Q11 of 37 Page 14

Find the mode of the given data: [CBSE 2015]


Class interval

0 - 20

20 - 40

40 - 60

60 - 80

Frequency

15

6

18

10

Here, the maximum class frequency is 18.

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) = 18


Frequency of class preceding the modal class (f0) = 6


Frequency of class succeeding the modal (f2) = 10


Mode is given by,



⇒


⇒


⇒ Mode = 40 + 12 = 52


Hence, the mode is 52.

More from this chapter

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9

The monthly pocket money of 50 students of a class are given in the following distribution: [CBSE 2014]


Monthly pocket money (in Rs.)

0 - 50

50 - 100

100 - 150

150 - 200

200 - 250

250 - 300

Number of students

2

7

8

30

12

1

 Find the modal class and also give class mark of the modal class.

 10

For a certain distribution, mode and median were found to be 1000 and 1250 respectively. Find mean for this distribution using an empirical relation.[CBSE 2014]

 12

Compute the mean of the following data, using direct method: [CBSE 2005]


Class

0 - 100

100 - 200

200 - 300

300 - 400

400 - 500

Frequency

6

9

15

12

8
13

If the mean of the following frequency distribution is 54, find the value of p. [CBSE 2006]


Class

0 - 20

20 - 40

40 - 60

60 - 80

80 - 100

Frequency

7

p

10

9

13