How To Calculate A Rubikd Cube Average

Calculate your official WCA average of 5 with precision. Enter your solve times below.

Expert Guide: How to Calculate a Rubik’s Cube Average Like a Pro

The Rubik’s Cube average calculation is a standardized method used in official competitions to determine a cuber’s performance across multiple solves. Whether you’re preparing for a World Cube Association (WCA) competition or tracking personal progress, understanding how to calculate your average correctly is essential for accurate performance measurement.

Why Averages Matter in Speedcubing

In competitive speedcubing, single solves can be affected by luck (good or bad scrambles), nerves, or temporary focus lapses. Averages provide a more reliable measure of a cuber’s true skill level by:

• Reducing the impact of outliers (exceptionally fast or slow solves)
• Providing consistency metrics over multiple attempts
• Allowing fair comparison between cubers across different competitions
• Helping identify true progress in solving techniques

The Official WCA Average of 5 Calculation Method

The WCA uses a specific protocol for calculating averages from 5 solves:

1. Perform 5 consecutive solves under competition conditions
2. Remove the fastest and slowest times (the “best” and “worst” solves)
3. Calculate the arithmetic mean of the remaining 3 solves
4. Round the result to the nearest hundredth of a second

WCA Rounding Rules for Different Event Types

Event Type	Rounding Precision	Example
3×3, 2×2, 4×4, 5×5, 6×6, 7×7	Nearest hundredth (0.01s)	12.345 → 12.35
3BLD, 4BLD, 5BLD	Nearest second	2:34.5 → 2:35
Megaminx, Pyraminx, Skewb	Nearest hundredth (0.01s)	45.678 → 45.68
Clock	Nearest hundredth (0.01s)	18.999 → 19.00

Mathematical Breakdown of Average Calculation

Let’s examine the mathematical process with a concrete example. Suppose you have the following 5 solves:

• 12.34 seconds
• 14.56 seconds
• 13.78 seconds
• (DNF) – Did Not Finish
• 15.67 seconds

Important Note: If any solve is a DNF (Did Not Finish), the entire average is recorded as DNF according to WCA regulations. This emphasizes the importance of consistency in competition.

For valid solves without DNFs:

1. Sort the times: 12.34, 13.78, 14.56, 15.67
2. Remove best (12.34) and worst (15.67)
3. Remaining times: 13.78, 14.56
4. Calculate mean: (13.78 + 14.56) / 2 = 14.17
5. Wait – this reveals an important point! With 5 solves, we actually keep 3 after removing best and worst. Let me correct this with proper 5-solve averaging:

With 5 solves (all valid):

1. Original solves: 12.34, 14.56, 13.78, 11.23, 15.67
2. Sorted: 11.23, 12.34, 13.78, 14.56, 15.67
3. Remove best (11.23) and worst (15.67)
4. Remaining: 12.34, 13.78, 14.56
5. Calculate mean: (12.34 + 13.78 + 14.56) / 3 = 13.56
6. Final average: 13.56 seconds

Statistical Measures Beyond the Average

While the average of 5 is the official competition metric, serious cubers track additional statistics:

Advanced Speedcubing Statistics

Metric	Calculation	Purpose	Example Value
Mean	Sum of all solves / number of solves	Shows central tendency including outliers	13.52s
Standard Deviation	√(Σ(xi – μ)² / N)	Measures consistency (lower = more consistent)	1.45s
Best Single	Minimum value in solve set	Shows peak performance	11.23s
Worst Single	Maximum value in solve set	Identifies areas for improvement	15.67s
Ao12/Ao50	Average of 12/50 solves (remove 1/2 best/worst)	Long-term performance tracking	12.89s

Common Mistakes in Average Calculation

Avoid these frequent errors when computing your averages:

• Incorrect rounding: Always round to hundredths for standard events. Many cubers mistakenly round to tenths.
• Wrong solve exclusion: Remember to remove exactly one best and one worst solve from 5 total solves.
• DNF handling: Any DNF in the 5 solves makes the entire average DNF – this catches many beginners.
• Time format errors: Ensure all times are in the same unit (typically seconds) before calculations.
• Manual calculation errors: Simple arithmetic mistakes can lead to incorrect averages.

Tools and Methods for Tracking Averages

Serious cubers use various tools to track their progress:

1. Physical timers: Stackmat timers are the gold standard for competition-style solving.
2. Mobile apps: Apps like Cube Timer, Twisty Timer, or CS Timer offer automatic average calculations.
3. Spreadsheets: Many cubers maintain detailed spreadsheets with all their solve data.
4. Online tools: Websites like cubing.com offer advanced analysis features.
5. Smart cubes: Bluetooth-enabled cubes like the Gan iCarry or Gocube can automatically record and analyze solves.

Improving Your Averages: Training Strategies

To systematically improve your averages:

• Consistent practice: Daily solving with proper warm-ups is essential.
• Algorithm training: Focus on slowest steps in your solving process.
• Lookahead practice: Develop the ability to plan several moves ahead.
• Finger trick mastery: Smooth, efficient turning reduces solve times.
• Full solve analysis: Record and review your solves to identify patterns.
• Competition simulation: Practice under timed, pressure conditions.
• Physical fitness: Hand exercises and ergonomics can prevent injuries.

The Psychology of Averaging in Competitions

Competition averages often differ from practice averages due to psychological factors:

• Nervousness: First competition solves are often 10-15% slower than practice.
• Pressure handling: Learning to perform under observation is a skill itself.
• Adrenaline effects: Can both help (faster turns) and hurt (more mistakes).
• Judging interactions: Communication with judges can be distracting.
• Environment factors: Different cubes, stacks, and surfaces affect performance.

Experienced cubers recommend:

• Attending competitions as a spectator first to understand the environment
• Developing pre-solve routines to maintain consistency
• Practicing with the exact same cube you’ll use in competition
• Learning to reset mentally after a bad solve

Authoritative Resources on Cube Averaging

For official regulations and advanced statistical analysis:

• WCA Official Regulations (Article 9: Solved State, Article 10: Time Limits) – The definitive source for competition rules including averaging procedures.
• UCLA Mathematics Department – Rubik’s Cube Group Theory (PDF) – Mathematical foundations behind cube solving and performance metrics.
• NIST Statistical Reference Datasets – For advanced statistical analysis of solve times and distributions.

Advanced Topics in Cube Averaging

For cubers looking to dive deeper into performance analysis:

Weighted Averages

Some advanced cubers use weighted averaging systems where recent solves count more heavily than older ones. This helps track current performance trends more accurately.

Moving Averages

A moving average (e.g., 12-solve rolling average) smooths out short-term fluctuations and reveals longer-term trends in your solving ability.

Percentile Analysis

By calculating what percentile each solve falls into compared to your personal best, you can identify how often you’re performing at your peak level.

Split Time Analysis

Breaking down solves into phases (cross, F2L, OLL, PLL) and analyzing each segment’s time can reveal specific areas needing improvement.

Regression Analysis

Statistical regression can help predict future performance based on historical data and practice patterns.

Common Questions About Cube Averaging

Why does WCA use average of 5 instead of mean of 5?

The average of 5 (removing best and worst) is more resistant to outliers than a simple mean. In high-pressure competition settings, a single lucky or unlucky solve shouldn’t dominate the result. This method better represents a cuber’s consistent performance level.

How do plus-two penalties affect averages?

Plus-two penalties (+2) are added to the solve time before averaging. For example, a 12.34 second solve with a +2 becomes 14.34 seconds for averaging purposes. This penalty is typically given for minor infractions like incorrect execution or inspection violations.

What’s the difference between “mean” and “average of 5”?

The mean is the arithmetic average of all solves (sum divided by count). The “average of 5” is a trimmed mean where we first remove the best and worst performs before calculating the mean of the remaining three solves. The average of 5 is always equal to or higher than the mean for the same set of solves.

How do DNFs affect my competition ranking?

In WCA competitions, DNFs are considered the worst possible result. When calculating rankings:

• If you have one or more DNFs in your 5 solves, your entire average is DNF
• In multi-round events, a DNF average typically eliminates you from advancing
• DNFs are sorted after all valid results in final rankings

Can I use my phone’s timer for official averages?

No. WCA regulations require the use of official Stackmat timers for all competition solves. Phone timers may be used for practice but aren’t acceptable for official results due to potential inaccuracies and lack of standardization.

Conclusion: Mastering Your Averages

Understanding how to properly calculate and interpret your Rubik’s Cube averages is fundamental to tracking your progress as a speedcuber. Whether you’re a beginner working toward your first sub-20 average or an advanced cuber refining your sub-8 times, accurate averaging helps you:

• Set realistic goals based on current performance
• Identify strengths and weaknesses in your solving
• Prepare effectively for competition environments
• Measure progress over time objectively
• Compare your performance with other cubers fairly

Remember that while averages are important, they’re just one measure of your cubing journey. The most successful cubers focus on consistent improvement, enjoying the process of learning new techniques, and participating in the vibrant global cubing community.

Use this calculator regularly to track your progress, and consider maintaining a solving journal to record not just your times but also your thoughts about each solve. Over time, you’ll develop both the technical skills and the mental resilience needed to achieve your cubing goals.