Q21 of 37 Page 14

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

Here, the maximum class frequency is 45.

The class corresponding to this frequency is the modal class. ⇒ modal class = 30 - 40


∴ lower limit of the modal class (l) = 30


Modal class size (h) = 10


Frequency of the modal class (f1) = 45


Frequency of class preceding the modal class (f0) = 35


Frequency of class succeeding the modal (f2) = 25


Mode is given by,



⇒


⇒


⇒ Mode = 30 + 3.33 = 33.33


Hence, the mode is 33.33

More from this chapter

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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
20

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
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.

 23

In an annual examination, marks (out of 90) obtained by students of Class X in mathematics are given below: [CBSE 2014]


Marks obtained

0 - 15

15 - 30

30 - 45

45 - 60

60 - 75

75 - 90

Number of students

2

4

5

20

9

10

Find the mean marks.