Chapter 13.1, Problem 2CYU

To determine

The mean, median and mode of the data

Answer to Problem 2CYU

Mean: $35$

Median: $35$

Mode: $30$

Explanation of Solution

Given:

The given data is

  $35,30,45,30,40,37,28$

Calculation:

Mean = Sum of all observations/Total number of observations

  $\begin{array}{l}=\frac{35+30+45+30+40+37+28}{7}\\ =\frac{245}{7}\\ =35\end{array}$

Median = The exact middle value of the data when arranged from least to greatest

Order the data from least to greatest: 28, 30, 30, 35, 37, 40, 45

As, the total number of observations are 7 (odd), median will be the exact middle value.

Median = 35

Mode = The most frequent value in the given data set

So, Mode = 30