Over a two-week period, Mai had the following number of math homework problems each school day.[br][br]2 15 20 0 5 25 1 0 10 12[br][br]1. Find or calculate the following values and show your reasoning.[br] a. The median, quartile, maximum, and minimum of the data on Mai's math homework problems.[br] b. The interquartile range (IQR).[br][br]2. Calculate the following. Show your reasoning.[br] a. The mean number of math homework problems.[br] b. The mean absolute deviation (MAD).[br][br]3. Interpret the mean and MAD. What do they tell you about the number of homework problems Mai had over these two weeks?[br][br]4. Which pair of measures of center and variability—mean and MAD, or median and IQR—do you think summarize the distribution of Mai's math homework assignments better? Explain your reasoning.[br][br]You may use the applet to help if you choose to. Enter the values needed to calculate the IQR and the mean when prompted.