Math Problem Statement

Find the median for this list of numbers

Solution

To find the median of the given list of numbers, we follow these steps:

  1. Extract all the numbers from the table: 32,11,25,51,84,71,89,44,27,3,79,54,75,100,5532, 11, 25, 51, 84, 71, 89, 44, 27, 3, 79, 54, 75, 100, 55

  2. Sort these numbers in ascending order: 3,11,25,27,32,44,51,54,55,71,75,79,84,89,1003, 11, 25, 27, 32, 44, 51, 54, 55, 71, 75, 79, 84, 89, 100

  3. The median is the middle number in this sorted list. Since there are 15 numbers, the median is the 8th number: Median=54\text{Median} = 54

So, the median of this list is 54.

Would you like further details or have any other questions?

Here are 5 related questions to explore:

  1. What is the difference between median and mean in statistics?
  2. How would the median change if one more number were added to the list?
  3. Can the median be affected by extreme values (outliers)?
  4. What are the advantages of using the median over the mean?
  5. How is the median used in real-world data analysis?

Tip: The median is often a better measure than the mean when data contains outliers or skewed distributions, as it represents the middle value and is less affected by extreme numbers.

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Math Problem Analysis

Mathematical Concepts

Statistics
Median

Formulas

Median = Middle value in a sorted list of numbers

Theorems

Median is the value separating the higher half from the lower half of a data sample

Suitable Grade Level

Grades 5-7