Question

1. Find the mode of the following observations.
(i) 25, 14, 28, 17, 18, 14, 25, 14, 17, 14
(ii) 0,6, 1, 5, 6, 2, 0, 4, 6, 3, 4, 6, 3,1​

Answer 1

Answer :

Given Data :

(i) 25 , 14 ,28 ,17, 18, 14, 25, 14, 17, 14

Rearranging the given data in ascending order so that we can easily identify mode of data.

Data In Ascending Order :

• 14 , 14 , 14 , 14 , 17 , 17 , 18 ,25 , 25 , 28

So,

$\quad\quad\quad\large \underset{4}{ \sf\underbrace{14,14,14,14}}$

$\quad\quad\quad\quad\large \underset{2}{ \sf\underbrace{ \: 17,17 \: }}$

$\quad \quad\quad\quad\quad\large \underset{1}{ \sf\underbrace{ \: 18 \: }}$

$\quad\quad\quad\quad\large \underset{2}{ \sf\underbrace{ \: 25,25\: }}$

$\quad\quad\quad\quad\quad\large \underset{1}{ \sf\underbrace{ \: 28 \: }}$

So,

From above observation we can say that mode of data is 14. Beacuse value - 14 occurs many times.

(ii) 0,6, 1, 5, 6, 2, 0, 4, 6, 3, 4, 6, 3,1

Rearranging Data in Ascending Order :

• 0 ,0 , 1 ,1 ,2 ,3 ,3 , 4 ,4 ,5 ,6 ,6 ,6

$\quad\quad\quad\quad\large \underset{2}{ \sf\underbrace{ \: 0,0\: }}$

$\quad\quad\quad\quad \large \underset{2}{ \sf\underbrace{ \: 1,1\: }}$

$\quad\quad\quad\quad\large \underset{1}{ \sf\underbrace{ \: 2 \: }}$

$\quad\quad\quad\quad\large \underset{2}{ \sf\underbrace{ \: 3,3\: }}$

$\quad\quad\quad\quad\large \underset{2}{ \sf\underbrace{ \: 4,4\: }}$

$\quad\quad\quad\quad\large \underset{1}{ \sf\underbrace{ \:5 \: }}$

$\quad\quad\quad\large \underset{3}{ \sf\underbrace{6, \: 6 \: ,6}}$

So,

From above observation we can say that mode of the given data is 6 because 6 occurs many times .

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