. 46, 42, 42, 53, 47
The ages (in years) of the 5 doctors at a local clinic are the following. 46, 42, 42, 53, 47
Assuming that these ages constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places.
(If necessary, consult a list of formulas.)
population Standard deviation (σ): 4.0497
EXPLANATION:-
to find out population standard deviation we have to use following formula
standard deviation (σ) =√{ Sums of squares of deviations from mean/N }
=√{ Σ(xi - )2/N}
it means we have to find out mean of population data.
Sum = Σxi = 46+42+... +53+47 = 230
Mean = Σxi/N = 46+42+ .. +53+47/5 = 46
Sums of squares = Σ(xi - x̄)^2= (46 - 46) 2+(42 - 46) 2+ .. +(53 - 46) 2 +(47 - 46) 2
= 82
variance σ2 = Σ(xi - x̄)2 /N
= 82/5
= 16.4
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