Math Problem Statement

Find the median for the set of numbers: 3.6, 6.1, 4.6, 6.6, 7.6, 2.5, 4.8

Solution

To find the median of the given set of numbers:

Numbers Provided:

3.6, 6.1, 4.6, 6.6, 7.6, 2.5, 4.8

Steps:

  1. Order the numbers in ascending order:

    • 2.5, 3.6, 4.6, 4.8, 6.1, 6.6, 7.6
  2. Count the total numbers:

    • There are 7 numbers (an odd set).
  3. Find the middle number:

    • The median is the middle number in an ordered list.
    • Here, the middle number is the 4th one: 4.8

Median:

The median is 4.8.

Would you like a detailed explanation or have any questions? Here are some additional exercises to build on this concept:

  1. What happens to the median if you add one more number to the set?
  2. How do you find the median of a set with an even number of elements?
  3. Why is the median a better measure of central tendency than the mean in some cases?
  4. Can you explain how outliers affect the median compared to the mean?
  5. How would you find the mode of this data set?

Tip: Always ensure the data is sorted before calculating the median!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Statistics
Median
Data Sorting

Formulas

Median is the middle value in an ordered data set.

Theorems

-

Suitable Grade Level

Grades 6-8