Chapter 13.1, Problem 5CYU

To determine

To show: that she exercises for large amounts of time in each given day.

Explanation of Solution

Given information:

Consider the exercise time 35, 30, 45, 30, 40, 37 and 28 minutes for the whole week.

Calculation:

Arrange the data in ascending order to measure the central tendencies.

28, 30, 30, 35, 37, 40 and 45

Calculate the mean, median and mode of the data values.

  $\begin{array}{c}\text{Mean=}\frac{\text{sum}\text{of}\text{time}\text{spent}\text{on}\text{exercising}\text{for}\text{whole}\text{week}}{\text{days}\text{in}\text{week}}\\ \text{Mean}=\frac{28+30+30+35+37+40+45}{7}\\ \text{Mean}=35\end{array}$

Hence the mean time spent on exercise is 35 minutes.

Median is the middle value of data sorted from least to greatest.

Since there is an odd number of observation in the data, the middle value will be the median.

Hence median is 35 minutes.

Mode is the most occur able value in data.

28, 30, 30, 35, 37, 40 and 45

Since 30 occur twice in the dataset, hence mode value of the data is 30 minutes.