find median 3, 4, 8, 8, 8, 10, 11, 20, 37, 46


To find the median of the data set \(3, 4, 8, 8, 8, 10, 11, 20, 37, 46\), follow these steps:

1. **Order the data**: The data is already in ascending order.

2. **Count the number of data points**: There are 10 data points.

3. **Determine the position of the median**: Since the number of data points is even (10), the median is the average of the two middle numbers. The middle numbers are the 5th and 6th values in the ordered list.

4. **Identify the 5th and 6th numbers**: In this data set, the 5th number is 8, and the 6th number is 10.

5. **Calculate the median**: 
   \[
   \text{Median} = \frac{8 + 10}{2} = \frac{18}{2} = 9
   \]

So, the median of the data set is \(9\).

Would you like more details or have any questions?

Here are 5 related questions:

1. How would the median change if the data set had an odd number of elements?
2. Can the median be one of the numbers in the data set?
3. How do outliers affect the median compared to the mean?
4. What is the mode of this data set?
5. How would you calculate the mean of this data set?

**Tip:** The median is often more representative of the "typical" value in a data set, especially when there are outliers.

Discover how to find the median of the data set 3, 4, 8, 8, 8, 10, 11, 20, 37, 46 with a detailed step-by-step guide. Learn about descriptive statistics and how to calculate the median for a set of numbers. Suitable for Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation