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1 Generating and Interpreting Boxplots Using MinitabPlease note: /In this question we have been asked to use Minitab togenerate a set of box plots in order to interpret the supplied data onvisits to the UK in 2016. In answering all parts of this question, Irelied exclusively on these boxplots to perform my own analysis andinterpretation of the data “by inspection”. However, since weclearly had access to the raw data (and to Minitab, of course), itoccurred to me that it would be worthwhile to corroborate some of my“findings” by having the software generate a selected set ofdescriptive statistics as well. This is what I would have done “inreal life”, as it were, and so I felt it made sense to do this for theassignment as well./1.1 Combined box plots of visits to the UK in 2016Using the supplied Minitab worksheet (UKVisits.mtw), combinedboxplots of each category (purpose of visit) reported in the data weregenerated using the software. As requested, the four boxplots weregenerated in a single overall plot, and a horizontal layout waschosen. A suitable label for the independent variable was alsoadded in place of the one automatically generated.Figure 1: Boxplots visually depicting key descriptive statistics for data on visits to the UK (in 1000s) made by non-UK residents (categorised by purpose of the visits) during the months of 2016The results may be seen in Figure 11.2 Comparison of numbers of visits for Holidays vs Business TripsLooking at just the two topmost boxplots in Figure 1, wenote the following:Firstly, there is at least some overlap between the ranges ofthe Holiday and Business boxplots. Thus, we cannot claimoutright that there were always more visits for Holidaypurposes than for Business for all of the months in 2016. Itmight in fact turn out that for any given month, Holiday*salways outweiged *Business trips, but this we can only tell bylooking at the raw data, since the boxplot, being an overallsummary of statistical location, ignores these finer nuances.However, I state the above purely to be precise about what wemean about “more” or “less” in this case. We certainly can see,for example, that the overall statistical location of theHoliday boxplot is well to the right of that for the Businessvisits. I explain what I mean in specific terms below:Firstly, the median (the central vertical line in the box) ofthe Holiday data lies well to the right of (i.e. isconsiderably greater than) that of the Business visits data;In fact, the overall location of the Holiday boxplot is somuch greater than that of the Business plot that its lowerquartile (by inspection, at least, to be confirmed later)appears to be precisely in line, vertically, with the tip of the rightwhisker of the Business trip boxplot. What this says is that afull 75% of the monthly Holiday visit data is higher thanthe data for all Business trips throughout 2016, for foreach and every month.We can also make conclus
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