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20. The distribution below gives the weights of 30 students of a class.

Find the median weight of the students :

Wt. (in kg) 40-45 45-50 50-55 55-60 60-65 65-70 70-75

No. of

2

3

8

6

6

3

2

Students

## Answers

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2

**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

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