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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

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To rank the various statistical measures from smallest to largest, we first need to clarify their definitions:

  1. Lower Quartile (Q1): This is the 25th percentile (25% of data falls below this value).
  2. Median (Q2): This is the 50th percentile (50% of data falls below this value).
  3. Upper Quartile (Q3): This is the 75th percentile (75% of data falls below this value).
  4. Decile 6 (D6): This is the 60th percentile (60% of data falls below this value).
  5. Decile 7 (D7): This is the 70th percentile (70% of data falls below this value).
  6. 20th Percentile: This is the same as the 20% mark (20% of data falls below this value).
  7. 0.38 Fractile: This is equivalent to the 38th percentile (38% of data falls below this value).

Now, we can order these values based on their percentiles:

  • 20th Percentile (20%)
  • Lower Quartile (Q1 / 25%)
  • 0.38 Fractile (38%)
  • Median (Q2 / 50%)
  • Decile 6 (D6 / 60%)
  • Decile 7 (D7 / 70%)
  • Upper Quartile (Q3 / 75%)

Putting it all together in order from smallest to largest:

  1. 20th Percentile
  2. Lower Quartile (Q1)
  3. 0.38 Fractile
  4. Median (Q2)
  5. Decile 6 (D6)
  6. Decile 7 (D7)
  7. Upper Quartile (Q3)

Thus, the final ranking from smallest to largest is:

  • 20th Percentile
  • Lower Quartile (Q1)
  • 0.38 Fractile
  • Median (Q2)
  • Decile 6 (D6)
  • Decile 7 (D7)
  • Upper Quartile (Q3)