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The problem asks you to find the **median** and **mean** of the following data set:

\[
0, 45, 33, 8, 26, 25, 31
\]

### **Step 1: Finding the Median**
To find the median, we first need to order the data set from smallest to largest:

\[
0, 8, 25, 26, 31, 33, 45
\]

Since there are **7 numbers** (an odd amount), the median is the middle number, which is the 4th value in the ordered set:

\[
\text{Median} = 26
\]

### **Step 2: Finding the Mean**
To find the mean, we add up all the values and then divide by the number of values:

\[
\text{Sum} = 0 + 45 + 33 + 8 + 26 + 25 + 31 = 168
\]

Now, divide the sum by the number of values (7):

\[
\text{Mean} = \frac{168}{7} = 24
\]

### **Final Answer**:
- Median = **26**
- Mean = **24**

Would you like further explanation on how to calculate median and mean?

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Here are 5 related questions to deepen your understanding:
1. What is the median if the data set has an even number of elements?
2. How do outliers affect the mean and median?
3. Can the mean and median of a data set be the same?
4. How would you calculate the mode of this data set?
5. What is the difference between the range and standard deviation of a data set?

**Tip:** The median is less affected by extreme values (outliers) than the mean, which makes it a better measure of central tendency in skewed distributions.

Find the median and mean of the data set: 0, 45, 33, 8, 26, 25, 31

Learn how to find the median and mean of a data set with values 0, 45, 33, 8, 26, 25, 31. This solution provides a step-by-step guide to calculating the median (26) and the mean (24). Suitable for Grades 5-8.

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