A. 2,2,3,11,12,12
B. 2,3,4,10,11,12
C. 2,4,6,8,10,12
D. 2,6,7,7,8,12
Please explain to me the answer Thanks so much :D
B. 2,3,4,10,11,12
C. 2,4,6,8,10,12
D. 2,6,7,7,8,12
Please explain to me the answer Thanks so much :D
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A.
mean = 7.
Sum of Squares = sum[(x-mean)^2]
= (2-7)^2 + ..... + (12-7)^2
= 132
B.
mean = 7, SSQ = 100
C.
mean = 7, SSQ = 70
D.
mean = 7, SSQ = 52
Hence, data set A has the most variability.
mean = 7.
Sum of Squares = sum[(x-mean)^2]
= (2-7)^2 + ..... + (12-7)^2
= 132
B.
mean = 7, SSQ = 100
C.
mean = 7, SSQ = 70
D.
mean = 7, SSQ = 52
Hence, data set A has the most variability.
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Usually, we use the dispersion measure, standard deviation, to calculate variability. The formula for standard deviation is:
(((Xi - mean of the data series) ^ 2)/ n) ^ 0.5
Xi = individual data point
n = number of data points in your data series
Alternatively, you can use an excel function stdevp function to do the calculation for you. Anyway, the answer is: "A".
(((Xi - mean of the data series) ^ 2)/ n) ^ 0.5
Xi = individual data point
n = number of data points in your data series
Alternatively, you can use an excel function stdevp function to do the calculation for you. Anyway, the answer is: "A".