A frequency table with two missing frequencies
A frequency table with two missing frequencies
IP 1
7 marks
The table shows the number of goals scored by a team in each of \(25\) matches. The mean number of goals per match is \(2.4\).
| Goals | \(0\) | \(1\) | \(2\) | \(3\) | \(4\) |
|---|---|---|---|---|---|
| Number of matches | \(2\) | \(x\) | \(6\) | \(y\) | \(3\) |
- Form two equations and find \(x\) and \(y\).[3]
- Find the median and the mode.[2]
- One more match is played and the mean becomes exactly \(2.5\). Find the number of goals in that match, and explain whether the median changes.[2]
Solution:
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Answer:(a) \(x=3\), \(y=11\) (b) median \(3\), mode \(3\) (c) \(5\) goals; the 13th and 14th values are still \(3\), so the median stays \(3\)
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