The scores for students are 40,41,42,43,45,47,49,50,51,51,54,57,59,60,61,63,67,69,70,71
What is the percentile for the score 51.
51 is the ninth and tenth scores out of 20.
9.5/20 = ?
To calculate the percentile for a particular score, you can follow these steps:
Step 1: Sort the scores in ascending order:
40, 41, 42, 43, 45, 47, 49, 50, 51, 51, 54, 57, 59, 60, 61, 63, 67, 69, 70, 71
Step 2: Determine the position of the score in the ordered list.
In this case, there are two occurrences of the score 51. Counting from the left, we find that the first occurrence is in position 9 and the second occurrence is in position 10.
Step 3: Calculate the percentile.
Percentile is calculated using the formula:
(percentile = [(p / 100) * (n + 1)])
Where:
- p is the desired percentile (in this case, 50)
- n is the number of data points (in this case, 20)
Therefore, substituting the values into the formula, we get:
percentile = [(50 / 100) * (20 + 1)]
= [(0.50) * (21)]
= 10.5
The percentile for the score 51 is approximately 10.5.