the mean of 6 observation is 15. four of the observation are 10,18,23 and 9. of the remaining two observation one is four times the other. find them
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Given that:
The mean of 6 observation is 15.
Four of the observation are 10, 18, 23 and 9.
The remaining two observation one is four times the other.
To Find:
What are the remaining two observations?
Let us assume:
Let the one observation be x.
Other observation = 4x
Formula used:
Mean = (Sum of observations)/(Number of observations)
Finding the remaining two observations:
According to the question.
⟶ 15 = (10 + 18 + 23 + 9 + x + 4x)/6
Cross multiplication.
⟶ 10 + 18 + 23 + 9 + x + 4x = 15 × 6
⟶ 60 + 5x = 90
⟶ 5x = 90 - 60
⟶ 5x = 30
⟶ x = 30/5
⟶ x = 6
Remaining observations are:
One observation = x = 6
Other observation = 4x = (4 × 6) = 24
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