Calculators & Converters

    Find 65th Percentile of Scores

    Percentile Calculator

    Example problem work with steps & 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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