Question

What is the measures of central tendency for the data set $5,5,10,10,5,20,25$?

Answer 1

Mean, median and mode of a data set are the measures of central tendency.
Step 1: Mean $=$ $\frac{\sum X}{n}$
$\sum X$ $=$ sum of the data values.
$n=$ number of the data values
Mean $=$ $\frac{5+5+10+10+5+20+25}{7}=11.4$
Step 2: The data set in the ascending order is $5,5,5,10,10,20,25$
So, Median of the set is $10$. [Median is the middle data value of the ordered set.]
Step 3: Mode is the data value(s) that appear most often in the data set. So, the modes of the data set are $5$.
So, the measures of central tendency of the given set of data are mean $=11.4$, median $=10$ and mode $=5$.