First, find the mean:
(44 + 46 + 33 + 10 + 50 + 27) / 6
210/6
35
mean = 35
Now, find the variance:
Variance = Average of squared differences from the mean
Start with (44, 46, 33, 10, 50, 27)
Now subtract the mean (35) from each number, giving us (9, 11, -2, -25, 15, -8). That's the differences from the mean.
Now square those, giving us (81, 121, 4, 625, 225, 64). That's the squared differences from the mean.
Now average those: (81 + 121 + 4 + 625 + 225 + 64) / 6 = 1120/6 = 186.67
(approximate, actual value is 186.66666, with 6's forever)
Variance = 186.67
Standard deviation = square root of the variance
SD = sqrt(186.67)
SD = 13.66