What is the notation “S”
Sample standard deviation
What is the notation “σ”
Population standard deviation
How does one calculate variance given a dataset
Find average of sum of squares (mean subtracted from values, values squared, add squared values (sum of squares), divide by amount of values)
How to find the standard deviation for a sample
Mean subtracted from each score, square values, add squared values, divide by degrees of freedom (Number of values minus one), square root
How to find the standard deviation for a population
Mean subtracted from each score, square values, add squared values, divide by number of values, square root
How is the range found
1: Lowest score subtracted from highest score
2: Lowest score and highest score (This to this (number-number))
Why is the range an imprecise and unreliable measure of variability
The range is based on two scores therefore not all scores are represented
What does the standard deviation approximate (how is it interpreted)
Average distance from the mean for scores in a dataset
How is the mean found when given n (or N) and Σ𝑥 (without a dataset provided)
Divide sum Σ𝑥 by the count n (or N)
How is the variance found when given n (or N), Σ𝑥 and sum of squares without a dataset
Divide sum of squares by n
How is the standard deviation found when given n (or N) and the variance (without a dataset)
Find square root of varience
What is the imact on the mean and standard deviation when mutiplying/dividing a constant value from the dataset
Mean: Gets multiplied or divided by that same constant
Standard Deviation: Multiplied by the absolute value of the constant
What is the impact on the mean and standard deviation when adding/subtracting a constant value from the dataset
Mean: Shift by that exact constant amount
Standard Deviation: No change
