1. Measures of Center (Mean, Median, Mode, Shape) & Histogram Measures of Variation/Spread (5 Number Summary, Interquartile Range- IQR) & Boxplot & Outliers: A data scientist has been counting the number of trick-or-treaters that come to his haunted house every year. We will analyze the shape, center and spread of this data. Source: Please follow the order of the letters (don't jump ahead to making a boxplot until asked to do so in part el) a) First, make a histogram of the number of trick-or-treaters using a bin-width of 100 trick-or- treaters. Note: Another name for "bin-width is "class width." Histogram of Trick-or-Treaters Year 2012 2013 2014 2015 2016 2017 2018 2019 2020 Number of Trick- or-Treaters 492 542 726 869 673 391 454 747 150 Boxplot of Trick-or-Treaters b) Next, answer this question: What is the shape of the histogram? If you are not sure yet, compare the mean and the median first. c) Next, find the mean, median and mode, include units. d) Next, find the 5-number summary, IQR and range, including units. e) Next, use the 5-number summary to draw a boxplot on the second grid above. The horizontal scale should match the horizontal scale on the histogram./nf) Next, answer the question this question: Do you think there are any outliers? Why or why not?

Fig: 1

Fig: 2