Answer:
Step-by-step explanation:
To find the sample variance and standard deviation, we need to first find the mean of the sample, and then use that to calculate the variance and standard deviation.
The mean of the sample is:
(15 + 37 + 23 + 18 + 17 + 10) / 6 = 16
Next, we'll find the difference between each value and the mean, square those differences, and divide the sum of the squared differences by the sample size minus one (n - 1):
(15 - 16)^2 = 1
(37 - 16)^2 = 361
(23 - 16)^2 = 49
(18 - 16)^2 = 4
(17 - 16)^2 = 1
(10 - 16)^2 = 36
The sum of the squared differences is: 1 + 361 + 49 + 4 + 1 + 36 = 452
The sample variance is: 452 / (6 - 1) = 452 / 5 = 90.4
Finally, the sample standard deviation is the square root of the sample variance:
The sample standard deviation is: sqrt(90.4) = 9.49
So, the sample variance is 90.40 and the sample standard deviation is 9.49.