Homework Chapter 2

Assignment:

Objective: Apply techniques Find/Calculate Mean, Median, Mode

1. Find the mean, median and mode of the following data: 3, 8, 4, 10, 5, 6, 3, 2, 4, 3. The mean is ______________.
2. Find the mean, median and mode of the following data: 3, 8, 4, 10, 5, 6, 3, 2, 4, 3. The median is______________.
3. Find the mean, median and mode of the following data: 3, 8, 4, 10, 5, 6, 3, 2, 4, 3. The mode is ______________.

Objective: Apply concepts Compare measures of Central Tendency.

4. A researcher finds that their data on the number of errors children make in a corn maze, for which they have prepared using virtual reality headsets before attempting it, include a couple of outliers. Two children make a lot of errors, whereas the vast majority of children only make a few. The distribution of the data can thus be described as unimodal but right-skewed. In this case, what might we expect are the relative locations of the mean and the median? The mean is ______________ than the median.
5. A researcher replicates a study on the number of errors children make in a corn maze, for which they have prepared using virtual reality headsets before attempting it. This time some children make very few errors, and a similar number of children make many errors. The distribution of the data can thus be described as bimodal. The best measure of central tendency is likely to be the ______________.
6. A researcher replicates a study on the number of errors children make in a corn maze, for which they have prepared using virtual reality headsets before attempting it. Most children make a moderate amount of errors, but some make very few and some make many errors. The distribution of data appears unimodal and quite symmetrical. The mean, median and mode for this dataset will be ______________.

Objective: Apply techniques Find/Calculate Variance, Standard Deviation

7. Calculate the variance and standard deviation of the following data: 3, 8, 4, 10, 5, 6, 3, 2, 4, 3. The variance is ______________.
8. Calculate the variance and standard deviation of the following data: 3, 8, 4, 10, 5, 6, 3, 2, 4, 3. The standard deviation is ______________.

Objective: Apply concepts Compare measures of Variability.

9. A journal editor’s instructions to submitting authors includes the guidelines that variability should be reported in units of measurement that are the same as the data (e.g., if number of days is the unit of measurement of the data reported, then the variability reported should also be in terms of number of days). The best way to report variability would be ______________.

Objective: Apply concepts Interpret measures of Central Tendency and Variability.

10. A criminologist reports that the number of crimes in downtown Vancouver on summer weekends was M=5.9 (SD=2.2). This indicates that ______________.