Question

13. The data regarding marks obtained by 48 students of a class test is given below. Calculate the modal marks ofstudents.Marks obtained 0-5 5-10 10-15 15-20 20-25 25-30 30-35 35-40 40-45 45-50Number of students 1 0 2 0 10 25 7 2 1​

Answer 1

27.27 is Mode of Data

Step-by-step explanation:

CLASS             FREQUENCY           CF

0-5                    1                                1

5-10                   0                               1

10-15                  2                               3

15-20                 0                               3

20-25                10                             13

25-30                25                            38

30-35                7                               45

35-40                 2                              47

40-45                  1                              48

Highest frequency 25 lies in 25-30

Hence Mode will lie between 25-30

Mode  = 25  +  5 * ( 25 - 10)/(25 - 10 + 25 - 7)

= 25 + 5 * 15/33

= 25 + 2.27

= 27.27 is Mode of Data

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