Calculators & Converters

    Find 65th Percentile of Scores

    Percentile Calculator

    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 :
    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

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