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Mean, Median, and Mode - Introductory Statistics

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Quantitative Specialists
Mode – the most frequently occurring
score
Median – the middle score
Mean – the arithmetic average
Quantitative
Specialists
The most frequently occurring score
Example: 1, 2, 2, 2, 3, 3, 4
Mode = 2
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Mean, Median, and Mode - Introductory Statistics

  1. 1. Quantitative Specialists
  2. 2. Mode – the most frequently occurring score Median – the middle score Mean – the arithmetic average Quantitative Specialists
  3. 3. The most frequently occurring score Example: 1, 2, 2, 2, 3, 3, 4 Mode = 2 Quantitative Specialists
  4. 4. Example: 1, 2, 2, 3, 3, 4 Bimodal (two modes) = 2, 3 Quantitative Specialists
  5. 5. Example: 1, 2, 2, 3, 3, 4, 4 Multimodal (three or more modes) = 2, 3, 4 Quantitative Specialists
  6. 6. The middle value Example: 1, 2, 3, 4, 5 Median = 3 Quantitative Specialists
  7. 7. Example: 1, 2, 3, 4, 5, 6 Two middle scores: 3, 4 To find the median, take the average of the two middle scores: (3+4)/2 = 3.5 Median = 3.5 Quantitative Specialists
  8. 8. Odd N: When there are an odd number of values, the median is the middle score (1, 2, 3, 4, 5; N=5) median = 3 Even N: When there are an even number of values, the median is equal to the average of the two middle scores (1, 2, 3, 4, 5, 6; N=6) median = 3.5 Quantitative Specialists
  9. 9. Prior to calculating the median, be sure that the numbers are ordered from smallest to largest (don’t pick the middle number of a set of numbers if they are not first ordered) Example: 2, 3, 1, 3, 1, 6 Reordered: 1, 1, 2, 3, 3, 6 Median = 2.5 Quantitative Specialists
  10. 10. Mean = the arithmetic average Mean: Where µ = the population mean, ΣX is the sum of the variable X (add the values of X together), and N is the total number of values N X Quantitative Specialists
  11. 11. Example X = 1, 2, 3, 4, 5 N = 5 Mean = 3 3 5 15 5 54321     N X  Quantitative Specialists
  12. 12. YouTube Channel: Quantitative Specialists Subscribe to our channel at: https://www.youtube.com/statisticsinstructor (typing “quantitative specialists” in the search box will also find us). New videos uploaded regularly. Comprehensive statistics courses available on Udemy.com. Search for Quantitative Specialists (use offer SS50 for a discount on any of our Statistics/SPSS courses with our thanks for viewing us on slideshare) Statistical consultation questions? Contact us at: quantitativespecialists@gmail.com

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