The mean of the following frequency distribution is 43.75. Find the missing frequency
Class. frequency
0-10 8
10-20. 4
20-30 20
30 - 40. 45
40-50 64
50-60 32
60 - 70 f
70 - 80 8
80 - 90 2
90 - 100. 2
Answers
Answer:
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Step-by-step explanation:
Solution :-
Class Fi Xi FiXi
0-10 8 5 40
10-20 4 15 60
20-30 20 25 500
30-40 45 35 1575
40-50 64 45 2880
50-60 32 55 1760
60-70 f 65 65f
70-80 8 75 600
80-90 2 85 170
90-100 2 95 190
⅀Fi=185+f ⅀FiXi=7775+65f
we know that,
- Mean = ⅀FiXi / ⅀Fi
so,
→ (7775 + 65f) /(185 + f) = 43.75
→ 7775 + 65f = 8093.75 + 43.75f
→ 65f - 43.75f = 8093.75 - 7775
→ 21.25f = 318.75
→ f = (318.75/21.25)
→ f = 15 .(Ans.)
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