given the data set below what would be the percentile rank of the number 6
2;8;6;9;5
Since it's the 4th of 5 numbers, use this fraction 4/5 and convert it to a percent.
To determine the percentile rank of a number, you need to follow these steps:
Step 1: Arrange the data set in ascending order.
For the given data set 2, 8, 6, 9, 5, the arranged data set in ascending order would be: 2, 5, 6, 8, 9.
Step 2: Calculate the rank of the number in the data set.
In this case, the number 6 is the third number in the arranged data set (2, 5, 6, 8, 9), which means it has a rank of 3.
Step 3: Calculate the percentile rank.
The percentile rank can be calculated using the following formula:
Percentile Rank = (Rank / (Total number of data points - 1)) * 100
In this case, the total number of data points is 5. So, substituting the values into the formula:
Percentile Rank = (3 / (5 - 1)) * 100
= (3 / 4) * 100
= 0.75 * 100
= 75
Therefore, the percentile rank of the number 6 in the given data set is 75.