Question

suelout
and drd
follows:
Weight (in kg)
Number of students
Less than 38
0
Less than 40
3
Less than 42
5.
Less than 44
o
Less than 46
14
Less than 48
28
Less than 50
32
Less than 52
35
Draw a less than type ogive for the given data. Hence obtain the median wei
the graph and verify the result by using the formula.
2. During the medical check-up of 35 students of a class, their weights were recorde​

Answer 1

Answer:

⇒  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