11. What is the mean for the given population data? 7, 8, 13, 9, 10, 11

To calculate the mean of a population, we use the formula:

\[
\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}}
\]

The given data points are: 7, 8, 13, 9, 10, 11.

First, we sum the values:

\[
7 + 8 + 13 + 9 + 10 + 11 = 58
\]

Now, divide the sum by the number of values (6):

\[
\text{Mean} = \frac{58}{6} \approx 9.67
\]

So, the mean for the given population data is approximately **9.67**.

Would you like more details or have any questions about this?

Here are 5 related questions to expand on this concept:
1. How do you calculate the median for the same dataset?
2. What is the range of this population data?
3. How would the mean change if one more number, say 15, is added to the dataset?
4. Can you explain how the mean differs from the mode?
5. What are the differences between a population mean and a sample mean?

**Tip:** The mean is sensitive to extreme values (outliers), so large or small numbers can significantly affect it.

What is the mean for the given population data? 7, 8, 13, 9, 10, 11

Learn how to calculate the mean of a population dataset with values 7, 8, 13, 9, 10, and 11. This problem demonstrates the process of summing data points and dividing by the total number of values to find the average, a fundamental concept in statistics. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation