Statistics

1. Statistics Fancy Farm

2. Introduction • Using statistics is a helpful way to study different situations. Today I will demonstrate how to find the mean, median, and mode of a set of numbers.

3. Topics of Discussion • The mean (or average) is found by taking the sum of the numbers and then dividing by how many numbers you added together. • The number that occurs most frequently is the mode. • When the number are arranged in numerical order, the middle one in themean.

4. Topic One • The mean (or average) is found by adding all the numbers and then dividing by how many numbers you added together. • Example: 3,4,5,6,7 • 3+4+5+6+7= 25 • 25 divided by 5 = 5 • The mean is 5

5. Topic Two • The number that occurs most frequently is the mode. • Example: 2,2,2,4,5,6,7,7,7,7,8 • The number that occurs most frequently is 7 • The mode is 7

6. Topic Three • When numbers are arranged in numerical order, the middle one is the median. • Example: 3,6,2,5,7 • Arrange in order 2,3,5,6,7 • The number in the middle is 5 • The median is 5

7. Averaging Grades • Lowest • 55 • 60 • 75 • 80 • 80 • 80 • 83 • 83 • 93 • 93 • 93 • 93 • 93 • Highest

8. First add all the grades together. The total equals 1061 Now divide 1061 by 13 (total grades The answer is 81.61 The mean is 81.61 Lowest 55 60 75 80 80 80 83 83 93 93 93 93 93 Highest Find The mean of the following set of grades

9. The median is the number in the middle of numbers which are in order from least to greatest. If we count from both sides the number in the middle is 83. The median is 83 Lowest 55 60 75 80 80 80 83 83 93 93 93 93 93 Highest Find the median of the following numbers

10. The mode is the number which occurs most often. The number which occurs most often is 93 The mode is 93 Lowest 55 60 75 80 80 80 83 83 93 93 93 93 93 Highest Find the mode of the following grades

11. Real Life • If these were your math grades, what would you learn by analyzing them? • The mean was 81.61. In order to raise your grades, you would have to make higher than an 81.61 on the rest of your assignments. • The mode was 93 which was your highest grade. You could look at these papers to see why you made this grade the most. • The median is a 83. This means that most of your grades were higher than your average. Find your weak area and try to improve.

12. Real Life • Real Life • Knowing the mean, median, and mode will help you better understand the scores on your report card. By analyzing the data (grades) you can find your average, the grade you received most often, and the grade in the middle of your subject area. • Better understanding your grades may lead to better study habits.