Question

HH.1 Calculate mean, median, mode, and range
U2A

Answer 1

To calculate the mean, median, mode, and range, you typically need a set of data. Since you haven't provided any specific numbers, I'll explain how to calculate each of these statistical measures using an example dataset.

**Example Dataset:**
Let's consider the following numbers: 5, 7, 3, 9, 5, 8, 3.

1. **Mean**: The average of all numbers.
\[
\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}} = \frac{5 + 7 + 3 + 9 + 5 + 8 + 3}{7} = \frac{40}{7} \approx 5.71
\]

2. **Median**: The middle number when the numbers are arranged in order.
- First, organize the data: 3, 3, 5, 5, 7, 8, 9.
- Since there are 7 values (an odd number), the median is the middle value, which is the 4th number:
\[
\text{Median} = 5
\]

3. **Mode**: The number that appears most frequently in the dataset.
- In this case, both 3 and 5 appear twice, while all other numbers appear once. Thus:
\[
\text{Mode} = 3 \text{ and } 5 \text{ (bimodal)}
\]

4. **Range**: The difference between the highest and lowest values.
\[
\text{Range} = \text{Maximum} - \text{Minimum} = 9 - 3 = 6
\]

**Summary:**
- Mean: 5.71 (approximately)
- Median: 5
- Mode: 3 and 5 (bimodal)
- Range: 6

If you provide a different set of data, I can help with those specific calculations!