Stanine Score Example

Stanine scores are a way to rescale raw scores into a nine point scale. This nine point scale provides an easy way to compare individuals without worrying about small differences in raw score. Stanine scores are typically used with standardized testing and are often reported on the results along with raw scores.

Example Data

We will see an example of how to calculate stanine scores for a sample data set.

There are 100 scores in the table below that are from a population that is normally distributed with a mean of 400 and a standard deviation of 25.  The scores have been ranked in ascending order as

351380392407421
351381394408421
353384395408422
354385397409423
356385398410425
356385398410425
360385399410426
362386401410426
364386401411427
365387401412430
365387401412431
366387403412433
368387403413436
370388403413440
370388403413441
371390404414445
372390404415449
372390405417452
376390406418452
377391406420455

 

Calculation of Stanine Scores

We will see how to determine which raw scores become which stanine scores.

  • The first 4% of ranked scores (raw scores 351-354) will be given a stanine score of 1.
  • The next 7% of ranked scores (raw scores 356-365) will be given a stanine score of 2.
  • The next 12% of ranked scores (raw scores 366-384) will be given a stanine score of 3.
  • The next 17% of ranked scores (raw scores 385-391) will be given a stanine score of 4.
  • The middle 20% of ranked scores (raw scores 392-406) will be given a stanine score of 5.
  • The next 17% of ranked scores (raw scores 407-415) will be given a stanine score of 6.
  • The next 12% of ranked scores (raw scores 417-427) will be given a stanine score of 7.
  • The next 7% of ranked scores (raw scores 430-445) will be given a stanine score of 8.
  • The next 4% of ranked scores (raw scores 449-455) will be given a stanine score of 9.

Now that the scores have been converted to a nine point scale, we can easily interpret them.  A score of 5 is the midpoint and is the average score.  Each point in the scale is 0.5 standard deviations away from the mean.

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Your Citation
Taylor, Courtney. "Stanine Score Example." ThoughtCo, May. 28, 2015, thoughtco.com/stanine-score-example-3126177. Taylor, Courtney. (2015, May 28). Stanine Score Example. Retrieved from https://www.thoughtco.com/stanine-score-example-3126177 Taylor, Courtney. "Stanine Score Example." ThoughtCo. https://www.thoughtco.com/stanine-score-example-3126177 (accessed January 24, 2018).