Question

The correct statement concerning the following data set:
$2,5,9,3,4,7,3,8,11,15,10$ is

• A. $\text{mode + mean = median}$
• B. $\text{mode > median}$
• C. $3\text{mode - median > mean}$
• D. $\text{mean = median}$

Answer 1

The correct option is D $\text{mean = median}$

Ascending order of data is
$2,3,3,4,5,7,8,9,10,11,15$

mean $=\frac{\sum x}{n}=\frac{77}{11}=7$

mode $=3\left(\text{3 has 2 frequency}\right)$

median $=6^{th}\text{term}=7$

Here, mean $=$ median