Find the mean of the 32 numbers, such that if the mean of 10 of them is 15 and the mean of 20 of them is 11. The last two numbers are 10.
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Solution:
The given mean of 10 numbers = 15
So, Mean of 10 numbers = sum of observations/ no. of observations
15 = sum of observations / 10
Sum of observations of 10 numbers = 150
Similarly, Mean of 20 numbers = sum of observations/ no. of observations
11 = sum of observations / 20
Sum of observations of 20 numbers = 220
Hence, Mean of 32 numbers = (sum 10 numbers+sum of 20 numbers +sum of last two numbers)/ no. of observations
Mean of 32 numbers = (150 +220 + 20 ) / 32 = 390 /32 = 12.188
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