Chapter 10, Problem 3CR

To determine

To find: The mean, median and mode.

Answer to Problem 3CR

Mean $=2.1$

Median $=2$

Modes $=1.5,2,2.5$

Explanation of Solution

Given information:

Data set: $1.5,2,2.5,2,1.5,2.5,3$

Calculation:

Finding mean of the given data set,

  $\begin{array}{c}\text{mean}=\frac{1.5+2+2.5+2+1.5+2.5+3}{7}\\ =2.1\end{array}$

Finding median of the given data set,

  $1.5,1.5,2,2,2.5,2.5,3\to \text{ordering the numbers in ascending order}$

The number at the middle of a data set in ascending order is the median.

  $\text{median}=2$

Finding the modes,

The item which repeats the most is called mode.

In the given data set numbers $1.5,2\text{and}2.5$ repeats two times each which is most by the numbers in the given data set.

Hence the modes of the given data set are $1.5,2\text{and}2.5$ .

Thus we can find the mean, median and mode for a given data set.