The arithmetic mean (average) of 17, 26, 42, and 59 is equal to the arithmetic mean of 19 and N. Wha

Discussion in 'Calculator Requests' started by math_celebrity, Oct 2, 2020.

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    The arithmetic mean (average) of 17, 26, 42, and 59 is equal to the arithmetic mean of 19 and N. What is the value of N ?

    Average of the first number set is using our average calculator is:
    36

    Now, the mean (average) or 19 and N is found by adding them together an dividing by 2:
    (19 + N)/2

    Since both number sets have equal means, we set (19 + N)/2 equal to 36:
    (19 + N)/2 = 36

    Cross multiply:
    19 + N = 36 * 2
    19 + n = 72

    To solve for n, we type this equation into our search engine and we get:
    n = 53
     

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