1,3,3,6,7,7,8,8,8,9 calculate mean, median and mode

Let's calculate the **mean**, **median**, and **mode** for the data set:

Data: \( 1, 3, 3, 6, 7, 7, 8, 8, 8, 9 \)

### 1. Mean
The **mean** is the sum of all the values divided by the number of values.

\[
\text{Mean} = \frac{1 + 3 + 3 + 6 + 7 + 7 + 8 + 8 + 8 + 9}{10} = \frac{60}{10} = 6
\]

So, the **mean** is \( 6 \).

### 2. Median
The **median** is the middle value when the data is ordered from least to greatest. If there is an even number of values, it is the average of the two middle values.

In this case, the ordered data is already:
\[ 1, 3, 3, 6, 7, 7, 8, 8, 8, 9 \]

There are 10 values, so the middle values are the 5th and 6th:
\[ 7 \text{ and } 7 \]

\[
\text{Median} = \frac{7 + 7}{2} = 7
\]

So, the **median** is \( 7 \).

### 3. Mode
The **mode** is the value(s) that appear most frequently. In this data set, \( 8 \) appears 3 times, which is more than any other value.

So, the **mode** is \( 8 \).

### Summary:
- **Mean** = 6
- **Median** = 7
- **Mode** = 8

Would you like more details or have any questions?

Here are 5 related questions to expand on this topic:
1. What happens if a data set has more than one mode?
2. How is the mean affected by extreme values in the data set?
3. How can the median be useful in interpreting skewed data?
4. What is the difference between the mean and weighted mean?
5. How can the mode be useful in real-life applications?

**Tip:** When your data set has outliers, the median is often a better representation of central tendency than the mean.

Learn how to calculate the mean, median, and mode for the data set: 1, 3, 3, 6, 7, 7, 8, 8, 8, 9. This problem demonstrates how to use basic statistical formulas for measures of central tendency. Suitable for students in Grades 5-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation