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 given values from smallest to largest, we'll first define each term:

  1. Lower Quartile (Q1): The value below which 25% of the data falls.
  2. Median (Q2): The middle value that divides the dataset into two equal halves, which means 50% of the data falls below this value.
  3. Upper Quartile (Q3): The value below which 75% of the data falls.
  4. Decile 6 (D6): The value below which 60% of the data falls, as deciles divide the dataset into ten equal parts.
  5. Decile (D1 - D9): Each decile represents 10% increments of the data. So, D1 is the first 10%, and D9 is the last 90%.
  6. 20 Percentile (P20): The value below which 20% of the data falls.
  7. 70 Percentile (P70): The value below which 70% of the data falls.
  8. 0.38 Fractile: The value below which 38% of the data falls.

Now we will order these values based on their definitions regarding the percentage of data they represent:

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

Thus, the ranks from smallest to largest are:

  1. 0.38 Fractile
  2. 20 Percentile
  3. Lower Quartile (Q1)
  4. Median (Q2)
  5. Decile 6 (D6)
  6. 70 Percentile (P70)
  7. Upper Quartile (Q3)

If you have any specific numerical values for these statistics, please share them, and I can help you rank them accordingly!