Question
find the value of the 20th and 85th percentiles of the date. 19,10,8,6,12,8,18,21,20,3,18,13,6,2,14,13,12,16,17,21
Answers
GPT 3.5
To find the 20th percentile, first sort the data in ascending order:
2, 3, 6, 6, 8, 8, 10, 12, 12, 13, 13, 14, 16, 17, 18, 18, 19, 20, 21, 21
The 20th percentile is at the 20% position in the data set, which is 0.2 * 20 = 4. Since the position is not an integer, you take the average of the 4th and 5th values:
The 20th percentile = (6 + 8) / 2 = 7
To find the 85th percentile, we follow the same steps:
The 85th percentile is at the 85% position, which is 0.85 * 20 = 17. Since the position is an integer, the 85th percentile is the value at the 17th position:
The 85th percentile = 20
Therefore, the value of the 20th percentile is 7 and the value of the 85th percentile is 20.
2, 3, 6, 6, 8, 8, 10, 12, 12, 13, 13, 14, 16, 17, 18, 18, 19, 20, 21, 21
The 20th percentile is at the 20% position in the data set, which is 0.2 * 20 = 4. Since the position is not an integer, you take the average of the 4th and 5th values:
The 20th percentile = (6 + 8) / 2 = 7
To find the 85th percentile, we follow the same steps:
The 85th percentile is at the 85% position, which is 0.85 * 20 = 17. Since the position is an integer, the 85th percentile is the value at the 17th position:
The 85th percentile = 20
Therefore, the value of the 20th percentile is 7 and the value of the 85th percentile is 20.