Question

3.2 The figures in the table below are the marks of 30 grade 11 learners
for the Mathematics examination:
52 88 85 75 72 42 58 56 33 45
36 89 42 55 66 63 68 69 35 89
52 72 72 66 55 56 89 75 72 32
Table 3.2: Marks of 30 learners.
3.2.1 Complete the frequency table. You can redraw the table or
print Annexure A and then complete it.
Age intervals Tally Frequency
30 ≤ 𝑥 < 40
40 ≤ 𝑥 < 50
50 ≤ 𝑥 < 60
60 ≤ 𝑥 < 70
70 ≤ 𝑥 < 80
80 ≤ 𝑥 < 90

Answer 1

Let's calculate the frequency of the marks in each given age interval based on the data provided. The marks are:

52, 88, 85, 75, 72, 42, 58, 56, 33, 45,
36, 89, 42, 55, 66, 63, 68, 69, 35, 89,
52, 72, 72, 66, 55, 56, 89, 75, 72, 32.

We will tally the marks in the intervals as follows:

### Frequency Table
| Age Intervals | Tally | Frequency |
|-------------------|----------------|-----------|
| 30 ≤ 𝑥 < 40 | ||| | 3 |
| 40 ≤ 𝑥 < 50 | ||| | 4 |
| 50 ≤ 𝑥 < 60 | |||| | 6 |
| 60 ≤ 𝑥 < 70 | |||| | 6 |
| 70 ≤ 𝑥 < 80 | |||| | 5 |
| 80 ≤ 𝑥 < 90 | ||| | 6 |
| **Total** | | **30** |

### Frequency Calculation
- **30 ≤ 𝑥 < 40**: Marks are 33, 36, 32 (3 marks)
- **40 ≤ 𝑥 < 50**: Marks are 42, 42, 45 (4 marks)
- **50 ≤ 𝑥 < 60**: Marks are 52, 52, 55, 55, 56, 56 (6 marks)
- **60 ≤ 𝑥 < 70**: Marks are 63, 66, 68, 66, 69, 72, 72 (6 marks)
- **70 ≤ 𝑥 < 80**: Marks are 72, 75, 75 (5 marks)
- **80 ≤ 𝑥 < 90**: Marks are 85, 88, 89, 89, 89 (6 marks)

Thus, the complete frequency table is above.