Question

Find the mode of the following data i) 12,8,4,8,1,9,11,9,10,12,8 ii)15,22,17,19,22,17,29,24,17,15 iii)1,7,2,4,5,9,8,3​

Answer 1

mode of

i) 8

ii)17

iii)no mode

Answer 2

The mode for the data sets is

(i) 8

(ii) 17

(iii) no mode

Step-by-step explanation:

Given:

The data sets are given as

i) 12,8,4,8,1,9,11,9,10,12,8

ii)15,22,17,19,22,17,29,24,17,15

iii)1,7,2,4,5,9,8,3​

To find:

mode of the data sets

Solution:

The mode of each of the data set will be different

A mode of the data will be the highest repeating or the most frequent  number in a data set

We look for mode in each set

(i) 12,8,4,8,1,9,11,9,10,12,8

Arranging the data set in ascending order

1,4,8,8,8,9,9,10,11,12,12

We look out for the number repeating more times

It is 8 as that number in the data set is repeated 3 times

∴ Mode for (i) is 8

(ii) 15,22,17,19,22,17,29,24,17,15

Arranging the data in ascending order

15,15,17,17,17,19,22,22,24,29

The number 17 is repeated most frequently i.e. for 3 times

∴ Mode for (ii) is 17

(iii) 1,7,2,4,5,9,8,3​

Arranging the data in ascending order

1,2,3,4,5,7,8,9

Here, there is no number repeating

∴ Hence no mode for (iii)

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