Question

Out of 100 numbers ,20 were 4s,40 were 5s,30 were 6s,and remaining were 7s then find the arithmetic mean of number

Answer 1

Answer:

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Answer 2

Out of 100 numbers ,20 were 4s,40 were 5s,30 were 6s,and remaining were 7s then the arithmetic mean of these numbers is 5.3

Given total numbers = 100

20 of them are 4s

So, total value of these 20 numbers = (20 × 4) = 80

40 of them are 5s

So, total value of these 40 numbers = (40 × 5) = 200

30 of them were 6s

So, total value of these 30 numbers = (30 × 6) = 180

Numbers remaining = 100 - (20 + 40 + 30) = 10

So, from the question, we get to know that these remaining 10 numbers are 7.

So, total value of these 10 numbers = (10 × 7) = 70

The grand total of the 100 numbers = (80 + 200 + 180 +70) = 530.

Thus average or arithmetic mean = (Total value of N numbers) ÷ N

Arithmetic mean = 530 ÷ 100 = 5.30

So, arithmetic mean of all these numbers = 5.3