StudyQuest
Sports Math

Baseball

Hitting, pitching, base paths, and classic stats.

6 formulas

Stats

Batting Average

AVG=HABAVG = \frac{H}{AB}

Hits divided by at-bats; the classic hitting rate (shown to three decimals).

Stats

Slugging Percentage

SLG=Total BasesABSLG = \frac{\text{Total Bases}}{AB}

Slugging percentage (SLG): total bases from hits (single=1, double=2, triple=3, home run=4) divided by at-bats.

Stats

Earned Run Average (ERA)

ERA=ER×9IPERA = \frac{ER \times 9}{IP}

Earned run average (ERA): earned runs allowed per nine innings (lower is better for the pitcher).

Trajectory

Batted Ball Flight

h(t)=−12gt2+v0t+h0h(t) = -\frac{1}{2}gt^2 + v_0 t + h_0

After contact, the ball rises and falls on a parabola until it lands or is caught.

Angles & distance

Base Path Diagonal

d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}

Straight-line distance between two bases on a scaled diamond diagram.

Stats

On-Base Percentage (OBP)

OBP=H+BB+HBPAB+BB+HBP+SFOBP = \frac{H + BB + HBP}{AB + BB + HBP + SF}

Share of plate appearances where the batter reaches base (hits, walks, hit-by-pitch; sacrifices in the denominator).

About sports math

Sports math applies real formulas to the games students follow—batting average and ERA in baseball, shooting percentages in basketball, passer rating in football, xG and group-stage points for World Cup Seattle 2026 soccer, plus golf and volleyball stats and the physics of speed, distance, and projectile motion.

Each sport pairs a plain-language formula with a calculator and links to the Formula Library, turning stats and game situations into approachable practice for ratios, percentages, and algebra.