Math Problem Statement

1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 4. find the median of this number sample

Solution

To find the median of a set of numbers, follow these steps:

  1. Sort the numbers in ascending order.
  2. If there is an odd number of values, the median is the middle number.
  3. If there is an even number of values, the median is the average of the two middle numbers.

Your data set:

1,1,1,2,2,3,4,4,4,4,41, 1, 1, 2, 2, 3, 4, 4, 4, 4, 4

Step 1: Check if the data is sorted

The data is already sorted: 1,1,1,2,2,3,4,4,4,4,41, 1, 1, 2, 2, 3, 4, 4, 4, 4, 4

Step 2: Find the middle number

There are 11 values in total (which is odd), so the middle value will be the 6th number.

  • The 6th number in the sequence is 3.

Thus, the median is 3.


Would you like to dive deeper into this process? Here are some related questions:

  1. How does the median differ from the mean and mode in statistics?
  2. What happens when there is an even number of values in the data set?
  3. How would the median change if you added more data points?
  4. What is the role of outliers when calculating the median?
  5. Can the median be used for non-numerical data? How?

Tip: The median is a great measure of central tendency when you want to minimize the effect of outliers in a data set.

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Math Problem Analysis

Mathematical Concepts

Statistics
Median
Data Analysis

Formulas

Median formula: if odd number of values, median = middle number; if even, median = average of two middle numbers

Theorems

Central Tendency Theorem

Suitable Grade Level

Grades 6-8