Question

For the given data
$36,38,33,34,32,30,34,35,65$
Which among the following has highest value

• A. mode
• B. mean
• C. median
• D. range

Answer 1

The correct option is B mean

Mean of given data $=30+\text{mean of (6,8,3,4,2,0,4,5,35)}$
mean $=30+\frac{\sum x}{n}=30+\frac{67}{9}=30+7.444=37.444$

Range $=max-min=65-30=35$

given data arranged in increasing order is $30,32,33,34,34,35,36,38,65$
median $={\left(\frac{9+1}{2}\right)}^{th}\text{term}=5^{th}\text{term}=34$

Mode $=34$
$(\because \text{34 is max repeated})$
Hence, Mean has highest value