Math Problem Statement

Find the median for this list of numbers: 39, 86, 45, 70, 75, 93, 5, 16, 100, 77, 99, 43, 81, 52, 3.

Solution

To find the median of this list of numbers, let’s go through the steps:

  1. List all numbers: From the image, the numbers are: 39,86,45,70,75,93,5,16,100,77,99,43,81,52,339, 86, 45, 70, 75, 93, 5, 16, 100, 77, 99, 43, 81, 52, 3

  2. Sort the numbers in ascending order: 3,5,16,39,43,45,52,70,75,77,81,86,93,99,1003, 5, 16, 39, 43, 45, 52, 70, 75, 77, 81, 86, 93, 99, 100

  3. Identify the middle value: Since there are 15 numbers (an odd count), the median is the middle value, which is the 8th number in this sorted list.

  4. Locate the median: The 8th number is 70.

So, the median of this list of numbers is 70.

Would you like more details on how to find the median or have any questions?

Here are some related questions for further exploration:

  1. What is the difference between median and mean in a data set?
  2. How would the median change if one additional number was added to the list?
  3. Why is the median often preferred over the mean in skewed distributions?
  4. How would you calculate the median in a data set with an even number of values?
  5. What role does the median play in statistical analysis?

Tip: Sorting the list accurately is crucial in finding the correct median, especially with larger data sets.

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Math Problem Analysis

Mathematical Concepts

Statistics
Median
Data Sorting

Formulas

Median formula for odd numbers: middle value in a sorted list

Theorems

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Suitable Grade Level

Grades 6-8