Measures of central tendency Mean Median Mode How is it calculated? ‘ Average’ – Calculated by adding up all the scores and then dividing by the number.

Slides:



Advertisements
Similar presentations
Mean, Mode, and Median Mean: A measure of central tendency which is more commonly known as an "average." The average or mean is calculated by adding all.
Advertisements

Appendix A. Descriptive Statistics Statistics used to organize and summarize data in a meaningful way.
IB Math Studies – Topic 6 Statistics.
Statistics, Graphs and Examples What you need to support your “must knows”
Statistics: An Introduction Alan Monroe: Chapter 6.
Lect 10b1 Histogram – (Frequency distribution) Used for continuous measures Statistical Analysis of Data ______________ statistics – summarize data.
Hypothesis Testing. G/RG/R Null Hypothesis: The means of the populations from which the samples were drawn are the same. The samples come from the same.
Social Research Methods
Students in a Grade 7 class measured their pulse rates. Here are their results in beats per minute. 97, 69, 83, 66, 78, 8, 55, 82, 47, 52, 67, 76, 84,
Measures Of Central Tendency “AVERAGES”. Measures Of Central Tendency In finding the single number that you felt best described the position at which.
Data Handling GCSE coursework. Hypothesis Collection of Data Data Handling GCSE coursework Hypothesis.
Statistical Analysis I have all this data. Now what does it mean?
Fall 2013 Lecture 5: Chapter 5 Statistical Analysis of Data …yes the “S” word.
Statistics in psychology Describing and analyzing the data.
6.1 What is Statistics? Definition: Statistics – science of collecting, analyzing, and interpreting data in such a way that the conclusions can be objectively.
Copyright © Allyn & Bacon 2007 Chapter 2: Research Methods.
Descriptive Statistics Descriptive Statistics describe a set of data.
Statistical Analysis I have all this data. Now what does it mean?
Thinking About Psychology: The Science of Mind and Behavior 2e Charles T. Blair-Broeker Randal M. Ernst.
Lecture 5: Chapter 5: Part I: pg Statistical Analysis of Data …yes the “S” word.
TYPES OF STATISTICAL METHODS USED IN PSYCHOLOGY Statistics.
The Nature of Science & Science Skills Test Review.
Chapter 15 Basic Statistics. §15.1 thru 15.4 – Graphs Bar graphs – Example 1 p. 483 – Problems 15.1 #18, 20, 22 (p. 483) Circle graphs – Figure 15.2 p.
Descriptive Statistics Descriptive Statistics describe a set of data.
Statistics in Biology. Histogram Shows continuous data – Data within a particular range.
Research Methods. Measures of Central Tendency You will be familiar with measures of central tendency- averages. Mean Median Mode.
FREQUANCY DISTRIBUTION 8, 24, 18, 5, 6, 12, 4, 3, 3, 2, 3, 23, 9, 18, 16, 1, 2, 3, 5, 11, 13, 15, 9, 11, 11, 7, 10, 6, 5, 16, 20, 4, 3, 3, 3, 10, 3, 2,
 Two basic types Descriptive  Describes the nature and properties of the data  Helps to organize and summarize information Inferential  Used in testing.
Making sense of data We got to deal with some Math here folks.
The Nature of Science & Science Skills Test Review.
2 Kinds of Statistics: 1.Descriptive: listing and summarizing data in a practical and efficient way 2.Inferential: methods used to determine whether data.
Chapter Eight: Using Statistics to Answer Questions.
Appendix B: Statistical Methods. Statistical Methods: Graphing Data Frequency distribution Histogram Frequency polygon.
PSYCHOLOGY IA THE RESULTS. RATIONALE/PURPOSE The results section is where you report the results that you have found from your experiment. The results.
Data Analysis.
Research Methods Exam Qs & Mark Scheme Booklet FIND THE JUNE 2011 QS: READ THROUGH THEM HIGHLIGHT THE KEY PARTS OF THEM MARK SCHEME E.G. EXAMPLES ON EACH.
Psychology’s Statistics Psychology’s Statistics Appendix (page A1 - A13)
Experimental Methods: Statistics & Correlation
The number which appears most often in a set of numbers. Example: in {6, 3, 9, 6, 6, 5, 9, 3} the Mode is 6 (it occurs most often). Mode : The middle number.
Chapter II Methods for Describing Sets of Data Exercises.
Measures of Central Tendency Mean, Median, Mode, Range Standard VII-5.
Practice As part of a program to reducing smoking, a national organization ran an advertising campaign to convince people to quit or reduce their smoking.
Data Analysis. Statistics - a powerful tool for analyzing data 1. Descriptive Statistics - provide an overview of the attributes of a data set. These.
Extension: How could researchers use a more powerful measure of analysis? Why do you think that researchers do not just rely on descriptive statistics.
Measures of Central Tendency, Variance and Percentage.
Lesson 5 DATA ANALYSIS. Am I using and independent groups design or repeated measures? Independent groups Mann- Whitney U test Repeated measures Wilcoxon.
Welcome to MM305 Unit 2 Seminar Dr. Bob Statistical Foundations for Quantitative Analysis.
Data measurement, probability and Spearman’s Rho
Practice As part of a program to reducing smoking, a national organization ran an advertising campaign to convince people to quit or reduce their smoking.
Statistical Reasoning in Everyday Life
Statistics in psychology
Statistics.
Information used to create graphs and find statistics
Experimental Methods: Statistics & Correlation
Measures of Central Tendency & Range
Social Research Methods
STATS DAY First a few review questions.
Statistical Evaluation
Descriptive Statistics
STATISTICS Topic 1 IB Biology Miss Werba.
Lesson 12: Presentation and Analysis of Data
Chapter Nine: Using Statistics to Answer Questions
Research Methods: Data analysis and reporting investigations.
Practice As part of a program to reducing smoking, a national organization ran an advertising campaign to convince people to quit or reduce their smoking.
Descriptive Statistics
Skills 5. Skills 5 Standard deviation What is it used for? This statistical test is used for measuring the degree of dispersion. It is another way.
Spearman’s Rank Correlation Coefficient
Graphs and Chi Square.
Analyzing and Interpreting Quantitative Data
PSYCHOLOGY AND STATISTICS
Presentation transcript:

Measures of central tendency Mean Median Mode How is it calculated? ‘ Average’ – Calculated by adding up all the scores and then dividing by the number of scores ‘ Middle score’- calculated by putting all scores in order then picking the middle score The most frequently occurring score

I can explain the difference between a Frequency Diagram, Bar chart, Histogram and Scatter graph I can understand when each one should be used

When do we use them… match them up! Frequency Diagram Bar chart Histogram Scatter graph Used to show a relationship or correlation between two variables Used to show continuous data such as time or number of words recalled Measuring how often something happens Used to show the average or percentages in a data set

I can explain what significance levels are I can explain what type 1 and type 2 errors are

Exam Qs or page 562

Write an directional, non-directional and null hypothesis for this experiment To investigate if boys or girls do better in English GCSE

We found some results!! Measuring A* to C Grades as a pass: We found... Girls 88% Boys 84%

But is the difference Significant… How sure are we that the differences in our results are due to our IV? Or Just due to CHANCE? ◦Were they just lucky with the questions…

P ≤ 0.01 or 1% P ≤ 0.05 or 5% We want to be as sure as we can that the differences in our results are due to our IV and NOT chance! P is like Chance – Possibility! P is known as the Level of Significance Or a level of possibility that our results were due to chance

So with a significance level of P ≤ 0.05 we are 95% sure the differences in our results are due to the manipulation of our IV With only a 5% risk of them being due to chance So with a significance level of P ≤ 0.01 we are 99% sure the differences in our results are due to the manipulation of our IV With only a 1% risk of them being due to chance P ≤ 0.01 P ≤ 0.05

If our results are significant… We accept our directional hypothesis We reject our null hypothesis If our results are NOT significant… We reject our directional hypothesis We accept our null hypothesis

Finding Significance… Observed value: The value we get from our results (using a statistical test) Critical Value: The result we have to compare it to (See Page 582)

One or two tailed? One tailed: Directional Hypothesis Two tailed: Non-directional Hypothesis

What if we make a mistake… ooops! Type 1 Error ◦A null hypothesis is rejected when it should not have been ◦(our results were NOT significant… ooops!) ◦Optimism (O for one!) Type 2 Error ◦A null hypothesis is accepted when it should not have been ◦Our results were significant, but at a different level ◦We chose P ≤ 0.01, could have been significant at P ≤ 0.05 ◦Pessimism