Question

Look at the given numbers and answer the questions based on it :

3, 4, 2, 5, 4, 3, 2, 4, 3, 20

i> What is the Mean

ii> What is the Median

iii> Which one gives a better idea of the Average

• A. i> 5 ii> 3 iii> Mean
• B. i> 5 ii> 3 iii> Median
• C. i> 5 ii> 3.5 iii> Mean
• D. i> 5 ii> 3.5 iii> Median

Answer 1

The correct option is D

i> 5

ii> 3.5

iii> Median

i> Mean = $\frac{Sumofobservations}{Numberofobservations}$

= $\frac{3+4+2+5+4+3+2+4+3+20}{10}$

= $\frac{50}{10}$

= $5$

ii> Median -

Arranging the numbers in ascending order we get :

2,2,3,3,3,4,4,4,5,20

Since, number of terms is even = 10, median will be the average of the 5th and 6th observation

$\Rightarrow$ Median = $\frac{3+4}{2}$ = 3.5

iii> Looking at the given data , we can see that the median in this case gives a better idea about the average

as the mean calculation has a term 20 which is much above the rest of the numbers and doesn't give an idea about the majority.