Misleading visual representation features

1

1. \begin{figure}[h]
   \captionsetup{labelformat=empty} \caption{Sales of Superclene Toothpaste} \includegraphics[alt={},max width=\textwidth]{df20f053-8d67-428d-bb19-9447049deed5-2_725_1073_347_497}
   \end{figure} The diagram represents the sales of Superclene toothpaste over the last few years. Give a reason why it is misleading.
2. The following data represent the daily ticket sales at a small theatre during three weeks. $$52,73,34,85,62,79,89,50,45,83,84,91,85,84,87,44,86,41,35,73,86 \text {. }$$ (a) Construct a stem-and-leaf diagram to illustrate the data.
   (b) Use your diagram to find the median of the data.

1 The distance of a student's home from college, correct to the nearest kilometre, was recorded for each of 55 students. The distances are summarised in the following table. Dominic is asked to draw a histogram to illustrate the data. Dominic's diagram is shown below.
\includegraphics[max width=\textwidth, alt={}, center]{d6836b62-75e7-410e-ab1e-83c391b85948-2_1225_1303_628_422} Give two reasons why this is not a correct histogram.

12 A student plots the scatter diagram below showing the mass in kilograms against the \(\mathrm { CO } _ { 2 }\) emissions in grams per kilogram for a sample of cars in the Large Data Set.
\includegraphics[max width=\textwidth, alt={}, center]{7cca79eb-fd09-4ec0-8a1d-a7a38ca73f7a-16_947_1445_794_296} Their teacher tells them to remove an error to clean the data.
Identify the data point which should be removed.
Circle your answer below.
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A
B
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D

9 The diagram below shows some "Cycle to work" data taken from the 2001 and 2011 UK censuses. The diagram shows the percentages, by age group, of male and female workers in England and Wales, excluding London, who cycled to work in 2001 and 2011.
\includegraphics[max width=\textwidth, alt={}, center]{cac31da4-f1ad-4c34-a47f-2bc68c2304f1-10_899_1537_524_283} The following questions refer to the workers represented by the graphs in the diagram.

1. A researcher is going to take a sample of men and a sample of women and ask them whether or not they cycle to work. Why would it be more important to stratify the sample of men? A research project followed a randomly chosen large sample of the group of male workers who were aged 30-34 in 2001.
2. Does the diagram suggest that the proportion of this group who cycled to work has increased or decreased from 2001 to 2011?
   Justify your answer.
3. Write down one assumption that you have to make about these workers in order to draw this conclusion.