Question

The distribution below gives the weights of 30 students of a class. F ind the median
weight of the students.
Weight (in kg)
40-45
45-50
50-55 55-60
60-65
70-75
65-70
Number of students
2
3
8
3
2
6
6​

Answer 1

Answer:

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Step-by-step explanation:

Weight ( in kg ) Frequency Cumulative frequency

40−45 2 2

45−50 3 5

50−55 8 13

55−60 6 19

60−65 6 25

65−70 3 28

70−75 2 30

N=30

We have N=30 and

2

N

=15.

Median class =55−60, so l=55,f=6,cf=13 and h=60−55=5

Median=l+

f

2

N

−cf

×h

⇒ Median=55+

6

15−13

×5

⇒ Median=55+1.67=56.67kg