the mean of 11 observation is 50.if the mean of first six observations is 49 and that of last observations is 52,then what will be the sixth observation?(the answer should be explained)
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Given that :Average = 50
and total observations = 11
We know that Avg = Sum/ total
So, total sum of 11 numbers = 550
Let 6th number be x
ATQ
Sum of first 5 numbers = 49*6 - x = 294 - x
Sum of last 5 numbers = 52*6 - x = 312 - x
So 6th number x = 550 - (294 - x) - (312 - x) = 2x - 56
x = 2x - 56
⇒ x = 56
and total observations = 11
We know that Avg = Sum/ total
So, total sum of 11 numbers = 550
Let 6th number be x
ATQ
Sum of first 5 numbers = 49*6 - x = 294 - x
Sum of last 5 numbers = 52*6 - x = 312 - x
So 6th number x = 550 - (294 - x) - (312 - x) = 2x - 56
x = 2x - 56
⇒ x = 56
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I want to know my answer anybody please solve this question of 5 rational numbers between 3/5 and 2/3
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