Consider the following 8 numbers, where one labelled x is unknown. 27, 20, 34, x, 7, 47, 26, 41 Given that the r

Question

Consider the following 8 numbers, where one labelled x
is unknown.
27, 20, 34,
x, 7, 47, 26, 41
Given that the range of the numbers is 63,
work out 2 values of x

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Kim Chi 3 months 2021-07-19T16:07:09+00:00 1 Answers 7 views 0

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    0
    2021-07-19T16:08:18+00:00

    Answer:  70  and -16

    ==========================================================

    Explanation:

    For now, we’ll assume x is the largest value (aka the max)

    Let’s sort the values from smallest to largest.

    7, 20, 26, 27, 34, 41, 47, x

    We see that 7 is the smallest item, so,

    range = max – min = x – 7

    Set this equal to 63 and solve for x

    x-7 = 63

    x = 63+7

    x = 70

    So x could be equal to 70.

    —————————

    Next, we’ll assume that x is the smallest value

    That means the min is x and 47 is now the max

    max – min = range

    47 – x = 63

    -x = 63-47

    -x = 16

    x = -16

    So if x is the smallest value, then it must be -16

    —————————-

    Finally, we’ll let x be somewhere between 7 and 47

    Unfortunately, we can’t pin down a specific value here since we could have lots of possible values. Three such examples are x = 8, x = 9, and x = 10. There are many others.

    If your teacher is looking for 2 values only, then I would refer to the previous two sections and ignore this section entirely.

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