https://file.aiquickdraw.com/mathbot/file/17294250533000jxdt52z.jpg

Let's solve the questions based on the table provided in the image.

The table contains two columns: **Mark** and **Frequency**. The marks are 6, 7, 8, 9, and 10, with respective frequencies of 2, 4, 7, 8, and 4.

### a) Work out the range of the marks:
The **range** is the difference between the highest and lowest marks.

- Highest mark = 10
- Lowest mark = 6

Range = 10 - 6 = **4**

### b) How many students are in the group?
The total number of students is the sum of the frequencies.

- Total students = 2 + 4 + 7 + 8 + 4 = **25**

### c) Work out the mean mark of the group:
The **mean** mark is calculated by finding the sum of all the marks (each multiplied by its frequency) and dividing it by the total number of students.

\[
\text{Sum of all marks} = (6 \times 2) + (7 \times 4) + (8 \times 7) + (9 \times 8) + (10 \times 4)
\]
\[
\text{Sum of all marks} = 12 + 28 + 56 + 72 + 40 = 208
\]
\[
\text{Mean} = \frac{208}{25} = 8.32
\]

So, the mean mark is **8.32**.

Would you like further details on any step?

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Here are 5 related questions for further practice:
1. What is the median mark for the group?
2. Calculate the mode of the marks.
3. What would be the range if the lowest mark was 5?
4. How many students scored 8 or higher?
5. If one more student scored 10, what would the new mean be?

**Tip:** The mean is sensitive to all data points, whereas the mode only considers the most frequent value.

A group of students were given a spelling test. The table shows their marks. 

 a) Work out the range of the marks. 
 b) How many students are in the group? 
 c) Work out the mean mark of the group.

Learn how to calculate the range, total number of students, and mean mark from a frequency table. This problem involves key statistical concepts such as range, mean, and frequency distribution. Suitable for students in Grades 6-8.

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