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Thread: In performing a sequence of experiments

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    In performing a sequence of experiments

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    In performing a sequence of experiments, a scientist made 20 measurements. The average
    (arithmetic mean) of these measurements was 34. For security reasons the scientist coded the
    data by multiplying each of the measurements by 10 and then adding 40 to each product.
    What is the average of the coded measurements?

    (A) 1,140
    (B) 380
    (C) 342
    (D) 57
    (E) 19

    Answer:
    SPOILER: B


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    GRE-GMAT Instructor Brent Hanneson's Avatar
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    Re: In performing a sequence of experiments

    Quote Originally Posted by sserendipty View Post
    In performing a sequence of experiments, a scientist made 20 measurements. The average
    (arithmetic mean) of these measurements was 34. For security reasons the scientist coded the
    data by multiplying each of the measurements by 10 and then adding 40 to each product.
    What is the average of the coded measurements?

    (A) 1,140
    (B) 380
    (C) 342
    (D) 57
    (E) 19

    Answer:
    SPOILER: B
    A quick solution is to say that the original 20 measurements were all 34
    That is {34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34}
    These values definitely have an average of 34


    For security reasons the scientist coded the data by multiplying each of the measurements by 10 and then adding 40 to each product.
    34 times 10 equals 340. Add 40 to get 380
    So, the 20 coded values are {380, 380, 380, 380, 380, 380, 380, 380, 380, 380, 380, 380, 380, 380, 380, 380, 380, 380, 380, 380}
    New average = 380
    Answer: B

    Cheers,
    Brent

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