Math Problem Statement

If we have the data:

5, 8, 15, 7, 10, 22, 3, 1, 15

What is the median?

Solution

To find the median, follow these steps:

  1. Arrange the data in ascending order:

    1, 3, 5, 7, 8, 10, 15, 15, 22

  2. Count the total number of data points:
    There are 9 numbers.

  3. Identify the middle number:
    Since the number of data points is odd, the median is the middle number in the sorted list.
    The middle number is the 5th number.

  4. Locate the 5th number in the ordered list:
    The 5th number is 8.

Thus, the median is 8.

Do you have any questions or need further details?

Here are 5 related questions:

  1. How do we find the median if the data set has an even number of elements?
  2. What is the difference between mean and median?
  3. How does the presence of outliers affect the median?
  4. Can the median be a decimal?
  5. How can we compute the mode of a data set?

Tip: The median is less affected by extreme values (outliers) than the mean, making it a better measure of central tendency for skewed data.

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Math Problem Analysis

Mathematical Concepts

Statistics
Measures of Central Tendency
Median

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8