Question

For the data given below:
Marks obtained Below 10
Below 20 Be
No. of students
5
16
if x is the class mark of the modal class and
(2x+y) is
135​

Answer 1

Given : x is the class mark of modal class y is the upper limit of the median class  

To Find : value of (2x + y)

Solution:

                   f               cf

0-10               5                5    

10-20            11               16  

20-30           12               28        

30-40            14               42

40-50            30              72

Modal Class is 40-50   as max frequency 14

class mark of Modal Class  x = 45

Median Class is  30-40   as    72/ 2 = 36  ( 28 < 36 ≤ 42  )

upper limit y = 40

2x + y = 2*45 + 40 =   130

2x + y  = 130

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