# Find 65^{th} Percentile of Scores

## Work with Steps for 65^{th} Percentile

__Question:__

The scores of candidates are {900, 960, 1100, 1157, 850, 954, 649, 920}. What is 65

^{th}percentile of these scores?

__workout :__

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 n

^{th}Percentile/100

value at position = 8 x 65/100

= 5.2

Rounding up to the nearest integer gives 6

6

^{th}element in dataset is 960

65

^{th}percentile of scores is 960

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