Describing Distributions (Leaving Cert Mathematics): Flashcards
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15 cards from this deck
Three key features of a distribution
Three key features of a distribution
Shape, centre, and spread
Shape: Long tail left, most data right
Shape: Long tail left, most data right
Left-skewed distribution
In left-skewed data, mean vs median?
In left-skewed data, mean vs median?
Mean median
Shape: Long tail right, most data left
Shape: Long tail right, most data left
Right-skewed distribution
In right-skewed data, mean vs median?
In right-skewed data, mean vs median?
Mean median
Shape: Data evenly spread across range
Shape: Data evenly spread across range
Uniform distribution
Shape: Two or more peaks
Shape: Two or more peaks
Bimodal/Multimodal distribution
Measure of centre: arithmetic average
Measure of centre: arithmetic average
Mean
Measure of centre: middle value when ordered
Measure of centre: middle value when ordered
Median
Measure of centre: most frequent value
Measure of centre: most frequent value
Mode
Spread: Difference between max and min
Spread: Difference between max and min
Range
Spread: Range of middle 50% of data
Spread: Range of middle 50% of data
Interquartile Range (IQR)
Spread: Avg distance from mean
Spread: Avg distance from mean
Standard Deviation
Values unusually far from rest of data
Values unusually far from rest of data
Outliers
Formula to calculate range
Formula to calculate range
Maximum Minimum