Answer:
False
Step-by-step explanation:
Standard deviation (SD) = 3
Sample size (n) = 10
The standard deviation of a sample is determined as the square root of the sum of the squared deviations from the sample mean (S) divided by number of degrees of freedom (n-1). The sum of the squared deviations is:
[tex]SD= \sqrt{\frac{S} {n-1}}\\ 3= \sqrt{\frac{S} {10-1}}\\S=9*9 = 81[/tex]
The sum of the squared deviations from the sample mean is 81. Therefore, the statement is false.
