Math Problem Statement

Find the median for this list of numbers: 41, 18, 72, 71, 83, 59, 84, 90, 69, 78, 21, 79, 85.

Solution

To find the median of the list of numbers shown, let's proceed with the following steps:

  1. List the numbers in ascending order: The numbers given are: 41,18,72,71,83,59,84,90,69,78,21,79,8541, 18, 72, 71, 83, 59, 84, 90, 69, 78, 21, 79, 85

  2. Sort these numbers: Arranging them in ascending order, we get: 18,21,41,59,69,71,72,78,79,83,84,85,9018, 21, 41, 59, 69, 71, 72, 78, 79, 83, 84, 85, 90

  3. Determine the median: Since there are 13 numbers (an odd count), the median is the middle number. This will be the 7th number in the ordered list.

    The 7th number is 72.

Answer: The median is 72.

Would you like further explanation on the calculation, or do you have other questions?

Here are some related questions for practice:

  1. What is the mode of this list of numbers?
  2. How would you calculate the mean (average) of this list?
  3. What if the list had an even number of items? How would that affect finding the median?
  4. How does the median change if a number, like 100, is added to this list?
  5. What is the range of the list, and how is it calculated?

Tip: When finding the median, always ensure the numbers are sorted first. For an odd count, select the middle; for an even count, average the two middle numbers.

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Math Problem Analysis

Mathematical Concepts

Statistics
Median

Formulas

Median formula: middle number of a sorted list (if odd count); average of two middle numbers (if even count)

Theorems

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Suitable Grade Level

Grades 6-8