Math Problem Statement

Work out the median of these numbers: 18, 14, 17, 6, 13, 2

Solution

To find the median of the given numbers:

  1. List the numbers in ascending order: The numbers are: 18, 14, 17, 6, 13, 2 Ordered from smallest to largest: 2, 6, 13, 14, 17, 18

  2. Count the number of values: There are 6 numbers, which is an even number.

  3. Find the middle two numbers: The middle two numbers are the 3rd and 4th numbers in the ordered list: 13 and 14.

  4. Calculate the median: Since there are two middle numbers, the median is the average of 13 and 14. Median=13+142=272=13.5\text{Median} = \frac{13 + 14}{2} = \frac{27}{2} = 13.5

So, the median is 13.5.

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:

  1. What is the difference between mean and median?
  2. How do you find the median if the data set has an odd number of values?
  3. Why is the median less affected by outliers compared to the mean?
  4. How can the mode be useful in a set of numbers alongside the median?
  5. What changes if one of the numbers in the set is doubled?

Tip: The median is particularly useful in skewed distributions where the mean might be misleading.

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Math Problem Analysis

Mathematical Concepts

Statistics
Median
Data Ordering

Formulas

Median for an even set of numbers: Median = (n/2-th number + (n/2 + 1)-th number) / 2

Theorems

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Suitable Grade Level

Grades 5-7