Math Problem Statement

Work out the median of these numbers: 7, 4, 8, 9, 5, and 4.

Solution

To find the median of the numbers in the image, let's follow these steps:

  1. List the numbers:
    The numbers are 7, 4, 8, 9, 5, and 4.

  2. Arrange them in ascending order:
    4,4,5,7,8,94, 4, 5, 7, 8, 9.

  3. Identify the middle numbers:
    Since there are 6 numbers (an even count), the median is the average of the two middle numbers. These are the 3rd and 4th numbers: 55 and 77.

  4. Calculate the median:
    Median = 5+72=122=6\frac{5 + 7}{2} = \frac{12}{2} = 6.

Answer: The median of these numbers is 6.

Would you like a deeper explanation or have additional questions?

Here are 5 related questions to explore further:

  1. What is the difference between mean, median, and mode?
  2. How do you find the median when the data set has an odd number of values?
  3. Why is the median sometimes preferred over the mean in data analysis?
  4. What happens to the median if an outlier is added to the data set?
  5. How do you find the median in grouped data?

Tip: When arranging numbers for the median, always double-check that all values are included and properly ordered!

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Math Problem Analysis

Mathematical Concepts

Statistics
Median
Data Ordering

Formulas

Median = (middle1 + middle2) / 2 (for even numbers of data points)

Theorems

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Suitable Grade Level

Grades 5-7