Data Analysis. Part 1
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1 Data Analysis Part 1 Power-up Krusty the clown was told that a certain itching powder was the newest and best thing on the market; it even claims to cause 50% longer lasting itches. Interested in this product, Krusty buys the itching powder and compares it to his usual product. One test subject (A) is sprinkled with the original itching powder, and another test subject (B) was sprinkled with the Experimental itching powder. Subject A reported having itches for 30 minutes. Subject B reported to have itches for 45 minutes. 1. What is the independent variable? 2. What is the dependent variable? 3. Which subject is the control group? 1
2 I Can I Can #9: analyze data in a table I Can #10: analyze bar charts I Can #13: create a bar chart I Can #14: create a table to accurately display data I Can #15: calculate the mean, median, and mode (to analyze data from an experiment). Statistics is a branch of mathematics that involves the collection, presentation, and analysis of data. In statistics, tables and graphs are usually used to represent data. 2
3 Data Tables ALWAYS organize your data using a data table. Helps you to see the relationship between variables. IV Amount of Soap DV Size of Bubble 1 gram 1 inch 2 grams 3 inches 3 grams 4 inches 4 grams 6 inches 5 grams 8 inches Practice 1: Paper Towel Data 1. What is the independent variable? 2. What is the dependent variable? 3. Which paper towel brand held the most washers on a single trial? TOWEL BRAND NUMBER OF WASHERS Trial 1 Trial 2 Trial 3 Brawny # Bounty Nice n Strong School
4 Paper Towel Strength in Washers Held What is a Bar Graph? A bar graph is used to display data in separate CATEGORIES. It tells you the how many or how much of something that can be grouped under each category. We say it shows FREQUENCY. Brawny Bounty Brawny NiceN School First a few things to remember X to the side, Y to the sky DRY MIX TAILS 4
5 1. Put the Independent Variable on the x-axis M (Manipulated) I (Independent) X (on X axis)??? 2. Put the Dependent Variable on the y-axis D (Dependent) R (Responding) Y (on Y axis)??? 5
6 3. Decide on a scale for each axis (the numbers used on the axes) Scales usually begin with 0. Bar graphs usually don t have numbers on the x-axis VERY important--the scale you use can change the way your data looks! ??? 4. Select an interval for each scale (the amount of space between data on axes) VERY important the interval you use can change the 200 way your data looks! 100??? Brawny Bounty Brawny NiceN School 6
7 5. For each condition of the IV draw a solid bar to the height of corresponding DV Brawny Bounty Brawny NiceN School 6. Give the graph a descriptive title Paper Towel Strength in Washers Held Brawny Bounty Brawny NiceN School 7
8 T: Title A: Axis I: Interval L: Labels S: Scale Remember TAILS Paper Towel Strength in Pennies Held T S I Amount of Pennies Held A Brawny Bounty Brawny NiceN School L Remember DRY MIX 8
9 Measures of Central Tendency When you have a list of numerical data it is often helpful to use one or more numbers to represent (or summarize) the whole set. These numbers are called measures of. Average (Mean) Division is used in statistics to find the, or, of a set of data. Find the Mean Find the sum of the numbers Divide by the number of numbers in the set 9
10 Calculating the Mean To find the mean of a number: 1. Add up all the data to find the TOTAL 2. Then divide this total by the number of numbers in the data TOWEL BRAND NUMBER OF PENNIES HELD Trial 1 Trial 2 Trial 3 Total Average Brawny #1 # #210 + #235 = # 501 /3 # 167 Other Measures of Central Tendency : The middle number of the ordered data, or the mean of the middle two numbers. : The number or numbers that appear most often. 10
11 Measures of Variation In statistics, are used to describe the distribution of data. The of a set of data is the difference between the greatest and least values of a set. Practice 1: Paper Towel Data 1. Calculate the MEAN number of pennies held by each brand. 2. Which brand on average held the most pennies when wet? TOWEL BRAND NUMBER OF PENNIES Trial 1 Trial 2 Trial 3 TOTAL MEAN Brawny Bounty Nice n Strong School
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