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Pie Charts quiz

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  • What type of data are pie charts most effective for displaying?
    Pie charts are most effective for displaying qualitative data as percentages across categories.
  • How is each wedge in a pie chart determined?
    Each wedge represents a category's percentage of the total, with larger percentages resulting in larger wedges.
  • What formula is used to calculate the percentage for a category in a pie chart?
    The formula is (category frequency ÷ total number of responses) × 100.
  • If a category has a frequency of 6 out of 20 responses, what is its percentage in the pie chart?
    Its percentage is 30% because (6 ÷ 20) × 100 = 30%.
  • Why might you prefer percentages over frequencies when using a pie chart?
    Percentages show how each category relates to the total, making comparisons between groups easier.
  • What is the first step in creating a pie chart from a frequency table?
    The first step is to find the total number of responses by adding all category frequencies.
  • How do you find the relative frequency for a category?
    Divide the category frequency by the total number of responses and multiply by 100 to get a percentage.
  • In the example, what is the percentage of students with black hair if 6 out of 20 students have black hair?
    The percentage is 30% because (6 ÷ 20) × 100 = 30%.
  • How many wedges would you draw in a pie chart if there are four categories?
    You would draw four wedges, one for each category.
  • If two categories have the same relative frequency, how will their wedges appear in the pie chart?
    Their wedges will be the same size.
  • What does a larger wedge in a pie chart indicate about a category?
    A larger wedge indicates a higher percentage for that category.
  • How do you find the number of students in a category if you know the percentage and total number of students?
    Multiply the percentage (as a decimal) by the total number of students.
  • If 40% of 20 students have brown hair, how many students is that?
    That is 8 students, because 0.40 × 20 = 8.
  • What is the difference in the percentage of red-haired students between two classes if one has 20% and the other 15%?
    The difference is 5 percentage points.
  • Why can't you say there are more students in a category just because its percentage is higher in a pie chart?
    Because percentages do not reflect actual counts unless the total number of responses is the same in both groups.