Q 3.10 - Elementary Statistics

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 $3,5,7$

Step-by-Step Solution

Answer

a) Mean $=5$

b) Median $=5$

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

Step 1. Given information.

The given data is $3, 5, 7$.

Step 2. Mean of the data.

Mean$=\frac{Sum of observation }{Number of observation}$

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

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.