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16 July, 06:21

The mean (average) height of 4 girls is 152 cm.

Melissa joins the group and the mean height of the

group of the 5 girls is now 151.6 cm.

What is Melissa's height?

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Answers (1)
  1. 16 July, 09:16
    0
    Melisa's height = 150 cm

    Step-by-step explanation:

    Initially, we are told there are 4 girls and their average height is 152 cm.

    Now, the formula for this average is;

    Average height = total sum of heights/number of girls

    Thus;

    152 = total sum of heights/4

    We cross multiply to get;

    Total sum of heights = 152 * 4

    Total sum of 4 girls height = 608 cm

    Now we are told that melissa joins them and the average height of the 5 of them is now 151.6.

    Let melissa's height be x.

    Thus;

    Total height of 5 girls is now; (608 + x)

    So, from the formula for average initially;

    151.6 = (608 + x) / 5

    Cross multiply to get;

    151.6 * 5 = (608 + x)

    758 = 608 + x

    Subtract 608 from both sides to get;

    758 - 608 = x

    x = 150 cm
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