SAT Math · Study & Practice
Statistics Fundamentals
Statistics is a core part of the SAT Problem-Solving and Data Analysis domain. This chapter covers the measures of center and spread — mean, median, mode, range, quartiles and the interquartile range. Read each topic, try the problems with the hint ladder, then take the 8-question topic test.
Topics
1
Mean
Start →
2
Median
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3
Mode
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4
Range
Start →
5
Quartiles
Start →
6
Interquartile Range
Start →
Chapter test
Formula Reference Sheet
This chapter
Center
| Mean | sum of values ÷ number of values |
|---|---|
| Median | middle value of the ordered list |
| Mode | the most frequent value |
Spread
| Range | maximum − minimum |
|---|---|
| Q1, Q3 | medians of the lower and upper halves |
| Interquartile range | IQR = Q3 − Q1 |
Digital SAT reference
Area & Circumference
| Circle area | A = πr² |
|---|---|
| Circle circumference | C = 2πr |
| Rectangle | A = ℓw |
| Triangle | A = ½ b h |
Volume
| Rectangular box | V = ℓwh |
|---|---|
| Cylinder | V = πr²h |
| Sphere | V = 4⁄3 πr³ |
| Cone | V = 1⁄3 πr²h |
| Pyramid | V = 1⁄3 ℓwh |
Right triangles
| Pythagorean theorem | a² + b² = c² |
|---|---|
| 30°–60°–90° | sides x : x√3 : 2x |
| 45°–45°–90° | sides s : s : s√2 |
Constants
| Degrees in a circle | 360° |
|---|---|
| Radians in a circle | 2π |
| Angles of a triangle | sum = 180° |
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