My Shot to the Class!!! "Measures of Central Tendency"
On the 18th day of July, 2011, I gave my best shot in inculcating to my classmates the topic assigned to me. They cheerfully participated in the wake-up dance and gladly answered the personality check.
After the quick intermezzo, the slides for the days topic, Measures of Central Tendency/Location started to appear on the screen. An active exchange of knowledge took place as my classmates interact with me by answering the drills and exercises that it prepared. Because of this, I truly thank them.
Measures of Central Tendency is a measure that tells us where the middle of a bunch of data lies. The three most common measures of central tendency are the mean, the median, and the mode.
More about Measures of Central Tendency
• Mean: Mean is the most common measure of central tendency. It is simply the sum of the numbers divided by the number of numbers in a set of data. This is also known as average.
• Median: Median is the number present in the middle when the numbers in a set of data are arranged in ascending or descending order. If the number of numbers in a data set is even, then the median is the mean of the two middle numbers.
• Mode: Mode is the value that occurs most frequently in a set of data.
Examples of Measures of Central Tendency
• For the data 1, 2, 3, 4, 5, 5, 6, 7, 8 the measures of central tendency are
Mean =4.56
Median = 5
Mode = 5
Solved Example on Measures of Central Tendency
Find the measures of central tendency for the data set 3, 7, 9, 4, 5, 4, 6, 7, and 9.
Choices:
A. Mean = 6, median = 6 and modes are 4, 7 and 9
B. Mean = 6, median = 6 and mode is 4
C. Mean = 6, median = 6 and modes are 4 and 9
D. Mean = 6, median = 9 and modes are 4, 7 and 9
Correct Answer: A
Solution:
Step 1: Mean, median and mode of a data set are the measures of central tendency.
Step 2: Mean of the data set = [Formula.]
Step 3: [Substitute the values.]
Step 4: [Add the data values in the numerator and divide.]
Step 5: The data set in the ascending order is 3, 4, 4, 5, 6, 7, 7, 9, and 9. So, Median of the set is 6. [Median is the middle data value of the ordered set.]
Step 6: Mode is/are the data value(s) that appear most often in the data set. So, the modes of the data set are 4, 7 and 9.
Step 7: So, the measures of central tendency of the given set of data are mean = 6, median = 6 and modes are 4, 7, and 9.
Other References:
PDF file
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Power Point
Youtube
We are from NDMU graduate-students.This blog site is designed as a partial requirement in Educ213 (Advanced Educational Statistics). With this blog, the author is aspiring for strategies and methods which are useful to develop his potentials for 21st century skills which are blended with higher order thinking skills,ICT and multimedia.
Monday, July 4, 2011
Measures of Variability
The demonstration of Mr. Jake P. Evangelio about his topic was very good. The presenter was very equipped with the knowledge about the topic that he was able to answers our queries. At first he explained the basic equations that will be used to solve for more complicated equation later.
The way of reporting was very nice because the reporter explains his report in a manner that is not too fast.
Here are topics that was discussed by the reporter:
A. Review of getting the Mean
B. Absolute Variability
C. Total Range
D. Kelly Range
E. Quartile Deviation
F. Average Deviation
G. Variance
H. Class Deviations
Simple Correlation
Today is another beautiful day for Statistics lessons. Today’s lesson will be discussed by our Professor, Ma’am Ava. We were very surprised when she told us to prepare our laptop to be used in solving some drills. We listen attentively to our Professor as she gives her instruction.
I have a hard time because I don't have my laptop yet.That's why I loan to buy a laptop.On the second day of our class,I am ashamed because I don't know how to manipulate my laptop. As I can see my classmates, they have difficulty in manipulating their laptops. But as the time goes by, I and my classmates catch up to the lesson and able to solve problem. Lucky I have my classmate who help me in blogging and my little knowledge in Microsoft Excel helps a lot.
The discussion was very fine because Ma’am Ava delivers the instruction/lesson slowly but surely.
Simple Regression
Presented by:
It is quite amazing to see people striving to learn and align himself/herself to the new trends of education coupled with technology. I am talking about my classmate Ma’am Rosemarie Deles Reyes. For her “Age doesn’t matter” in learning. First and foremost, she confessed to us that she only have a little knowledge about the Information and Communication Technology (ICT) being integrated in the teaching and presenting her report.
On the first part of her report, she introduced to us the definition and the formulas used to calculate Simple Regression. Then, we laugh when she distributed the graphing paper. On our mind, using chalk/white board marker and a graphing paper is an old fashion tool used in statistic. But as we perform and activity, we enjoyed solving and in manual way. The experience was very nice.
Focus on the Normal Probability
Presented by: Sharon Rose Toledo, Melba Sutaron and Lilibeth Macaya
They show a very well-motivated mood in presenting their topics. They have a very amazing slides which general caught our attention. their topics involve diagrams/graphs that show the characteristics of a Normal Curve. They discussed it form the simple to a more complex ideas. During the presentation, we enjoyed a smooth communication with the reporter. Questions was also addressed properly.
Statistical Estimation & Sampling
Presented By:
Marmaee or “bok” is my co-teacher at Lagao Central Elementary School. She’s known to be good in computer and artistic when it comes into presentation and designing school program and tarpaulins. She presented her report with a very unique design of power point presentation. Although the topic is quite difficult, she managed to explain this in a very easy way.
Her report was all about Statistical Estimation and Sampling. We understand properly the procedure of how to get and calculate the number of samples in a given population for your research. The reporter also answers the questions raised by our classmate properly. Keep up the good work bok.
Normal Probability Distribution
Presented by:Sharon Rose P. Toledo
Maam Sharon is very serious and good when it comes into reporting. She really find time to study her report properly so that she can convey this to our classmate correctly.
Her topic was all about the Normal Probability Distribution. With the help of powerpoint presentation. Sharon showed to us the definition, formulas and the way of calculating the normal curve. She also Included in her report about the Divergence normality, the Kurtosis and Skewness.
Intro to Collado E-Portfolio
This E-Portfolio in Educ 213 is another innovative portal for us students to learn more about to the new methods, strategies and techniques in integrating Information and Communication Technology (ICT) in our lessons. This portal presents a forthright state-of-the-art 21st Century skills in developing the higher order thinking skills and multiple intelligences of the students.
Join me, MARNELLE M. COLLADO, with my new friends, as we venture into an astonishing way of learning in the cyber world that will surely help us achieving our noble dreams.
I. The Isles of My Portfolio in Educ 216
Chapter 1 Introduction to Statistics
Chapter 2 Variables : The Subject Matter for Statistics & Research
Chapter 3 Measures of Central Location
Chapter 4 Measures of Variation
Chapter 5 Simple Correlation
Chapter 6 Simple Regression
Chapter 7 The Normal Probability Distribution
Chapter 8 Statistical Estimation & Sampling Theory
Chapter 9 Statistical Inference
II. STUDENTS' OUTPUTS of E-PORTFOLIO
1. Powerpoint Presentations
2. Hand-outs of Report
2. Video for Demo Teaching
3. Resources / Links
4. Multimedia
5. Games
Join me, MARNELLE M. COLLADO, with my new friends, as we venture into an astonishing way of learning in the cyber world that will surely help us achieving our noble dreams.
I. The Isles of My Portfolio in Educ 216
Chapter 1 Introduction to Statistics
Chapter 2 Variables : The Subject Matter for Statistics & Research
Chapter 3 Measures of Central Location
Chapter 4 Measures of Variation
Chapter 5 Simple Correlation
Chapter 6 Simple Regression
Chapter 7 The Normal Probability Distribution
Chapter 8 Statistical Estimation & Sampling Theory
Chapter 9 Statistical Inference
Chapter 10 Z-Test of One Sample Means
Chapter 11 T-Test of Significance
Chapter 12 ANOVA
Chapter 13 Factorial ANOVA
Chapter 14 The Chi-Square Test
II. STUDENTS' OUTPUTS of E-PORTFOLIO
1. Powerpoint Presentations
2. Hand-outs of Report
2. Video for Demo Teaching
3. Resources / Links
4. Multimedia
5. Games
What is a E-portfolio?
A portfolio is a collection of work developed across varied contexts over time. The portfolio can advance learning by providing students and/or faculty with a way to organize, archive and display pieces of work.
The electronic format allows faculty and other professionals to evaluate student portfolios using technology, which may include the Internet, video, and animation. Electronic portfolios are becoming a popular alternative to traditional paper-based portfolios because they offer practitioners and peers the opportunity to review, communicate and assess portfolios in an asynchronous manner.
Most people are familiar with student portfolios, however, higher education institutions are starting to create departmental and institutional portfolios as a means for evaluating student learning on a more global level. Institutional portfolios provide a means of assessing the impact of the entire educational experience on student learning. They can be used to drive internal improvement and external accountability. Like student portfolios, they allow for internal improvement and external accountability, but on the level of the whole institution.
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