Module 2 - Probability: Concepts & Distributions Flashcards
Normal Distribution
- Bell curve
- Bigger values in the middle
- Sides are mirror images
Histogram
Frequency diagram that shows the distribution of the results
n
-Total number in sample
Range
- The difference between the largest and smallest observation values
- Measures variability & shows how spread the data is
Median
- Splits values into 2 groups when they are ordered lowest to highest
- If the number of values is even it’s the midpoint between to 2 middle values
Mode
The value that occurs most frequently
Mean
Average
When the data has a symmetrical distribution…
The mean, the mode, & the median are the same
In skewed distributions
- The mean lies toward the direction of the skew
- The mean is between the median and the tail
Weighted average
The mean when you combine 2 different samples to evaluate the same variable
Bimodal frequency distribution
Distribution has 2 distinct mounds in the distribution
Deviations
- The difference between any observed value & the mean
- Broken into sections of equal distance from the mean
Variance
Average of the squared deviations
Empirical Rule
If the histogram of the data is approximately bell shaped:
- 68% w/in 1 SD
- 95% w/in 2 SD
- 99% w/in 3 SD