Find 65th Percentile of Scores
Example problem work with steps and calculation summary to find 65th percentile of frequency table or the scores of examination 900, 960, 1100, 1157, 850, 954, 649 & 920.
| Calculation Summary | |
|---|---|
| scores | 900, 960, 1100, 1157, 850, 954, 649 & 920 |
| nth Percentile | 65% |
| score | 960 |
Work with Steps for 65th Percentile
Question:
The scores of candidates are {900, 960, 1100, 1157, 850, 954, 649, 920}. What is 65th percentile of these scores?
workout :The scores of candidates are {900, 960, 1100, 1157, 850, 954, 649, 920}. What is 65th percentile of these scores?
step 1 Address the input parameters and values
scores = 900, 960, 1100, 1157, 850, 954, 649 & 920
Percentile = 65%
n = 8
step 2 Arrange the dataset in ascending order
Ascending order : 649, 850, 900, 920, 954, 960, 1100 & 1157
step 3 Find total number of scores
Total nuber of observations in dataset n = 8
Position = n x nth Percentile/100
value at position = 8 x 65/100
= 5.2
Rounding up to the nearest integer gives 6
6th element in dataset is 960
65th percentile of scores is 960
