compute the percentile rank of the raw score 8 in the following distribution 8,5,6,9,3,5
It is the fifth highest of 6 scores. The percentile rank of a score is the percentage of scores in its frequency distribution that are the same or lower than it.
To compute the percentile rank of the raw score 8, we need to determine the percentage of scores in the distribution that are equal to or less than 8.
Here are the steps to compute the percentile rank:
Step 1: Sort the distribution in ascending order: 3, 5, 5, 6, 8, 9.
Step 2: Count the number of scores in the distribution that are equal to or less than 8. In this case, there are three scores (3, 5, 5) that satisfy this condition.
Step 3: Calculate the percentile rank using the following formula:
Percentile Rank = (Number of scores equal to or less than the raw score / Total number of scores) * 100.
Percentile Rank = (3 / 6) * 100 = 0.5 * 100 = 50.
Therefore, the percentile rank of the raw score 8 in this distribution is 50. This means that 50% of the scores in the distribution are equal to or less than 8.