Consider the following 8 numbers, where one labelled x is unknown. 31, 44, 43, x, 47, 11, 26, 29 Given that the range of the numbers is 57, work out 2 values of x

Answer: - 10 and 68

Step-by-step explanation:

We have the numbers, ordered from least to greatest:

11, 26, 29, 31, 43, 44, 47 and x.

The range is equal to the difference between the largest number and the smallest number, so, x can take two values.

The smallest number:

here we have that:

47 - x = 57

x = 47 - 57 = - 10

The other possibility is that x is the largest number, in this case, we have that:

x - 11 = 57

x = 57 + 11 = 68.

Then the two possibla values of x are - 10 and 68