Free Throw Rate Attempted Calculator

Compute actual basketball FTA/FGA rates, preserving ratios above one; made-FT/FGA convention explicitly excluded, distinct from true shooting.

Description

Free-throw attempt rate uses FTA/FGA.

Free-throw attempt rate uses FTA/FGA. It is a ratio that can exceed one and differs from made-free-throw conventions.1

The returned values include Observed free throw attempt rates, Pooled free throw attempt rate. The How section below explains the calculation, input rules and interpretation.

When to use Free Throw Rate Attempted Calculator

Use Free Throw Rate Attempted Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No made-FT convention or true-shooting calculation is inferred.

Prepare the observed race, match or training records and the stated units. Supply independently verified rule editions, calibration tables and targets where requested.

How to use Free Throw Rate Attempted Calculator and understand its results

  1. Prepare the observed race, match or training records and the stated units. Supply independently verified rule editions, calibration tables and targets where requested.
  2. Enter observedFreeThrowAttempts, observedFieldGoalAttempts using the field table and calculation rules, then run the tool.
  3. Read observedFreeThrowAttemptRates, pooledFreeThrowAttemptRate. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
observedFreeThrowAttemptsObserved free throw attemptslist of numberRequired
observedFieldGoalAttemptsObserved field goal attemptslist of numberRequired

Enter aligned nonempty integer FTA 0–1000000 and FGA 1–1000000. Return record and pooled ratios.

rates=FTA/FGA; pooled=sum(FTA)/sum(FGA)

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
observedFreeThrowAttemptRatesObserved free throw attempt rateslist of number
pooledFreeThrowAttemptRatePooled free throw attempt ratenumber
json
{
  "input": {
    "observedFreeThrowAttempts": [
      10,
      20
    ],
    "observedFieldGoalAttempts": [
      20,
      20
    ]
  },
  "output": {
    "observedFreeThrowAttemptRates": [
      0.5,
      1
    ],
    "pooledFreeThrowAttemptRate": 0.75
  }
}

Limitations and assumptions

No made-FT convention or true-shooting calculation is inferred.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Basketball True Shooting % Calculator: True shooting estimates points per two shot-attempt equivalents. Free-throw weighting is an explicit approximation. For a complementary task, use Basketball eFG% Calculator: Effective field-goal percentage gives a made three an extra half made-shot equivalent. It excludes free throws.

References

  1. Free Throw Rate Attempted Calculator — tool.io

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