The Ohio State University: College of Engineering

Advanced R&D – Track Variance

Data From Track Variance Tests

Conclusions:

  • Track 3 although traveled the shortest distance required much less average energy than the other average.
  • This would indicate that track 3 has a more gradual incline then the other 3 tracks.
  • Track one showed values similar to the average for energy and distance but averaged about 1 second longer than the mean of the track data.
  • This would indicate that track 1 has a steeper incline then the other tracks, indicating it may take more energy or more time to run the AEV from start to the gate.
  • Track 2 and 4 acted similarly to the average and showed accurate data with little variance.

Sample calculations:

Mean of all trials: 

6.4214
6.4234
6.0262
6.3716

((6.4214+6.4234+6.0262+6.3716)/4) = 6.31065 seconds, is the average time for each run

Standard Deviation of all Trials:

Sqr[((6.31065-6.4214)^2)+((6.31065-6.4234)^2)+((6.31065-6.0262)^2)+((6.31065-6.3716)^2)]/3 = 0.18714 standard deviation of the time for all runs

Median: 

Middle Value of all trials: 3.6965 seconds, median of all times from all runs

Mode: 

Value occurred most of all trials: 6.3716 seconds, mode of all times from all runs