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$3,5,7$

Short answer

a) Mean $=5$

b) Median $=5$

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

Step-by-step solution

Step 1. Given information. 

The given data is$3,5,7$.

Step 2. Mean of the data. 

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

localid="1650798635066" $$\begin{gathered} =\frac{3+5+7}{3} \\ =\frac{15}{3} \\ =5 \end{gathered}$$

Step 3. Median of the data. 

Arrange the data in increasing order $3,5,7$.

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

Thus, the median is$5$.

Step 4. Mode of the data. 

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