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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


  1. i> 5 

    ii> 3.5

    iii> Mean

  2. i> 5 

    ii> 3.5

    iii> Median

  3. i> 5 

    ii> 3

    iii> Mean

  4. i> 5 

    ii> 3

    iii> Median


Solution

The correct option is B

i> 5 

ii> 3.5

iii> Median


i> Mean = Sum of observationsNumber of observations

3+4+2+5+4+3+2+4+3+2010

5010

= 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

Median = 3+42 = 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.

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