Curriculum
Statistics — Third Secondary
Unit 1: Correlation and Regression
0/4
Unit 2: Advanced Statistical Measures
0/2
Unit 3: Probability
0/2
Unit 4: Random Variables
0/4
Unit 5: The Normal Distribution
0/2
Text lesson
Advanced Measures of Dispersion
Advanced Measures of Dispersion
Effect of adding a constant or multiplying by a constant
Effect of adding a constant or multiplying by a constant
- If the new values are y = kx + b
- where k and b are fixed numbers
- then:
- The new mean is ȳ = k x̄ + b.
- The new standard deviation is σy = |k| × σx. Adding the number b does not change the spread, but multiplying the values by k multiplies the standard deviation by |k|.
- The new variance is σ²y = k² × σ²x.
Advanced Measures of Dispersion · 4 / 7