if a variable assumes the value 1,2,3....5 with frequencies 1,2,3,...5 what is the airthemetic mean?
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Step-by-step explanation:
I’m working under the assumption that the frequencies are in a corresponding order to the values
total number of observations = 1 + 2 + 3 + 4 + 5 = 15
weighted average = 1(1/15) + 2(2/15) + 3(3/15) + 4(4/15) + 5(5/15) = 3.666666
{note: it simplifies to (1^2 + 2^2 … 5^2)/15}
The arithmetic mean is 3.666666
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