Math Problem Statement

What is the median of the following list of numbers: 86, 24, 49, 35, 65, 72, 84, 60, 99, 41, 29, 38, 70, 2, 54?

Solution

To find the median for the given list of numbers, let's extract all the values and arrange them in ascending order:

Numbers in the list:

86, 24, 49, 35, 65, 72, 84, 60, 99, 41, 29, 38, 70, 2, 54.

Step 1: Arrange in ascending order:

2, 24, 29, 35, 38, 41, 49, 54, 60, 65, 70, 72, 84, 86, 99.

Step 2: Identify the median:

The median is the middle value in an ordered list. Since there are 15 numbers (odd count), the middle number is the 8th value.

The 8th number is 54.

Final Answer:

Median = 54

Would you like further details or have any questions?


Here are 5 related questions to expand your understanding:

  1. How is the median different from the mean in a dataset?
  2. What happens if the dataset contains an even number of values?
  3. Can the median be used to analyze large datasets effectively?
  4. What is the role of outliers in affecting the median?
  5. How can we find the median in a frequency distribution?

Tip: When arranging numbers for the median, double-check the count to ensure accuracy in determining the middle value!

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Math Problem Analysis

Mathematical Concepts

Statistics
Median

Formulas

Arrange numbers in ascending order
For odd numbers: median is the middle value
For even numbers: median is the average of the two middle values

Theorems

Median Theorem

Suitable Grade Level

Grades 6-8