Compute the standard deviation of the following numbers: 5, 6, 4, and 2
1.7
To compute the standard deviation, we first find the mean: Mean = (5 + 6 + 4 + 2) / 4 = 17 / 4 = 4.25 Next, we find the squared differences from the mean: (5 - 4.25)² = 0.5625 (6 - 4.25)² = 3.0625 (4 - 4.25)² = 0.0625 (2 - 4.25)² = 5.0625 Now, calculate the variance: Variance = (0.5625 + 3.0625 + 0.0625 + 5.0625) / 4 = 8.75 / 4 = 2.1875 Standard deviation = √2.1875 ≈ 1.7. Therefore, the correct answer is option 1, "1.7".
Important Questions from Statistical Averages
Let X be a real-valued random variable with E[X] and E[X2] denoting the mean values of X and X2, respectively. The relation which always holds is
Two continuous random variables X and Y are related as
Y = 2X + 3
Let \(\sigma_X^2\) and \(\sigma_Y^2\) denote the variances of X and Y, respectively. The variances are related as
