Statistics for Students Cheat Sheet

Last Updated: November 21, 2025

Measures of Central Tendency

Item Description
Mean Average: sum / count
Median Middle value when sorted
Mode Most frequent value

Measures of Spread

Item Description
Range Max - Min
Variance Average squared deviation
Standard Deviation √Variance
IQR Q3 - Q1 (middle 50%)

Probability

P(A) = favorable / total
Basic probability
P(A and B) = P(A) Γ— P(B)
Independent events
P(A or B) = P(A) + P(B) - P(A and B)
Union
Complement
P(not A) = 1 - P(A)

Hypothesis Testing

Null hypothesis (Hβ‚€)
No effect/difference
Alternative (H₁)
There is an effect
p-value
Probability of result if Hβ‚€ true
Significance level
Usually 0.05
Reject Hβ‚€
If p < 0.05
πŸ’‘ Pro Tip: Correlation does not imply causation!
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