Choosing a statistical diagram questions with answers

Questions

1. Question 1Which diagram? (with dot and stem-and-leaf diagrams)

   The scores (from 0 to 10) of each of the 18 pupils in a spelling quiz are to be shown so that every score can be seen. Which statistical diagram is the most suitable?

   Show the worked solution

   1. Step 1: What must the diagram do?The diagram has to show a small set of data with only a few different values.
   2. Step 2: So the most suitable diagram isDot diagram.
2. Question 2Dot and stem-and-leaf diagrams: true or false?

   The diagram is an example of a stem-and-leaf diagram. Which statement about stem-and-leaf diagrams is true?

   Show the worked solution

   1. Step 1: Decide whether each statement is true or falseThe leaves do not need to be in order. False.It is the best way to show a trend over time. False.It shows the shape of the data as well as each value. True.It groups the data so the original values are lost. False.
   2. Step 2: So the true statement isC: It shows the shape of the data as well as each value.
3. Question 3Which diagram? (with histograms)

   The ages of 30 people at a community event (from 18 to 75) are to be shown so that each age is kept and the shape of the data can be seen. Which statistical diagram is the most suitable?

   Show the worked solution

   1. Step 1: What must the diagram do?The diagram has to keep every value while showing the shape of the data.
   2. Step 2: So the most suitable diagram isStem-and-leaf diagram.
4. Question 4Histograms: true or false?

   The diagram is an example of a histogram. Which statement about histograms is true?

   Show the worked solution

   1. Step 1: Decide whether each statement is true or falseThere should be gaps between the bars as in a bar graph. False.The classes may overlap. False.The modal class is the class with the tallest bar. True.Each data value can be read exactly from it. False.
   2. Step 2: So the true statement isC: The modal class is the class with the tallest bar.