What standard deviation method in continous series?
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Calculate the variance and standard deviation of the following continuous frequency distributionClass interval 30 - 40 40 - 50 50 - 60 60 - 70 70 - 80 ...
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When data is given based on ranges alongwith their frequencies. Following is an example of continous series:
Items 0-5 5-10 10-20 20-30 30-40
Frequency 2 5 1 3 12
In case of continous series, a mid point is computed as lower−limit+upper−limit2 and Standard deviation is computed using following formula.
Formula
σ=∑ni=1fi(xi−x¯)2N−−−−−−−−−−√
Where −
N = Number of observations = ∑f.
fi = Different values of frequency f.
xi = Different values of mid points for ranges.
x¯ = Mean of mid points for ranges.
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