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 the mean.

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
• 34567 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

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Find The mean of the following set of grades

• Lowest
• 55
• 60
• 75
• 80
• 80
• 80
• 83
• 83
• 93
• 93
• 93
• 93
• 93
• Highest

• 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

9
Find the median of the following numbers

• Lowest
• 55
• 60
• 75
• 80
• 80
• 80
• 83
• 83
• 93
• 93
• 93
• 93
• 93
• Highest

• 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

10
Find the mode of the following grades

• Lowest
• 55
• 60
• 75
• 80
• 80
• 80
• 83
• 83
• 93
• 93
• 93
• 93
• 93
• Highest

• The mode is the number which occurs most often.
• The number which occurs most often is 93
• The mode is 93

11
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.

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.