.2, Problem 13E

To determine

To calculate:

Mean mode and median of the given data set.

Answer to Problem 13E

Mean, mode and median of the given data set is $320,320,320$ .

Explanation of Solution

Given information:

Monday: $410$

Tuesday: $260$

Wednesday: $320$

Thursday: $320$

Friday: $460$

Saturday: $150$

Calculation:

Numbers of miles a rental car was driven record is given as below:

Monday: $410$

Tuesday: $260$

Wednesday: $320$

Thursday: $320$

Friday: $460$

Saturday: $150$

The average of given data set having $n$ numbers is the sum of the numbers divided by $n$ .

So mean is calculated as,

  $\begin{array}{l}\overline{x}=\frac{{\displaystyle \sum f\left(x\right)}}{n}\\ \overline{x}=\frac{410+260+320+320+460+150}{6}\\ \overline{x}=\frac{1920}{6}\\ \overline{x}=320\end{array}$

Thus, mean is $320$ .

Median of the given data set having $n$ numbers is the middle number when the numbers are written in numerical order.

If $n$ is even, the median is the average of the two middle numbers.

Now arrange given data in numerical order.

  $150,260,320,320,410,460$

Since $n$ is even, the median is the average of two middle numbers.

  $\begin{array}{l}=\frac{320+320}{2}\\ =320\end{array}$

Thus median is $320$ .

The mode of a data set having $n$ numbers that occurs most frequently.

So it can see that number $320$ occurs most frequently.

Thus mode is $320$ .