Math Problem Statement

what is the median of these numbers 25, 8, 3, 12, 13, 33, 4, 14, 8, 4, 3, 3, 6, 14, 3

Solution

To find the median of a set of numbers, follow these steps:

  1. Arrange the numbers in ascending order:

    3, 3, 3, 3, 4, 4, 6, 8, 8, 12, 13, 14, 14, 25, 33

  2. Determine the number of elements:

    There are 15 numbers in total.

  3. Find the middle number:

    Since there are 15 numbers (an odd count), the median is the middle value in the sorted list. The middle position is 15+12=8\frac{15 + 1}{2} = 8.

  4. Look at the 8th number in the list:

    The 8th number is 8.

So, the median is 8.

Would you like more details or have any questions? Here are 5 related questions for deeper exploration:

  1. What if the list had an even number of elements? How would the median be calculated?
  2. How does the presence of repeated numbers affect the median?
  3. Can you explain the difference between median and mean?
  4. What is the mode of this set of numbers, and how does it compare to the median?
  5. Why is the median useful in statistics, especially in comparison to the mean?

Tip: When handling skewed data, the median is often a better measure of central tendency than the mean because it is not influenced by outliers.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Statistics
Measures of Central Tendency
Median

Formulas

Median of an odd number of elements: (n + 1) / 2 where n is the total number of elements

Theorems

-

Suitable Grade Level

Grades 6-8