the mean of fifteen numbers is 10 and on excluding two numbers the mean becomes 9. which of the following two could be the excluded numbers
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Answer:
Though the alternatives are not given, it is clear that the two numbers that could be excluded should have their sum as 33.
Step-by-step explanation:
Mean = Sum of observations / No. of observations
Sum of observations = Mean * No. of observations
The mean of 15 numbers is 10
Mean = 10
No. of observations = 15
∴ Sum of observations = 15*10 = 150
On removing two observations,
No. of observations = 13
Mean = 9
∴ Sum of observations = 117
Sum of observations of two excluded numbers
= Sum of 15 numbers - Sum of 13 numbers
= 150 - 117
= 33
The two excluded numbers should add to 33
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