Row and column sums of an activity table
Row and column sums of an activity table
Secondary 4
6 marks
Each Secondary 3 and Secondary 4 student in a club chose exactly one of three activities. The table shows the numbers of students.
| Choir | Robotics | Badminton | |
|---|---|---|---|
| Secondary 3 | 18 | 25 | 32 |
| Secondary 4 | 21 | 19 | 27 |
- Write down a \(2\times3\) matrix \(C\) for the table, keeping the order of its rows and columns.[1]
- State the entry in row 1, column 2 of \(C\) and explain what it represents.[1]
- Find the sum of the entries in row 2 of \(C\) and explain what it represents.[2]
- Find the sum of the entries in column 3 of \(C\) and explain what it represents.[2]
Solution:
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Answer:(a) \(C=\begin{pmatrix}18&25&32\\ 21&19&27\end{pmatrix}\) (b) \(25\): Secondary 3 students who chose Robotics (c) \(67\): the number of Secondary 4 students in the club (d) \(59\): the number of Secondary 3 and 4 students who chose Badminton
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