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Intermediate November 2022 Unit 1 Q8

WJECIntermediateCurrent spec3 marksAverages (including IQR)

8. There are five numbers in a list.
The mean of the five numbers is 7.
Another number is added to the list.
The mean of these six numbers is 8·5.

Find the value of the sixth number.
You must show all your working. [3]