Give me 5 examples of mean, median, mode 

Here are five examples illustrating how to calculate the mean, median, and mode for different sets of numbers:

### Example 1
**Data Set**: \(4, 7, 8, 12, 14\)

1. **Mean**: Add all values and divide by the number of values:
   \[
   \text{Mean} = \frac{4 + 7 + 8 + 12 + 14}{5} = 9
   \]
2. **Median**: Middle value (since there are 5 values, it's the third one):
   \[
   \text{Median} = 8
   \]
3. **Mode**: No value repeats, so there is no mode.

---

### Example 2
**Data Set**: \(10, 15, 15, 20, 25\)

1. **Mean**:
   \[
   \text{Mean} = \frac{10 + 15 + 15 + 20 + 25}{5} = 17
   \]
2. **Median**: Middle value is 15.
   \[
   \text{Median} = 15
   \]
3. **Mode**: 15 (it appears most frequently).

---

### Example 3
**Data Set**: \(2, 3, 3, 3, 5, 8\)

1. **Mean**:
   \[
   \text{Mean} = \frac{2 + 3 + 3 + 3 + 5 + 8}{6} = 4
   \]
2. **Median**: The middle values are the third and fourth values (both 3):
   \[
   \text{Median} = \frac{3 + 3}{2} = 3
   \]
3. **Mode**: 3 (it appears most frequently).

---

### Example 4
**Data Set**: \(22, 26, 28, 30, 34, 34, 36\)

1. **Mean**:
   \[
   \text{Mean} = \frac{22 + 26 + 28 + 30 + 34 + 34 + 36}{7} \approx 30
   \]
2. **Median**: The middle value (fourth) is 30.
   \[
   \text{Median} = 30
   \]
3. **Mode**: 34 (it appears twice).

---

### Example 5
**Data Set**: \(1, 1, 2, 3, 3, 4, 4, 4\)

1. **Mean**:
   \[
   \text{Mean} = \frac{1 + 1 + 2 + 3 + 3 + 4 + 4 + 4}{8} = 2.75
   \]
2. **Median**: Middle values are 3 and 3.
   \[
   \text{Median} = \frac{3 + 3}{2} = 3
   \]
3. **Mode**: 4 (it appears most frequently).

---

Would you like more detailed explanations for any of these calculations?

### Related Questions
1. How are mean, median, and mode different from each other in interpretation?
2. What are the effects of outliers on mean, median, and mode?
3. Can a data set have more than one mode?
4. How is median calculated in an even-numbered data set?
5. Why might median be preferred over mean in some cases?

#### Tip
When a data set has outliers, the **median** is often a better measure of central tendency than the **mean** because it is less affected by extreme values.

Explore 5 examples of calculating mean, median, and mode with step-by-step solutions. This guide covers different types of data sets and explains how to find each measure of central tendency, useful for students in Grades 6-8.

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