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Math Help - Calculating frequency of client visits.

  1. #1
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    Joined
    Oct 2010
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    Calculating frequency of client visits.

    Hey guys, Hopefully someone can help me with this probably very simple math problem.

    I am trying to find a calculation for calculating the frequency of client visits to our business. I am looking at two things. The average number of weeks clients leave in between their appointments until they come back and see us. And how many times they visit us a year.

    For example:

    ClientA visits every 6 weeks, and so comes in 8.6 times a year.
    ClientB visits every 4 weeks, and so comes in 13 times a year.
    ClientC visits every 10 weeks, and so comes in 5.2 times a year.

    The average weeks left between appointments for all clients (6 weeks, 4 weeks, and 10 weeks) is 6.66 weeks.

    The average visits a year for all clients (8.6, 13, and 5.2) is 8.9 times a year.


    The Problem

    When I work it back and take the two averages it doesn't work. A client visiting every 6.66 weeks would visit 7.8 times a year. yet the average I got was 8.9.


    Can somebody please explain why this is?


    Many thanks,

    b
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  2. #2
    Member
    Joined
    Sep 2010
    Posts
    86
    Because your messing with the average numbers. If you had 52 clients and only one of them was seeing you every week while the others were never seeing you: The avergae client would visit you once a year while you nevertheless have someone coming to your place every week.

    In formula:
    \frac{52/a + 52/b + 52/c}{3} \ne \frac{52}{(a+b+c)/3}

    a,b and c represent how often a year some of your clients visit you.
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