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The mean of three numbers is 10. The mean of other four numbers is 12. Find the mean of all the numbers.

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Mean of 3 numbers = 10

Mean of 4 numbers = 12

Mean = Sum of observations/ Number of observations

10 = Sum of 3 observations/3

⇒ Sum of 3 observations = 30 ........ (1)

and 12 = Sum of 4 observations/4

⇒ Sum of 4 observations = 48 ........ (2)

From (1) and (2), we get

Sum of 7 observations = 30 + 48 = 78

Required mean = Sum of 7 observations/7

= 78/7

= 11.14

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