The accompanying data are lengths (inches) of bears. Find the percentile corresponding to 61.0 in. (Round to the nearest whole number

Question

The accompanying data are lengths (inches) of bears. Find the percentile corresponding to 61.0 in.
(Round to the nearest whole number as needed.)
Bear Lengths
36.0 37.0 39.5 40.0 40.5 43.0 44.0 45.5 45.5 46.5 48.0 48.00 49.0 50.0 51.5 52.5 53.0 53.5 54.0 57.3 57.5 58.0 58.5 59.0 59.5 60.0 61.0 61.0 61.0 61.5 62.0 62.5 63.0 63.0 63.5 64.0 64.0 64.0 64.5 65.0 66.0 67.5 67.5 68.5 70.0 70.5 71.5 72.0 72.5 72.5 72.5 73.5 74.5 77.5

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Eirian 4 years 2021-07-27T03:11:38+00:00 1 Answers 92 views 0

Answers ( )

  1. Calantha
    0
    2021-07-27T03:13:02+00:00
    Reply

    Answer:

    52nd percentile

    Step-by-step explanation:

    The sorted data :

    36.0, 37.0, 39.5, 40.0, 40.5, 43.0, 44.0, 45.5, 45.5, 46.5, 48.0, 48.00, 49.0, 50.0, 51.5, 52.5, 53.0, 53.5, 54.0, 57.3, 57.5, 58.0, 58.5, 59.0, 59.5, 60.0, 61.0, 61.0, 61.0, 61.5, 62.0, 62.5, 63.0, 63.0, 63.5, 64.0, 64.0, 64.0, 64.5, 65.0, 66.0, 67.5, 67.5, 68.5, 70.0, 70.5, 71.5, 72.0, 72.5, 72.5, 72.5, 73.5, 74.5, 77.5

    The total size of the data = 54

    The value 61.0 occurs in position ; 27th, 28th and 29th

    Taking the position average :

    (27+28+29)/3 = 84/3 = 28th position

    This means the percentile score of 61 is :

    (Position average / total size) * 100%

    (28/54) * 100%

    0.5185185 * 100%

    = 51.85%

    This means that 61 inch length falls in the 52nd percentile

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