## Calculator

## What is Earned Run Average?

Earned Run Average (ERA) is a baseball metric used put a pitcher’s number of runs earned while he was pitching in comparison to the number of innings pitched.

It is intended to be a more accurate representation of a pitcher’s abilities than a win/loss ratio while still putting the statistic in the perspective of a full 9 innings.

## How to calculate ERA

In Baseball, earned run average is calculated as follows:

$latex \text{Earned Run Average} = \frac{\text{Earned Runs Allowed}}{\text{Innings Pitched}} \times \text{Innings in a Regulation Game}$

Each out that is pitched counts as 1/3 of an inning.

Most professional level games are nine innings. Softball games are typically seven innings, and little league games are often six or seven innings.

An ERA is listed to 2 decimal points.

## Example

If a pitcher has pitched 98 innings and 1 out and has allowed 28 Earned Runs, then:

ERA = (28 / (98 + 1/3)) x 9

ERA = (28 / 98.333) * 9

ERA = 0.28475 * 9

ERA = 2.5627

Therefore, the pitcher’s ERA is 2.56

## What qualifies as an “earned run”?

An earned run is any run that scores while the pitcher is on the mound that is no an unearned run. An “unearned run” is considered to happen in situations such as:

- The batter reaches base on an error
- The batter reaches base on a passed ball
- A base-runner scores after the 3rd out except for an error being made (except for catcher’s interference)
- A batter hits a foul ball that is dropped by a fielder in error and later scores a run in that inning. In this case “how” the batter reached base is no longer relevant (as they would have been out if not for the fielder’s mistake)
- A batter reaches base on a fielder’s choice when a runner who reached base on an error is eliminated
- A runner advances on an error or passed ball and scores on a play that otherwise would not have meant they would have scored

If the run is “unearned” but as a responsibility of the pitcher’s in-fielding, then it is still considered “unearned.”

If there is a question of whether or not the run was “earned” or not, the benefit of the doubt is in the pitcher’s favor.

## What counts as an “inning pitched”?

An inning pitched is each full inning (3 outs) that the pitcher has been on the mound.

For partial innings (for example the pitcher pitched five innings and two outs) each out is counted as 1/3 of an inning – in this case, it would be 5 2/3 innings pitched.

## History

ERA as a measurement of a pitcher’s effectiveness became popular around the 1900s.

For a long time, a pitcher’s effectiveness was determined by their win/loss ratio (primarily because pitchers were expected to pitch a full game).

As relief pitching became more popular and pitchers no longer regularly pitched full games, the concept of a “weighted” run to ratio average became more popular.

## Resources

- Wikipedia – Earned Run Average
- Wikipedia – Earned Run
- Major League Baseball – Official Rules: 10.16 – Earned Runs and Runs Allowed
- ESPN – MLB Team Stats – Pitching
- Sporting Charts – Earned Run Average – ERA
- NCAA – Earned Run Average Leaders
- iSport – Softball – How to calculate a pitcher’s earned run average in softball
- ESPN – Fantasy Baseball – Elements of ERA
- Baseball-Reference – Career Leaders & Records for Earned Run Average
- NCAA – Official Baseball Statistics Rules
- NCAA – Official Softball Statistics Rules
- NCAA – The Official NCAA Baseball and Softball Scorebook
- NFHS – Statistician’s Manual
- International Baseball Federation – Scoring Manual

## Baseball Statistics Calculators

- At Bats per Home Run (ABHR)
- Batting Average (BA)
- Batting Average on Balls in Play (BABIP)
- Walks per 9 Innings (BB/9)
- Walk to Strikeout Ratio (BB/K)
- Batting Park Factor (BFP)
- Component ERA (CERA)
- Defense Independent Component ERA (DICE)
- Earned Run Average (ERA)
- Equivalent Average (EqA)
- Fielding Percentage (FCPT)
- Fielding Percentage (FIP)
- Ground Ball / Fly Ball (GB/FB)
- Ground Outs / Fly Outs (GO/AO)
- Gross Production Average (GPA)
- Hits per 9 Innings (H/9)
- Innings Pitched per Game (IP/GS)
- Isolated Power (ISO)
- Strike to Walk Ratio (K/BB)
- Left on Base Percentage (LOB%)
- On Base Percentage (OBP)
- On Base Plus Slugging (OBPS)
- Opponents Batting Average (OBA)
- Plate Appearances per Strikeout (PA/SO)
- Power Finesse Ratio (PFR)
- Pythagorean Expectation
- Run Average (RA)
- Runs Created (RC)
- Range Factor (RF)
- Runs Produced (RP)
- Stolen Base Percentage (SB%)
- Slugging Percentage (SLG)
- Save Percentage (SV%)
- Total Average (TA)
- Total Bases (TB)
- Total Chances (TC)
- Times on Base (TOB)
- Walks and Hits per Inning Pitched (WHIP)
- Extrapolated runs (XR / XRR / XRB)