1. During a medical check up to 35 students, their weights were recorded as follows:
Weight (in kg)
No. of students
Below 38
0
Below 40
3
Below 42
5
Below 44
9
Below 46
14
Below 48
28
Below 50
31
Below 52
35
Compute the modal weight.
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10th
Maths
Statistics
Ogives
During the medical check up...
STATISTICS
During the medical check up of 35 students of a class, their weights were recorded as follows:
Weight (in kg)
No. of students
Less than 38
0
Less than 40
3
Less than 42
5
Less than 44
9
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 weight from the graph and verify the result by using the formula.
December 20, 2019
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Abi Chaubey
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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