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85th percentile

  1. #1
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    85th percentile

    Good morning everyone,

    I work in Traffic Engineering. As part of this job I survey cars and how fast they are going. I have a survey performed where we use a radar gun and mark on a spreadsheet how fast 100 cars are going. I was wondering if there is a formula that will tell me how fast 85% of the cars are going based on the entries in the spreadsheet? 85th percentile.xlsx

    Any assistance you can provide would be greatly appreciated.

    Thank you.

  2. #2
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    Re: 85th percentile

    Hello
    You can use the PERCENTILE.INC function, for example:

    Formula: copy to clipboard
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    this gives the 85% percentile inclusive of 0 and 100. Use PERCENTILE.EXC to exclude. In your sample the inclusive returns 54.75.

    Here's a You Tube tutorial:

    https://www.youtube.com/watch?v=aW2UZjoeljE

    Hope this is what you're looking for.
    DBY

  3. #3
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    Re: 85th percentile

    Row\Col
    A
    B
    C
    D
    E
    F
    G
    H
    I
    J
    K
    L
    M
    N
    O
    P
    Q
    R
    S
    T
    U
    V
    W
    X
    Y
    2
    Pctile
    85%
    X2: Input
    3
    Speed
    46.4
    X3: =PERCENTILE($A$5:$A$40, PERCENTRANK($X$5:$X$40, X2, 3))
    4
    MPH
    1
    2
    3
    4
    5
    6
    7
    8
    9
    10
    11
    12
    13
    14
    15
    16
    17
    18
    19
    20
    Helper
    5
    60
    0
    100%
    X5: =SUM(V5:V$40) / $V$42
    6
    59
    0
    100%
    7
    58
    0
    100%
    8
    57
    0
    100%
    9
    56
    0
    100%
    10
    55
    X
    1
    100%
    11
    54
    0
    99%
    12
    53
    0
    99%
    13
    52
    0
    99%
    14
    51
    X
    1
    99%
    15
    50
    X X
    2
    98%
    16
    49
    X X X X
    4
    96%
    17
    48
    X X X
    3
    92%
    18
    47
    X X X X X X X
    7
    89%
    19
    46
    X X X X X X X X X X X X X
    13
    82%
    20
    45
    X X X X X X X X X X X
    11
    69%
    21
    44
    X X X X X X X X X X X X X X X X X
    17
    58%
    22
    43
    X X X X X X X X X X X
    11
    41%
    23
    42
    X X X X X X X
    7
    30%
    24
    41
    X X X X
    4
    23%
    25
    40
    X X X
    3
    19%
    26
    39
    X X X
    3
    16%
    27
    38
    X X X X
    4
    13%
    28
    37
    X X X
    3
    9%
    29
    36
    X x
    2
    6%
    30
    35
    X X X
    3
    4%
    31
    34
    X
    1
    1%
    32
    33
    0
    0%
    33
    32
    0
    0%
    34
    31
    0
    0%
    35
    30
    0
    0%
    36
    29
    0
    0%
    37
    28
    0
    0%
    38
    27
    0
    0%
    39
    26
    0
    0%
    40
    25
    0
    0%
    41
    42
    TOTAL
    100
    Entia non sunt multiplicanda sine necessitate

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    Re: 85th percentile

    Is this the "raw" data, or did your survey output a "list" of car speeds: (34, 35, 35, 35, 36, 36,...)? If your original data are in a list, then it should be as easy as using one of the PERCENTILE() functions (PERCENTILE.EXC(), PERCENTILE.INC(), PERCENTILE() depending on your specific needs) on the original list.

    If the histogram in the spreadsheet is the raw data, then I would suggest extracting the data into such a list and then using the appropriate percentile function. As tedious as it is, the easiest and fastest way might be to hand enter the list from the chart. Then, for future surveys, note that it is easier to process the data if the date are recorded in a list.
    Quote Originally Posted by shg
    Mathematics is the native language of the natural world. Just trying to become literate.

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    Re: 85th percentile

    Thank you for all of the replies. You are correct that this is the raw data. It typically remains in this format as part of a report.

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    Re: 85th percentile

    As a gut check I look at the histogram and count 15 cars down on this list of 100 cars and it tells me the 85th car is in the 47 MPH row. So the 85th percentile would be 47. However, if I used the formula that shg suggested(which looks great btw) then it would round down to 46. Is there any way to tweak it a little to figure out basically at which speed is 85 of the cars below and 15 above? Hopefully that makes sense. If not let me know. I really appreciate all of your input.

  7. #7
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    Re: 85th percentile

    if I used the formula that shg suggested(which looks great btw) then it would round down to 46.
    No; 46.4 is the interpolated result between 46 and 47.

    If you wanted to return 47, you could use (referenced to my example),

    =INDEX(A5:A40, MATCH(X2, X5:X40, -1))

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    Re: 85th percentile

    I will give it a shot. Thank you very much shg! Repped.

  9. #9
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    Re: 85th percentile

    You're welcome.

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