Find the missing frequency of the following data if the mode is 48.6 : ClassInterval:10 – 25 25 – 40 40 – 55 55 – 70 70 – 85 Frequency:6 20 44 y 3 please give the answer fast
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10th
Maths
Statistics
Mode of Grouped Data
Find the mode of the follow...
STATISTICS
Find the mode of the following distribution.
(i)
Class-interval: 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80
Frequency: 5 8 7 12 28 20 10 10
(ii)
Class-interval: 10-15 15-20 20-25 25-30 30-35 35-40
Frequency: 30 45 75 35 25 15
(iii)
Class-interval: 25-30 30-35 35-40 40-45 45-50 50-60
Frequency: 25 34 50 42 38 14
November 22, 2019
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Shrilakshmi Bindal
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ANSWER
We know,
Mode=l+
2f−f
1
−f
2
f−f
1
×h
l= lower limit of the modal class
h= size of the class intervals
f= frequency of the modal class
f
1
= frequency of the class preceding the modal class
f
2
= frequency of the class succeed in the modal class.
(i) Here, the maximum frequency is 28 then the corresponding class 40−52 is modal class.
⇒ l=40,h=50−40=10,f=28,f
1
=12,f
2=20
⇒ Mode=l+ 2f−f 1 −f 2
f−f 1×h
⇒ Mode=40+ 2×28−12−20
28−12×10
⇒ Mode=40+ 24+160
⇒ Mode=40+6.67=46.67
Answer:
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