Question

Five numbers have a range of 14 four of the numbers are 20,22,31 and 25 work out two different possible values for the fifth number

Answer 1

Answer: 34 and 17

Explanation:

Range = Maximum observation - Minimum observation

So to alter the value of range using 1 new number, we can let it be the new maximum observation or the new minimum observation

If we let the fifth number be the new maximum observation:

14 = fifth number - 20

⇒ fifth number = 20 + 14 = 34

If we let the fifth number be the new minimum observation:

14 = 31 - fifth number

⇒ fifth number = 31 - 14 = 17

Hence the two values of the fifth number are worked out. They are 34 and 17

Hope it helped :)