Finding & Using Standard Deviation. Entry Task What trends do you see in your experimental results? How confident are you in your data? (very confident,

Slides:

Advertisements

Similar presentations

Computer Programming (TKK-2144) 13/14 Semester 1 Instructor: Rama Oktavian Office Hr.: T.12-14, Th

Advertisements

Lecture 4 Chapter 2. Numerical descriptors

Variability 2011, 10, 4. Learning Topics  Variability of a distribution: The extent to which values vary –Range –Variance** –Standard Deviation**

3.2 Measures of Variability Objectives: By the end of this section, I will be able to… 1) Understand and calculate the range of a data set. 2) Explain.

Basic Statistical Concepts Psych 231: Research Methods in Psychology.

Variability Measures of spread of scores range: highest - lowest standard deviation: average difference from mean variance: average squared difference.

BHS Methods in Behavioral Sciences I

AP Biology Intro to Statistic

Standard Error for AP Biology

Learning Objectives In this chapter you will learn about the importance of variation how to measure variation range variance standard deviation.

QUIZ CHAPTER Seven Psy302 Quantitative Methods. 1. A distribution of all sample means or sample variances that could be obtained in samples of a given.

Measures of Dispersion Week 3. What is dispersion? Dispersion is how the data is spread out, or dispersed from the mean. The smaller the dispersion values,

Statistical Analysis How do we make sense of the data we collect during a study or an experiment?

Topic 6.1 Statistical Analysis. Lesson 1: Mean and Range.

Standard Deviation!. Let’s say we randomly select 9 men and 9 women and ask their GPAs and get these data: MENWOMEN

PARAMETRIC STATISTICAL INFERENCE

Understanding Numerical Data

By C. Kohn Waterford Agricultural Sciences.   A major concern in science is proving that what we have observed would occur again if we repeated the.

Introduction - Standard Deviation. Journal Topic  A recent article says that teenagers send an average of 100 text messages per day. If I collected data.

Nature of Science Science Nature of Science Scientific methods Formulation of a hypothesis Formulation of a hypothesis Survey literature/Archives.

Thinking About Psychology: The Science of Mind and Behavior 2e Charles T. Blair-Broeker Randal M. Ernst.

Table of Contents 1. Standard Deviation

MATH IN THE FORM OF STATISTICS IS VERY COMMON IN AP BIOLOGY YOU WILL NEED TO BE ABLE TO CALCULATE USING THE FORMULA OR INTERPRET THE MEANING OF THE RESULTS.

Make observations to state the problem *a statement that defines the topic of the experiments and identifies the relationship between the two variables.

By: Amani Albraikan 1. 2  Synonym for variability  Often called “spread” or “scatter”  Indicator of consistency among a data set  Indicates how close.

3 common measures of dispersion or variability Range Range Variance Variance Standard Deviation Standard Deviation.

STATISTICS. What is the difference between descriptive and inferential statistics? Descriptive Statistics: Describe data Help us organize bits of data.

Statistical analysis. Types of Analysis Mean Range Standard Deviation Error Bars.

9.3 – Measures of Dispersion

Review: Measures of Dispersion Objectives: Calculate and use measures of dispersion, such as range, mean deviation, variance, and standard deviation.

Safe Landings FORCE & ACCELERATION NEWTON’S 2 ND LAW.

Statistics in IB Biology Error bars, standard deviation, t-test and more.

Unit 2 (F): Statistics in Psychological Research: Measures of Central Tendency Mr. Debes A.P. Psychology.

RESEARCH & DATA ANALYSIS

Measure of Central Tendency and Spread of Data Notes.

Standardized Testing. Basic Terminology Evaluation: a judgment Measurement: a number Assessment: procedure to gather information.

Variability Introduction to Statistics Chapter 4 Jan 22, 2009 Class #4.

Descriptive Statistics Used in Biology. It is rarely practical for scientists to measure every event or individual in a population. Instead, they typically.

CHAPTER 11 Mean and Standard Deviation. BOX AND WHISKER PLOTS  Worksheet on Interpreting and making a box and whisker plot in the calculator.

2.4 Measures of Variation The Range of a data set is simply: Range = (Max. entry) – (Min. entry)

Chapter 1 Lesson 7 Variance and Standard Deviation.

Statistics in Forensics

CHAPTER 1 Exploring Data

AP Biology Intro to Statistics

Standard Error for AP Biology

Objectives The student will be able to:

CHAPTER 1 Exploring Data

Estimating the Population Mean Income of Lexus Owners

Standard Error for AP Biology

CHAPTER 1 Exploring Data

By C. Kohn Waterford Agricultural Sciences

Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Spring 2016 Room 150 Harvill.

AP Biology Intro to Statistics

Introduction to Statistics for the Social Sciences SBS200 - Lecture Section 001, Fall 2016 Room 150 Harvill Building 10: :50 Mondays, Wednesdays.

AP Biology Intro to Statistic

AP Biology Intro to Statistic

Summary descriptive statistics: means and standard deviations:

AP Biology Intro to Statistic

Standard Error for AP Biology

Standard Deviation & Standard Error

CHAPTER 1 Exploring Data

CHAPTER 1 Exploring Data

CHAPTER 1 Exploring Data

Sample Standard Deviation

Requirements Lab book Text book Standard deviation little sheet

Standard Deviation!.

CHAPTER 1 Exploring Data

The Mean Variance Standard Deviation and Z-Scores

Statistics in Biology: Standard Error of the Mean & Error Bars

Presentation transcript:

Finding & Using Standard Deviation

Entry Task What trends do you see in your experimental results? How confident are you in your data? (very confident, not very confident) Why? Do you think you can make a strong conclusion from your results?

Have Out Speed Bumps completed Bar Graphs Reading Summaries

Finding Standard Deviation 1.Find the mean (or average) of your samples 2.Find the variance ① Find the difference from the mean for each sample number ② Square each difference from the mean ③ Find the average squared difference from the mean 3.The Standard Deviation is the square root of the variance

Practice Calculating Standard Deviation 15 minutes

Calculate SD for your experiment (10 minutes) Check your results with your group. You should all find the same SD for your data.

Why Standard Deviation? Standard deviation tells you how spread out the results for a condition are Are they concentrated around an area? Are they spread far and wide?

Mean seems to show stronger Product Reliability…. Until you look at SD The large SD shows respondents were polarized and product reliability varied for consumers

Why Standard Deviation? If our data are spread out (large SD), Our results may not be reliable. This usually happens when an important variable is not controlled well or maybe not at all OR we haven’t collected enough data

Graph your standard deviation onto your bar graph To Graph the SD, 1.Add your SD to your average. You should have a number larger than the average for that condition. 2.Find that point on your graph above the bar for that condition 3.Draw a line from the top of the bar to the point 4.Subtract your SD from your average. You should have a number smaller than your average for that condition. 5.Repeat steps 2 & 3 but below the top of the bar

Interpreting Standard Deviation SD bars tell us the range where our data are clustered. When SD bars for two conditions overlap, that means the overlapping portion could have been produced by either condition. If we are expecting to prove a difference between two conditions, the more the bars overlap, the lower our confidence that there is a difference between the conditions.

Practice Interpreting Standard Deviation What do your standard deviation bars seem to tell you about your experiment? 15 minutes

Homework: 1.Finish! Science Fair Assignment #1 DUE 10/01/15 2.Write a conclusion for your Speed Bumps lab including information from your SD calculations / bars to explain the strength of your confidence in your data/ conclusion.