Question

Find Mode of the observations :-

1,2,2,4,4,5,6,7,7,7,8,8,9 is​

Answer 1

Answer:

(i) 25, 14, 28, 17, 18, 14, 25, 14, 17, 14 Arranging given numbers in ascending order,

14, 14, 14, 14, 17, 17, 18, 25, 25, 28. → Here, we can see 14 occurs maximum number of times i.e. 4 times. .. Mode = 14

(ii) 0,6, 1, 5, 6, 2, 0, 4, 6, 3, 4, 6, 3, 1 Arranging given numbers in ascending order,

0, 0, 1, 1, 2, 3, 3, 4, 4, 5, 6, 6, 6, 6 → Here, we can see 6 occurs maximum number of times i.e. 4 times. ... Mode = 6

Answer 2

Given:

The observations : 1 , 2 , 2 , 4 , 4 , 5 , 6 , 7 , 7 , 7 , 8 , 8 , 9

To find :

The mode of the observations.

Solution

The mode of a set of observation is the value that occurs most frequently in the set.

The given observation is 1 , 2 , 2 , 4 , 4 , 5 , 6 , 7 , 7 , 7 , 8 , 8 , 9

Here, 1 occurs one time

2 occurs two times

4 occurs two times

5 occurs one time

6 occurs one time

7 occurs three times

8 occurs two times

9 occurs one time

Therefore the mode is 7.

Because 7 occurred more times than the other numbers.

Final answer:

The mode of the observations : 1 , 2 , 2 , 4 , 4 , 5 , 6 , 7 , 7 , 7 , 8 , 8 , 9 is 7.