Q20 of 37 Page 14

Compute the mode of the following data: [CBSE 2013]


Class

0 - 20

20 - 40

40 - 60

60 - 80

80 - 100

Frequency

25

16

28

20

5

Here, the maximum class frequency is 28.

The class corresponding to this frequency is the modal class. ⇒ modal class = 40 - 60


∴ lower limit of the modal class (l) = 40


Modal class size (h) = 20


Frequency of the modal class (f1) = 28


Frequency of class preceding the modal class (f0) = 16


Frequency of class succeeding the modal (f2) = 20


Mode is given by,



⇒


⇒


⇒ Mode = 40 + 12 = 56


Hence, the mode is 56.

More from this chapter

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18

Find the mean of the following frequency distribution using a suitable method: 

[CBSE 2013]


Class

20 - 30

30 - 40

40 - 50

50 - 60

60 - 70

Frequency

25

40

42

33

10
19

The median of the following data is 16. Find the missing frequencies a and b if the Total of frequencies is 70. [CBSE 2013]


Class

0 - 5

5 - 10

10 - 15

15 - 20

20 - 25

25 - 30

30 - 35

35 - 40

Frequency

12

A

12

15

b

6

6

4
21

Find the mode of the following frequency distribution: [CBSE 2014]


Marks

10 - 20

20 - 30

30 - 40

40 - 50

50 - 60

Number of students

12

35

45

25

13
22

Heights of students of Class X are given in the following frequency distribution: [CBSE 2014]


Height (in cm)

150 - 155

155 - 160

160 - 165

165 - 170

170 - 175

Number of students

15

8

20

12

5

Find the modal height.


Also, find the mean height. Compare and interpret the two measures of central tendency.