Ordered values with unknowns and a new mean

Ordered values with unknowns and a new mean

Secondary 2
6 marks
TGM Original Questions

Core stretch

The ordered data are \(0,2,3,4,x,y,7,8,11,13\).

  1. Write the median in terms of \(x,y\).[1]
  2. Given \(x=5\) and the mean is 6, find \(y\) and state the mode.[3]
  3. A value \(p\) is added and the new mean is 7. Find \(p\).[2]

Solution:

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Answer:(a) \(\frac{x+y}{2}\) (b) \(y=7\), mode \(7\) (c) \(p=17\).

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