What is the population standard deviation (σ) for this set of data? 42, 50, 45, 37

A) 5.45
B) 43.50
C) 22.25
D) 4.72

The population standard deviation (σ) is calculated by taking the square root of the variance. The variance is the average of the squared differences from the Mean. For the data set 42, 50, 45, 37:1. Calculate the mean: (42 + 50 + 45 + 37) / 4 = 43.52. Calculate each score's difference from the mean, square that difference, and find the average of those squared differences (variance): - (42 - 43.5)^2 = 2.25 - (50 - 43.5)^2 = 42.25 - (45 - 43.5)^2 = 2.25 - (37 - 43.5)^2 = 42.25 - Average of these values (variance) = (2.25 + 42.25 + 2.25 + 42.25) / 4 = 22.253. Take the square root of the variance to find the standard deviation: √22.25 ≈ 4.72