the mean of the following distribution is 50 determine the value of g 3 where the class intervals are 0-20 20-40 40-60 60-80 80-100 and their frequencies are 17 g 32 24 and 19 respectively.
Answers
Solution :-
Class interval fi xi fixi
0 - 20 17 10 170
20 - 40 g 30 30g
40 - 60 32 50 1600
60 - 80 24 70 1680
80 - 100 19 90 1710.
Total. ⅀fi = (92+g). ⅀fixi = (5160+30g)
we know that,
- Mean = ⅀fixi / ⅀fi .
given that, Mean is 50 .
Therefore,
→ 50 = (5160 + 30g) / (92 + g)
→ 50(92 + g) = 5160 + 30g
→ 50 * 92 + 50g = 5160 + 30g
→ 4600 + 50g = 5160 + 30g
→ 50g - 30g = 5160 - 4600
→ 20g = 560
dividing both sides by 20,
→ g = 28 (Ans.)
Hence, value of g is 28.
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Answer:
pls solve using assumed mean method