Test Your Skills 1. During a medical check up to 35 students, their weights were recorded as follows: Weight (in kg) No. of students Below 40 01 00 Below 42 Below 44 9 Below 46 14 Below 48 28 Below 50 31 Below 52 35 Compute the modal weight. (Hint: First of all prepare simple frequency distribution with the first class being 'below 40 followed by classes 40-42, 42-44, 50-52.)
Attachments:
Answers
Answered by
2
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
Attachments:
Similar questions