Half of the students in a freshman class are 14 years old one third are 15 and the rest are 13 . Is the mean age greater than or less than t

Question

Half of the students in a freshman class are 14 years old one third are 15 and the rest are 13 . Is the mean age greater than or less than the median age

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Sadie 1 week 2021-09-15T22:52:58+00:00 2 Answers 0

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    0
    2021-09-15T22:54:02+00:00

    Answer:

      the mean age is greater

    Step-by-step explanation:

    The mean age is …

      (1/2)14 + (1/3)15 + (1/6)13 = 14 1/6

    The median age is 14. (half the students are 14 or younger)

    The mean age is greater.

    _____

    1 -1/2 -1/3 = 6/6 -3/6 -2/6 = 1/6 . . . . . 1/6 of the students are 13.

    0
    2021-09-15T22:54:55+00:00

    Answer:

    Step-by-step explanation:

    Given that half of the students in a freshman class are 14 years old one third are 15 and the rest are 13

    If no of students are n, then we have

    n/2 have ages as 14, n/3 as 15 and remaining n/6 as 13.

    Average would be total/n

    = \frac{\frac{14n}{2}+\frac{15n}{3} +\frac{13n}{6}  }{n} \\=7+5+\frac{13}{6} =14.67

    Median would be middle entry when arranged in ascending order hence = 14

    Mean > median

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