Determine the mean, median, and mode

Author: Christy White
Date Of Creation: 5 May 2021
Update Date: 1 July 2024
Anonim
Finding mean, median, and mode | Descriptive statistics | Probability and Statistics | Khan Academy
Video: Finding mean, median, and mode | Descriptive statistics | Probability and Statistics | Khan Academy

Content

Mean, median, and mode are values ​​commonly used in statistics and mathematics. While it is easy to find these values, it is also easy to mix up these terms. Read on to learn how to calculate these values ​​for a given set.

To step

Part 1 of 3: The Average

  1. Add up all the numbers in a given sequence. Let's say you're working with the numbers 2, 3, and 4. Add them together: 2 + 3 + 4 = 9.
  2. Count the number of numbers in the sequence. In this case you work with 3 numbers.
  3. Divide the sum of the numbers by the number of numbers. Take the sum of the numbers, 9, and divide it by the number of numbers, 3. 9/3 = 3. The mean, or mean of all numbers in the sequence, is 3. Remember that you don't always have a nice round number as an answer.

Part 2 of 3: The Median

  1. Arrange all numbers in the sequence from smallest to largest. Suppose you are working with the following numbers: 4, 2, 8, 1, 15. Rearrange them in ascending order, like this: 1, 2, 4, 8, 15.
  2. Find the middle number of the sequence. How you do this depends on whether you have an even or an odd number of numbers. Here's what you can do in any situation:
    • If odd, cross out the number on the far left, then the number on the far right, and repeat until there is only one number left; then that is the median. If you are dealing with the numbers 4, 7, 8, 11 and 21, then 8 is your median, because this is the middle number.
    • If even, always cross out the numbers on both sides, but you should end up with exactly two numbers in the middle. Add these two together, divide by two and you have found your median. (If the two numbers in the middle are the same, that number is your median.) When dealing with the numbers 1, 2, 5, 3, 7, and 10, your two middle numbers are 5 and 3. Count 5 and add 3 to get 8 and divide by 2. This gives 4 as your median.

Part 3 of 3: De Modus

  1. Write down all the numbers in the sequence. In this case, you are working with the numbers 2, 4, 5, 5, 4, and 5. It may be easier to arrange them in order from smallest to largest.
  2. Find the number that occurs most often. Remember, "Mode is most." In this example, the number 5 is the most common, so this is the mode. If there are two numbers that occur most often in a sequence, then this sequence is "bimodal", and if more than two numbers occur most often, the sequence is "multimodal".

Tips

  • Ordering the numbers from smallest to largest can help you find the median and the mode.