Rank the following value in order of smallest to largest

Upper quartile, decile,70 percentile, median, decile 6, lower quartile, 20 percentiles and 0.38 fractile

1 answer

To rank the values you provided in order from smallest to largest, let's first clarify what each term represents:

  1. Lower Quartile (Q1): The value below which 25% of the data fall.
  2. Median (Q2): The value below which 50% of the data fall.
  3. Upper Quartile (Q3): The value below which 75% of the data fall.
  4. Decile 6 (D6): The value below which 60% of the data fall.
  5. 70th Percentile (P70): The value below which 70% of the data fall.
  6. Decile (D1): The value below which 10% of the data fall.
  7. 20th Percentile (P20): The value below which 20% of the data fall.
  8. 0.38 Fractile: The value below which 38% of the data fall.

Now, let's summarize the approximate rankings based on their definitions:

  • 20th Percentile (P20) = 20%
  • Decile 1 (D1) = 10%
  • Decile 6 (D6) = 60%
  • Lower Quartile (Q1) = 25%
  • 0.38 Fractile = 38%
  • Median (Q2) = 50%
  • 70th Percentile (P70) = 70%
  • Upper Quartile (Q3) = 75%

Putting this all together, the ranking from smallest to largest is:

  1. Decile (D1 or Decile 1) (10%)
  2. 20th Percentile (P20) (20%)
  3. Lower Quartile (Q1) (25%)
  4. 0.38 Fractile (38%)
  5. Median (Q2) (50%)
  6. Decile 6 (D6) (60%)
  7. 70th Percentile (P70) (70%)
  8. Upper Quartile (Q3) (75%)

So, the final order is:

  1. Decile 1
  2. 20th Percentile
  3. Lower Quartile
  4. 0.38 Fractile
  5. Median
  6. Decile 6
  7. 70th Percentile
  8. Upper Quartile