Question

Find the percentile for the given data value.

Answer 1

To find the percentile for a given data value, you need to order the data set, count the number of values less than or equal to the given value, count the total number of values, and use a formula to calculate the percentile.

Step-by-step explanation:

To find the percentile for a given data value, you need to follow these steps:

1. Order the data set from smallest to largest.
2. Count the number of data values less than or equal to the given value (y).
3. Count the total number of data values (n).
4. Calculate the percentile using the formula (y/n) * 100.

For example, if we have a data set of {2, 4, 5, 6, 6, 7} and we want to find the percentile for the value 5, we can see that there are 2 values less than or equal to 5 and a total of 6 data values. Using the formula, we get (2/6) * 100 = 33.33%, so the 5th percentile is approximately 33.33%.