Final answer:
The values are ranked by their position in a data set from smallest to highest: 20th percentile, 0.38 fractile (38th percentile), lower quartile (25th percentile), median (50th percentile), decile 6 (60th percentile), 70th percentile, and upper quartile (75th percentile).
Step-by-step explanation:
To rank the provided values from the data set from smallest to highest, we need to understand that percentiles and quartiles are measures that divide data into equal parts. The 20th percentile indicates that 20% of the data is below this value. A lower quartile, also known as Q1, is equivalent to the 25th percentile, which means 25% of the data falls below this value. The median, or second quartile (Q2), divides the data set in half, representing the 50th percentile. A decile 6 represents the 60th percentile, as deciles are increments of 10 percentiles. A 0.38 fractile is the same as the 38th percentile, and the upper quartile, or Q3, corresponds to the 75th percentile. Lastly, the 70th percentile is a value higher than 70% of the dataset.
Using this understanding, we can rank the provided terms from smallest to highest as follows:
- 20th percentile
- 0.38 fractile (38th percentile)
- Lower quartile (25th percentile)
- Median (50th percentile)
- Decile 6 (60th percentile)
- 70th percentile
- Upper quartile (75th percentile)