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## 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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Mathematics
3 months
2021-07-19T16:07:09+00:00
2021-07-19T16:07:09+00:00 1 Answers
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## Answers ( )

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.