IB Data Analysis Practice 4
To further practice organizing and presenting data, use the following image of random data to create a data table, process the raw data, and present it. The data was collected using an electronic balance measuring to the tenth of a gram to find the mass of samples from two different populations where each number represents a different individual. Use the rubric and explanation below to assist in your processing.
Part A: Creating a Table
Part B: Calculating Mean and Standard Deviation.
Excel makes it extremely easy to calculate mean and standard deviation very quickly for large data sets. Calculate both of these in Excel (don’t use a calculator) by watching the following video:
Part C: Create an Appropriate Graph
The information presented is for the mean of two different samples. Select which type of graph would be best to visualize the data and create a graph. While the following video is presented using Google Spreadsheets, it’s discussion of types of graphs may also be useful in determining which type of graph to use (Bar, Line, X-Y Scatter, Pie)
Part D: Creating Error Bars on an X-Y Scatter Plot Graph.
Anytime data is collected for a number of samples of the same category, there will almost always be variation in said data. By using standard deviation, one can calculate standard of the mean as a way to indicate the reliability of measurements as an indicator of the true mean for the entire population. Using this value and a confidence interval of 95% can be used to show, with 95% confidence, what values would the true mean would be expected to fall within. Using the calculated standard deviation, standard error of the mean, and 95% confidence interval, add error bars to your graph after watching the following videos:
Part E: Conduct a T-Test
When two sets of data are being compared for a difference, it is helpful to calculate a T-Test in order to determine if there is statistically a significant difference between the two sets of data. Conduct a t-test to determine if there is a significant difference between two samples.
Part F: Turn-In
Printing graphs or saving them from Excel can sometimes be just as challenging as creating them. Arrange the data table and graph on two separate pages where one page will include only the graph, the second only the data table (I just want you to have practice doing both for future when data tables get really big). Below is a video that helps explain how to do this. Upload images of your data tables and graphs below.
The student’s report does not reach a standard described by the descriptors above.
A full explanation of the lab standard rubric can be found here