Wed 5/25 Lesson 11 – 7 Learning Objective: To find standard deviation & variance Hw: Pg. 722 #6 – 9, 13, 21
Algebra II
To find standard deviation To find variance
Low standard deviation – data points are close to the mean High standard deviation – data points are spread out over a wider range of values Same units as the data set (Main difference from a variance)
Low variance – data points are close to the mean high variance– data points are spread out over a wider range of values Variance of zero = all data values are identical
AverageAdd all #s and divide by amount of #s How far each number is from the mean Subtract each number from the mean VarianceAverage of the squares of the deviations Standard Deviation How much data deviates from the mean Square root of the variance
1.146, 189, 246, 178, 203 = x c (sum) Standard dev
1.146, 189, 246, 178, X X X XX 2 standard deviations from the mean
Mean: Variance: Standard Deviation: Mean within 1 SD All/15 within 2 SD x
Mean: Variance: Standard Deviation: within 1 SD 14 within 2 SD All/15 within 3 SD x