Question

If the median weight of students is 45.
The weight of 30 students of a class are given in the following

find the values a and b &
30-35 =2,35-40=a,40-45=10,45-50=5,50-55=6,55-60=b​

Answer 1

a = 3  , b = 4    If the median weight of students is 45.

Step-by-step explanation:

Class               f                       cf

30 - 35            2                      2

35 - 40            a                      2 + a

40 - 45            10                    12 + a

45 - 50            5                      17 + a

50 - 55            6                       23 + a

55 - 60            b                       23 + a + b

23 + a + b = 30

=> a + b = 7

Median is 45

Median  = 45  +  5 * (15 - (12 + a)/10   = 45

=> 12 + a = 15

=> a = 3

b = 4

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