High School

Here is a data set (n = 117) that has been sorted:

42.3, 44.2, 46.7, 46.8, 46.9, 47.3, 47.4, 47.6, 47.8, 49.2, 49.6, 49.6, 50.2, 50.3, 50.7, 50.9, 50.9, 51.1, 51.3, 51.5, 51.5, 51.9, 52.6, 52.9, 53.3, 53.3, 53.4, 53.5, 53.5, 54.1, 54.3, 54.4, 55, 55.1, 55.1, 55.2, 55.7, 55.8, 56.4, 56.6, 56.9, 57.2, 57.5, 57.6, 57.8, 57.8, 57.8, 57.9, 58.4, 58.6, 58.7, 58.8, 58.8, 59, 59.1, 59.2, 59.2, 59.2, 59.3, 59.5, 59.6, 59.6, 60.1, 60.2, 60.2, 60.4, 60.6, 60.9, 61.1, 61.5, 62, 62.3, 62.4, 62.7, 62.8, 62.8, 62.8, 62.9, 63.1, 63.9, 64.2, 64.4, 64.4, 64.5, 64.7, 64.9, 65, 65.3, 65.4, 65.9, 65.9, 65.9, 66, 66.5, 67.4, 67.5, 68, 68.1, 68.5, 68.8, 69.1, 69.9, 70.4, 70.6, 71.4, 72.1, 72.3, 72.3, 73.5, 73.9, 74.5, 75.3, 75.6, 76.5, 77.4, 77.6, 85.6.

Find the 2nd Percentile (P2).

Answer :

Final answer:

Using the formula for finding a percentile, we can find that the 2nd percentile (P2) of the data set is the 2nd observation, which is 44.2.

Explanation:

The 2 percentile, P2, of a data set can be calculated by using the formula:

P = (k/100)*(n + 1)

where k is the percentile (in this case 2, so k=2), and n=117 which is the total number of observations.

Plugging these values into the formula, we have:

P2 = (2/100)*(117 + 1)

This gives us the rank of the 2 percentile, which is approximately 2.36.

  • Since we can't have a fractional rank, we round this down to the nearest whole number.
  • So the rank of the 2 percentile is 2.
  • Therefore, the 2 percentile (P2) of this data set is the 2nd observation when sorted in ascending order, which is 44.2.

Learn more about Percentiles here:

https://brainly.com/question/34021797

#SPJ4

Other Questions