Question

We have provided simple data set for you to practices the basics of finding measures of center. For each data set determine the:

a) Mean

b)Median

c) Mode.

The given data set is$4,0,5$.

Short answer

a) Mean$=3$

b) Median$=4$

c) Mode does not exist, because no value occurs more than once.

Step-by-step solution

Step 1. Given information. 

The given data is:$4,0,5$.

Step 2. Mean of the data.

Mean$=\frac{Sumofobservation}{Numberofobeservation}$

$$\begin{gathered} =\frac{4+0+5}{3} \\ =\frac{9}{3} \\ =3 \end{gathered}$$

Step 3. Median of the data.

Arrange the data in increasing order:$0,4,5.$

The median is the observation exactly in the middle of the ordered list.

Thus, the median is$4$.

Step 4. Mode of the data.

Mode does not exist, because no value occurs more than once.