Understanding Levels of Data and their Relationship to Graphs and Statistics

Exploring the levels of data, relationship to graphs and statistics, independent and dependent variables in experiments, types of controlled variables, conclusions drawn, and inferential statistics used. The content discusses various types of data levels, graph types, statistical analyses, and experimental setups in detail.

• Data levels
• Graphs
• Statistics
• Experimental variables
• Inferential statistics

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1. LEVELS of DATA

2. RELATIONSHIP OF DATA TO GRAPHS AND STATISTICS Statistics Level of Data Characteristics of Data Graphs mean, median, mode, standard deviation Descriptive *continuous = measure, decimals (weight=9.3 Kg) Inferential *discrete = count, whole numbers (students=24) Independent 2-Samples T-TEST absolute or true 0 ( Kelvin temperature) Paired 2-Samples T-TEST 2-Sample Regression 3+ Samples ANOVA Timeplot Line Graph 1-Sample T-TEST Ratio statistical analysis possibilities increase equal interval values Scatter Plot Histogram quantitative* (numerical) intrinsic order (1, 2, 3 etc.) Interval ( Celsius temperature) (cold, room temperature, hot) Ordinal ( numerical scale) 2 Sample Proportions 1 Sample Proportion Chi Square Bar Graph qualitative (categorical) Proportions Frequency Pie Graph Nominal (Yes, No)

3. Levels of Data What levels of data were observed? What is the independent variable of this experiment? variable of this experiment? experiment? variables (constants) of this experiment? What is the dependent What is the control of this What are three controlled What is the conclusion of this experiment? What types of graphs are used for these levels of data? pie graph bar graph line graph scatter plot histogram no mass or normal mass ( no magnetism / glass marble) level table top as the mass increases 20 angle ramp, 4 magnets, Angle of deflection increases What types of inferential statistics are used for this level of data? chi square t-test regression

4. Levels of Data What levels of data were observed? What is the independent variable of this experiment? variable of this experiment? experiment? variables (constants) of this experiment? What is the dependent What is the control of this What are three controlled What is the conclusion of this experiment? What types of graphs are used for these levels of data? pie graph bar graph line graph scatter plot histogram no mass or normal mass ( no magnetism / glass marble) level table top as the mass increases 20 angle ramp, 4 magnets, Angle of deflection increases What types of inferential statistics are used for this level of data? chi square t-test regression