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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: https://www.dataplusscience.com/HalloweenData.html

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