Question

what measure of center are appropriate to use and why? what measure of variability are appropriate? using your chosen measure, compare the typical amount of time spent on homework between the two classes.

Explanation:

Measures of center include mean, median, and mode. Mean is the sum of all values divided by the number of values, median is the middle - value when data is ordered, and mode is the most frequent value. Mean is appropriate when data is symmetric and has no outliers as it uses all data values. Median is better when there are outliers as it is not affected by extreme values. For comparing typical time spent on homework between two classes, if data is normal, mean can be used. If there are extreme values (e.g., a student who spends an unusually long or short time), median is more appropriate. Measures of variability such as range, variance, and standard deviation can be used. Range is the difference between the maximum and minimum values, easy to calculate but only considers two values. Variance and standard deviation measure how spread out the data is from the mean, with standard deviation being the square - root of variance. They are more informative but more complex to calculate.

Answer:

Measures of center: Mean (if data is symmetric and no outliers), Median (if there are outliers). Measures of variability: Range (simple but less informative), Variance and Standard Deviation (more informative but complex).