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Probability and Statistics
Lesson 17
Data Organization and Analysis
  Objectives/Vocab/Tips > Examples 1 | 2 | 3 | 4 > Practice: 1 | 2 | 3 | 4 > Reflection

Example 1:

Gina sold tickets to the talent show. The graph below shows how many tickets Gina sold each day during the week of the show. Gina wants to change the appearance of her bar graph.

  • Without changing her data, how could she change the graph to make all the bars appear longer?
  1. Increase the length of the horizontal axis and make the bars wider.
  2. Double the length of the vertical axis and increase the scale to 60.
  3. Keep the scale at 0-30, double the length of the vertical axis and use units of 1 on the scale instead of units of 2.
  4. Keep the length of the vertical axis the same, start the scale at 10, and increase the space between the numbers on this scale.

In solving this problem, you want to work your way down the choices that you are given for possible answers to the question. Use the process of elimination to help you.

Before you begin with your first choice, be sure you understand the question and what it is you are suppose to find. As you look at the graph you are given, you want to see what you could do to the graph in order to make the bars appear longer without changing the data used to make the graph in the first place.

Let's look at choice A, where we could increase the length of the horizontal axis and then make the bars wider. We need to make our bars look longer or taller so working with the horizontal axis, which is the axis that has the days of the week, won't help the bars look taller. They would make the bars look wider, but not taller. Therefore, A, isn't a possible answer for this one.

Choice B has you doubling the length of the vertical axis and having the scale go to 60 instead of 30 like it is. Making the length of the vertical axis longer won't change the height of the bars as they will still only go up to their respective height. Even if we make the scale to go to 60, the bars will still only go to where they need to be, the tallest being 28 tickets.

Choice C tells you to keep the scale the same and then double the length of the vertical axis by changing the units to 1 instead of 2. This means that on the scale where there is the number 2, it is now 1, 4 becomes 2, 6 becomes 3, and so on. This means our bars will have to go taller in order to get to the number of tickets they need to. Therefore this option will double the height of the vertical axis and still keep the data the same as to what is shown. This choice will work, but before we answer this one, you want to make sure that letter D doesn't work.

Choice D has you changing the scale to 10 instead of the 2 that are already there. This would have all of the bars become shorter, since 2 would be come 10, 4 becomes 20, so you can see how the bars will have to move down to work with this scale.

Using the process of elimination gives you the answer of Choice C.

Example 2 >>

 

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