In this assignment, you will compute different measures of variability for colle
ID: 3058362 • Letter: I
Question
In this assignment, you will compute different measures of variability for collected data. You should compute these scores by hand; these problems are quite similar to the type of problems you'll encounter on Exam 2 and the final! Save your answers in a Word document or PDF, and upload them here. Feel free to show your work in your answers (we can provide feedback if we see where you might've gone wrong), but you can just submit answers if you'd prefer. For these problems, use the following data. These data are reaction times, measured in milliseconds (i.e. the units are milliseconds):
1. Compute the range and interquartile range for these data. What units are these ranges in?
2. Compute the Mean Absolute Deviation for these data. What units is the M.A.D. in? Briefly (in about 1-2 sentences) explain, in your own words, what this M.A.D. represents.
3. Compute the sample and population variance and standard deviation for these data. What units are these in?
4. The researcher wants to remove outliers. She decides to eliminate any scores that are more than two standard deviations away from the mean score. Which scores, if any, would be eliminated based on this criteria?
5. If any scores should be removed for being outliers, what is the sample standard deviation without them? What does removing these outliers do to the total amount of variability in the data set?
361 308 347 758 336 371 321 421 374 358 346 414 352Explanation / Answer
In this assignment, you will compute different measures of variability for collected data. You should compute these scores by hand; these problems are quite similar to the type of problems you'll encounter on Exam 2 and the final! Save your answers in a Word document or PDF, and upload them here. Feel free to show your work in your answers (we can provide feedback if we see where you might've gone wrong), but you can just submit answers if you'd prefer. For these problems, use the following data. These data are reaction times, measured in milliseconds (i.e. the units are milliseconds):
1. Compute the range and interquartile range for these data. What units are these ranges in?
2. Compute the Mean Absolute Deviation for these data. What units is the M.A.D. in? Briefly (in about 1-2 sentences) explain, in your own words, what this M.A.D. represents.
3. Compute the sample and population variance and standard deviation for these data. What units are these in?
4. The researcher wants to remove outliers. She decides to eliminate any scores that are more than two standard deviations away from the mean score. Which scores, if any, would be eliminated based on this criteria?
5. If any scores should be removed for being outliers, what is the sample standard deviation without them? What does removing these outliers do to the total amount of variability in the data set?
361 308 347 758 336 371 321 421 374 358 346 414 352