Statistics : Statistics Fancy Farm
Introduction : 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.
Topics of Discussion : 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 the mean.
Topic One : 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
Topic Two : 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
Topic Three : 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
Averaging Grades : Averaging Grades Lowest
55
60
75
80
80
80
83
83
93
93
93
93
93
Highest
Find The mean of the following set of grades : Find The mean of the following set of grades 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 median of the following numbers : Find the median of the following numbers 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 mode of the following grades : Find the mode of the following grades 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
Real Life : Real Life If these were your math grades, what would you learn by analysising 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 week area and try to improve.
Real Life : 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.