Answer:
The sample variance is approximately 32.58, and the sample standard deviation is approximately 5.71.
Explanation:
Mean = (17 + 10 + 2 + 6 + 9) / 5 = 44 / 5 ≈ 8.8
(17 - 8.8)^2 ≈ 74.76
(10 - 8.8)^2 ≈ 1.44
(2 - 8.8)^2 ≈ 46.24
(6 - 8.8)^2 ≈ 7.84
(9 - 8.8)^2 ≈ 0.04
Sum ≈ 74.76 + 1.44 + 46.24 + 7.84 + 0.04 = 130.32
Sample Variance = Sum / (n - 1) = 130.32 / (5 - 1) ≈ 32.58
Sample Standard Deviation = √(Sample Variance) ≈ √32.58 ≈ 5.71 (rounded to two decimal places)
So, the sample variance is approximately 32.58, and the sample standard deviation is approximately 5.71.