Median
The median is the middle value in a data set when the numbers are arranged in order from least to greatest. If the set has an odd number of values, the median is the single middle number. If there is an even number, the median is the average of the two middle numbers. For example, the median of 11, 14, 19, 23, 25 is 19, while the median of 10, 20, 30, 40 is (20 + 30) / 2 = 25. This statistics concept is taught in Chapter 4 of Saxon Math Course 2 and is a key 7th grade data analysis skill.
Key Concepts
Property The median of a set of numbers is the middle number of the set when the numbers are arranged in order. Half of the scores are at or below the median score, and half of the scores are at or above the median score.
Examples In the set of scores $11, 14, 19, 23, 25$, the median is $19$. In the set $10, 20, 30, 40$, the median is the average of the two middle numbers: $(20+30) \div 2 = 25$. For a set with 35 scores, the median is the 18th value when ordered, since 17 scores will be below it and 17 above.
Explanation Imagine lining up your classmates by height. The median is the person standing perfectly in the center—not the tallest or shortest, just the middle! If there's an even number of people, the two in the middle find the average height. The median tells you the true midpoint of your data, ignoring any super tall giants or tiny friends who might skew the average.
Common Questions
What is the median in math?
The median is the middle number in an ordered data set. Half the values fall below the median and half fall above it, making it a measure of central tendency.
How do you find the median of a data set?
Arrange the numbers in order. If there is an odd count, the median is the middle number. If even, average the two middle numbers.
What is the median of 10, 20, 30, 40?
Since there are four numbers (even count), average the two middle values: (20 + 30) / 2 = 25.
What is the difference between mean and median?
The mean is the sum divided by the count (the average). The median is the middle value when sorted. The median is less affected by extreme outliers than the mean.
When is the median more useful than the mean?
The median is better when data has outliers or is skewed. For example, in housing prices, a few very expensive homes can inflate the mean, but the median stays more representative.
Is the median taught in 7th grade math?
Yes. Saxon Math Course 2 introduces the median in Chapter 4 as part of data analysis and statistics.