Consider the set of values below. At what percentile is 33? 2 2 2 2 2 3 4 6 9 14 22 33 57 93 93 33 is at the th percentile . ( Simplify your answer . )
To determine the percentile of 33, we first need to find the total number of values in the set, which is 16. Next, we need to count how many values in the set are less than or equal to 33. We see that there are 10 values that are less than or equal to 33.
To convert this to a percentile, we use the formula:
percentile = (number of values less than or equal to x / total number of values) x 100
Plugging in the values we have, we get:
percentile = (10 / 16) x 100
percentile = 0.625 x 100
percentile = 62.5
Therefore, 33 is at the 62.5th percentile in this set of values.
To find the percentile at which 33 falls in the given set, we need to determine the position of 33 in the set compared to the total number of values.
First, let's determine the total number of values in the set. By counting the values given, we can see that there are 16 values in total.
Now, let's determine the position of 33:
1. Arrange the values in ascending order: 2 2 2 2 2 3 4 6 9 14 22 33 57 93 93.
2. Count the number of values that are less than or equal to 33. From the given values, there are 11 values that are less than or equal to 33.
To find the percentile, we use the formula:
Percentile = (Position of value / Total number of values) * 100
Plug in the values:
Percentile = (11 / 16) * 100
Percentile = (11 / 16) * 100 = 68.75
Therefore, 33 is at the 68.75th percentile.