The Next Phase in Statistics is Data Analysis. In this segment we will be focusing on the following:
.1 Averages
.2 Histogram
.3 Other forms of presentation (Dot Diagram, Stem and Leaf)
Follow through the following series of tasks
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.1 Averages
'Before you can begin to understand statistics, there are four terms you will need to fully understand. The first term 'average' is something we have been familiar with from a
very early age when we start analyzing our marks on report cards. We add together all of our test results and then divide it by the sum of the total number of marks there are. We often call it the average. However, statistically it's the Mean!' [source: http://math.about.com]
Your task:
- Define the following statistical terms: Mean, Mode and Median
- You may refer to the following link for assistance [click here]
- Provide an example on each of the terms
- When do we use mean, mode or median?
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.2 Frequency Table and Histogram
Identify the characteristics of a Histogram.
What is/are the primary difference/s between Histogram and Bar Chart?
Your Task
Do a simple survey in class and complete the following tasks
Complete a Frequency Table
- Use Numbers and Plot a Histogram (label the axes and provide a suitable Title)
- Find the (a) mean, (b) mode and (c) median
- Which of the above averages ie. mean, mode or median you think best represents your findings about your survey? Why?
Group 1: Birth months of all your classmates
Group 2: Home location of all your classmates (North, South, East, West)
Group 3: Number of siblings of individual student
Group 4: Types of CCA
Group 5: Favourite genre of movies: Horror, Comedy, Thriller, etc etc
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Other types of Representation
1)Definition:
ReplyDeleteMean: The quotient of several numbers
Mode: The number that occurs the most frequent
Median: The middle number of several numbers.
2)Examples:
11 22 33 44 66 66
Mean: 11+22+33+44+66+66/6 = 242
Mode: 66
Median: 33+44/ 2= 38.5
3)Mean: When we want to find the average of a group of numbers
Mode: When we are finding the number that occurs the most frequent.
Median: The numbers should be arranged in an ascending order when finding the middle number.
1.
ReplyDeleteMean-The middle number of a group of number
Median-The middle entry in the list after sorting the list into an increasing order
Mode-A number that occurs the most in a list of numbers
3.
Example of Mean
Four tests results: 15, 18, 22, 20
The sum is: 75
Divide 75 by 4: 18.75
The Mean is 18.75
Example of Mode
Find the mode of:
9, 3, 3, 44, 17 , 17, 44, 15, 15, 15, 27, 40, 8,
Put the numbers is order:
3, 3, 8, 9, 15, 15, 15, 17, 17, 27, 40, 44, 44,
The Mode is 15 (15 occurs the most at 3 times)
Example of Median
Find the Median of: 9, 3, 44, 17, 15
Line up your numbers: 3, 9, 15, 17, 44 (smallest to largest)
The Median is: 15 (The number in the middle)
4. Analysis of test or exam results, To attract people to a job, In maths, Measure central tendency, Dealing with categorical data.
Information taken from http://math.about.com/library/weekly/aa020502a.htm
1. A Median is the middle number of the set of numbers. A Mode is a number that occurs the most in the set of numbers. A Mean is the average value of the set of numbers.
ReplyDelete3. An example of a mean is, the total sum of the set of numbers "5+6+10+7" and divide it by the number of numbers in the set. An example of a Median is the set of numbers, "3, 5, 6, 9, 10" The Median would be "6". An example of a Mode is the set of numbers "2, 5, 5, 6, 10". The mode would be 5.
4. You use Mean when you have a very long set of numbers and use it to shorten the amount time for counting the total number of numbers by counting the Median and multiplying it by two. You use Mode when you want to find a number that occurs the most.
Daniel Chan, Foo Zhi Xiang, Tay Kun Yao, Kenneth Teh (105)
1.Mean- The quotient of the sum of several quantities and their number
ReplyDeleteMode- The statistics of the value that occurs most frequently in a given set of data
Median- Denoting or relating to a value or quantity lying at the midpoint of a frequency distribution of observed values or quantities, such that there is an equal probability of falling above or below it.
3.
Example of Mean
Four tests results: 16, 19, 23, 21
The sum is: 79
Divide 75 by 4: 19.75
The Mean is 19.75
Example of Mode
Find the mode of:
10, 4, 4, 45, 18 , 18, 45, 16, 16, 16, 28, 41, 9,
Put the numbers is order:
4, 4, 9, 10, 16, 16, 16, 18, 18, 28, 41, 45, 45,
The Mode is 16 (16 occurs the most at 3 times)
Example of Median
Find the Median of: 10, 4, 45, 18, 16
Line up your numbers: 4, 10, 16, 18, 45 (smallest to largest)
The Median is: 16 (The number in the middle)
4. We use it in school because it is in the syllabus.