Question

Q. 31. During a medical check up of 35 students, their weights were recorded as below:
Weight (in kg)
No. of students
3.
Below 40
Below 42
Below 44
Below 46
Below 48
Below 50
Below 52
5
9
14
28
31
35
Compute the modal weight.
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Answer 1

Answer:

Correct option is

B

46.5 kg

⇒ From the given table in question we have draw less than type ogive curve.

⇒ ∑f

i

=35. So, n=35

∴

2

n

=

2

35

=17.5

We draw a line parallel to x-axis where, number of students =17.5

Where the line line intersects are equation, it is the median

∴ Median=46.5

Weight

(inkg) No.ofstudents

(f

i

) cf

0−38 0 0

38−40 3−0=3 3

40−42 5−3=2 5

42−44 9−5=4 9

44−46 14−9=5 14

46−48 28−14=14 28

48−50 32−28=4 32

50−52 35−32=3 35

∑f

i

=35

We know,

2

n

=17.5

∴ Median class =46−48

⇒ l=46cf=14,f=14 and h=40−38=2

Median=l+

f

2

n

−cf

×h

=46+

14

17.5−14

×2

=46+0.5

=46.5