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.
### 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.