7.Confirmed Measles Cases The data show a sample of the number of confirmed measles cases over a
recent 12-year period. Find the range, variance, and standard deviation for the data.
212 63 71 140 43 55 66 37 56 44 116 86
Answer)
Range = highest data point - lowest data point
Range = 212 - 37 = 175
To find variance and s.d, we need to first find mean
Mean = sum of the observations/number of observations.
Mean =(212 + 63...)/(12) = 82.4
Now we need to subtract mean from each and every observation and then we need to take the square of the results and finally we need to add them all.
(212 - 82.4)^2 + (63 - 82.4)^2... = 28566.9
Now we need to divide this by n-1 that is by 11 and take the square root.
S.d = √{28566.9/11} = 50.9607
Variance = s.d^2 = 2596.99
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