The first letters of the surnames of
students in a JSS 2 class are recorded
as follows:
D, A, E, D, E, M, H, M, B, D, B, G,
G, G, A, B, C, M, H, M, E, D, D, A,
H, M, H, D, D, D, E, F, F, A, C, G
a) Prepare a frequency table for the
data.
b) Which letter of the alphabet is most
c)
frequent?
How many students are in the
class?



Answer :

Let's go through this problem step by step.

### a) Prepare a frequency table for the data.

First, we list all the surnames:
D, A, E, D, E, M, H, M, B, D, B, G, G, G, A, B, C, M, H, M, E, D, D, A, H, M, H, D, D, D, E, F, F, A, C, G

Count the occurrence of each letter:

- A: 4
- B: 3
- C: 2
- D: 9
- E: 4
- F: 2
- G: 4
- H: 4
- M: 5

Now, we can create the frequency table:

| Letter | Frequency |
|--------|-----------|
| A | 4 |
| B | 3 |
| C | 2 |
| D | 9 |
| E | 4 |
| F | 2 |
| G | 4 |
| H | 4 |
| M | 5 |

### b) Which letter of the alphabet is most frequent?

From the frequency table, we identify the letter with the highest frequency.

The letter 'D' appears 9 times, which is the highest frequency.

Therefore, the most frequent letter is D.

### c) How many students are in the class?

To find the total number of students, we sum up the frequencies of all the letters:

[tex]\(4 + 3 + 2 + 9 + 4 + 2 + 4 + 4 + 5 = 37\)[/tex]

Therefore, there are 37 students in the class.

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