Exercise 5.2 (Mode)

Exercise 5.2

1. Find the mode of the following data.

2, 4, 5, 2, 6, 7, 2, 7, 5, 4, 8, 6, 10, 3, 2, 4, 2

Solution:

Arranging the given data in ascending order 2, 2, 2, 2, 2, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 10.

Here the number 2 occurs 5 times which is the maximum.

∴ Mode of this data is 2. 

2. The number of points scored by a Kabaddi team in 20 matches are 36, 35, 27, 28, 29, 31, 32, 31, 35, 38, 38, 31, 28, 31, 34, 33, 34, 31, 30, 29. Find the mode of the goals scored by the team.

Solution:

Arranging the given data in ascending order 27, 28, 28, 29, 29, 30, 31, 31, 31,31, 31, 32, 33, 34, 34, 35, 35, 36, 38, 38.

Here the number 31 occurs 5 times which is the maximum.

∴ Mode of this data is 31.

3. The ages (in years) of 11 cricket players are given below. 25, 36, 39,38 40, 36, 25, 25, 38, 26, 36. Find the mode of their ages.

Solution:  Arranging the ages is ascending order: 25, 25, 25, 26, 36, 36, 36, 36, 38, 38, 39, 40.

25 and 36 occurs maximum number of times.

∴ Mode is 25 and 36.

4. Find the mode of the following data.

12, 14, 12, 16, 15, 13, 14, 18, 19, 12, 14, 15, 16, 15, 16, 16, 15, 17, 13, 16, 16, 15, 15, 13, 15, 17, 15, 14, 15, 13, 15, 14

Solution:  Tabulating the given data

The highest frequency is 10 which corresponds to the value 15.

Hence mode of this data is 15.

Objective type questions

5. The colours used by the six students for drawing is blue, orange, yellow, white, green and blue then the mode is _______.

(i) blue

(ii) green

(iii) white

(iv) yellow

[Answer: (1) blue)]

6. Find the mode of data 3, 6, 9, 12, 15

 (i) 1

(ii) 2

(iii) 3

(iv) No mode

[Answer: (4) No mode]

7. Find the modes of the data 2, 1, 1, 3, 4, 5, 2

 (i) 1 and 5

(ii) 2 and 3

(iii) 2 and 1

(iv) 1 and 4

[Answer: (3) 2 and 1]

ANSWERS:

Exercise 5.2

1. 2

2. 31

3. 25 and 36

4. 15

Objective type questions:

5. (i) blue

6. (iv) No mode

7. (iii) 2 and 1