Question

The distribution below gives the weights of 30 Stredients of a class. Find the mean weight of the students. Weight (in kg) 40-45 45-50 50-55 55-60 60-65 65-70 70-75 Number of 8 6 6 Students 3 2 3 3 2 . full explanation​

Answer 1

Answer:

The cumulative frequency is little greater than ( N/2 = 30/2 = 15 ) 20 which belongs to the class interval = 55-60

Median class = 55-60

l = 55

Frequency = 6

cf of class preceding median class = 13

Class size h = 5

Using formula,

\sf{Median = l + \frac{ \frac{n}{2} - cf }{h} \times h}Median=l+

h

2

n

−cf

×h

\sf {= 55 + \frac{15-13}{6} \times 5}=55+

6

15−13

×5

\sf{ =56.66 }=56.66

The median weight of students is 56.66 kg.