Describing Distributions Flashcards
What are the 4 requirements for describing a distribution?
Center, Shape, Spread, Outliers
Center
Mean, Median or Mode
Measures of Spread
How far apart the numbers are in relation to each other
Range, IQR, Variance and Standard Deviation
Shape
Symmetric, normal, skewed left, skewed right, uniform, bimodal
Box Plot
A graph of the 5 number summary
A modified box plot shows if the data set has outliers.
Stemplot
A graph for quantitative data. Each value of the data set is represented by a stem and a leaf. Each leaf may only be 1 digit. Stem plots may have rounded values in place of the actual data.
Histogram
Common distribution for one variable
![](https://s3.amazonaws.com/brainscape-prod/system/cm/094/967/665/a_image_thumb.png?1659424148)
Dot Plot
A simple graph for small data sets
![](https://s3.amazonaws.com/brainscape-prod/system/cm/094/967/666/a_image_thumb.png?1659424149)
Mean
Average
![](https://s3.amazonaws.com/brainscape-prod/system/cm/094/967/669/a_image_thumb.jpg?1659424149)
Median
The middle number in a data set when the numbers are in order.
Sometimes called Q2 or MED
Mode
Most common value within the data
Outliers
A value that doesnt follow the general trend of the data.
Upper limit = Q3 + 1.5(IQR)
Lower limit = Q1 - 1.5(IQR)
Standard Deviation
A measure of spread. The average distance from the mean.
![](https://s3.amazonaws.com/brainscape-prod/system/cm/094/967/677/a_image_thumb.jpg?1659424149)
Range
A measure of spread
Maximum-Minimum
5 Number Summary
Used in box plots
Min-Q1-Median-Q3-Max