Health & Medicine · Fitness · Performance Metrics
Standing Long Jump Calculator
Evaluate your standing long jump distance, calculate a fitness score, and compare your result against age- and sex-based normative benchmarks.
Calculator
Formula
The primary output is the measured jump distance d (m). A relative jump index is computed as d divided by the athlete's height (body lengths). Estimated peak lower-body power uses Harman et al.'s equation: Power (W) = 61.9 × jump height (cm) + 36.0 × body mass (kg) − 1822, adapted here with jump distance converted via ballistic approximation for the standing broad jump. t is the approximate flight time derived from projectile motion; m is body mass in kg; g = 9.81 m/s²; d is jump distance in metres.
Source: Harman et al. (1991). Estimation of human power output from vertical jump. Journal of Applied Sport Science Research, 5(3), 116-120. Normative data: Cooper Institute FitnessGram Standards; NSCA Essentials of Strength Training and Conditioning, 4th ed.
How it works
The calculator's core measure is simply the recorded jump distance in centimetres. This distance is then divided by your standing height to produce a jump-to-height ratio (also called body lengths), which normalises performance for athletes of different statures. A ratio above 1.30 for adults generally indicates excellent explosive power.
Estimated peak lower-body power is derived from Harman et al.'s (1991) validated equation. Because the standing long jump is primarily horizontal, the calculator first uses a ballistic (projectile) approximation — assuming a 30-degree take-off angle — to estimate the equivalent vertical jump height, then applies the power equation: Power (W) = 61.9 × jump height (cm) + 36.0 × body mass (kg) − 1822.
Fitness ratings (Poor → Below Average → Average → Good → Excellent) and approximate percentile scores are derived from normative tables published by the NSCA and the Cooper Institute FitnessGram programme, stratified by age group and sex. These benchmarks are widely used in school fitness testing, military selection, and sports science research.
Worked example
Example: A 25-year-old male, 178 cm tall, 75 kg, jumps 210 cm.
- Jump distance (m): 210 ÷ 100 = 2.10 m
- Jump-to-height ratio: 210 ÷ 178 = 1.18 body lengths
- Estimated jump height: Using a 30° take-off angle, v₀² = (9.81 × 2.10) / sin(60°) ≈ 23.77 m²/s², jump height = (v₀² × sin²30°) / (2 × 9.81) ≈ 30.3 cm
- Estimated peak power: 61.9 × 30.3 + 36.0 × 75 − 1822 = 1875 + 2700 − 1822 ≈ 2753 W
- Fitness rating: For males aged 20–29, Good = 221 cm, Average = 191 cm. 210 cm falls in the Average band (191–221 cm).
- Percentile: Interpolating between Average (50th) and Good (70th): 50 + 20 × (210 − 191) / (221 − 191) ≈ 63rd percentile.
Limitations & notes
The power estimate assumes a 30-degree take-off angle, which is a simplification; actual take-off angles vary between athletes and affect the result. The Harman equation was derived from vertical jump data and is adapted here via a ballistic approximation, introducing additional estimation error. Normative tables are aggregated from multiple published sources and reflect general population norms; sport-specific norms (e.g. for elite sprinters or basketball players) will differ substantially. This calculator is not a substitute for professional fitness assessment or medical advice. Results may be less accurate for children under 8 or adults over 70, where published normative data are sparse.
Frequently asked questions
What is a good standing long jump distance for an adult male?
For adult males aged 20–29, a jump of 191–220 cm is considered Average, 221–240 cm is Good, and 241 cm or more is Excellent according to NSCA normative standards. Elite male athletes in power sports routinely exceed 260 cm.
What is a good standing long jump distance for an adult female?
For adult females aged 20–29, a jump of 146–175 cm is Average, 176–195 cm is Good, and 196 cm or more is Excellent. Elite female sprinters and jumpers often exceed 210 cm.
How is the standing long jump different from the vertical jump?
The vertical jump measures purely upward explosive power and height gained, whereas the standing long jump measures horizontal distance covered from a stationary two-foot take-off. Both tests reflect lower-body explosive strength, but the long jump also involves horizontal momentum and take-off angle optimisation.
How should I perform the standing long jump test correctly?
Stand behind the take-off line with feet shoulder-width apart. Bend your knees, swing your arms back, then explosively jump forward, landing on both feet simultaneously. Measure the distance from the take-off line to the back of the nearest heel. Perform 2–3 trials and record the best distance. Avoid any preliminary steps or hops before the jump.
Why does my jump-to-height ratio matter?
The jump-to-height ratio (jump distance ÷ body height) normalises performance across athletes of different sizes, making it a fairer comparison than raw distance. A ratio of 1.0 means you jumped exactly your own body length. Most untrained adults score between 0.90 and 1.20; trained athletes often exceed 1.30.
Can I use this calculator to track training progress?
Yes. The standing long jump is highly responsive to plyometric and strength training. Testing every 4–6 weeks under standardised conditions (same time of day, warm-up protocol, footwear, and surface) will give you reliable progress data. Even small improvements in centimetres reflect meaningful gains in lower-body power.
How accurate is the estimated peak power output?
The power estimate is derived from Harman et al.'s (1991) regression equation, which was validated against force-plate measurements. Because it is adapted here for the standing long jump via a projectile approximation, individual error can be ±10–15%. Use it as a rough guide rather than a precise measurement; a laboratory force plate remains the gold standard for power assessment.
Last updated: 2025-01-30 · Formula verified against primary sources.