Calculating Percentages and Histograms
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Questions and Answers

What is the new price of a coffee machine that initially cost €79.85 after a 6.2% increase?

  • €84.80 (correct)
  • €83.85
  • €85.50
  • €78.50
  • How many students were there at the school after a 2.3% decrease from an initial population of 953?

  • 939
  • 940
  • 931 (correct)
  • 925
  • What was the percentage increase in the price of gasoline when it rose from €1.93 to €2.02?

  • 5.6%
  • 4.7% (correct)
  • 4.0%
  • 3.1%
  • What is the percentage discount when a ticket price drops from €28.50 to €12.99?

    <p>54.4% (A)</p> Signup and view all the answers

    What do histograms represent?

    <p>Frequency of data points (B)</p> Signup and view all the answers

    Which of the following measures is defined as the most frequently occurring number in a dataset?

    <p>Mode (D)</p> Signup and view all the answers

    In a bar chart, which information is typically represented?

    <p>Frequency of different categories (B)</p> Signup and view all the answers

    How is the mean of a dataset calculated?

    <p>Sum of all values divided by the number of values (A)</p> Signup and view all the answers

    Study Notes

    Calculating with percentages

    • A coffee machine costs €79.85 and increases by 6.2%.
    • The new price is €84.80.
    • 953 students are enrolled in a school.
    • A year later, the number of students decreased by 2.3%.
    • There are now 931 students.

    Percentage change

    • The price of a litre of petrol is €2.02.
    • Last month, it was €1.93.
    • The increase was €0.09.
    • The percentage increase was 4.7%.
    • A ticket to the Dolfinarium costs €28.50.
    • With a discount, the ticket price is €12.99.
    • The discount is €15.51 (€28.50 - €12.99).
    • The percentage discount is 54.4%.

    Histograms and Frequency Tables

    • Histograms show the frequency (how often) a value appears in a dataset over time.
    • The horizontal axis represents time.
    • The vertical axis represents the frequency of the values at a particular point in time.
    • A frequency table shows the number of times each value is observed in a dataset.
    • A histogram can be made from a frequency table, to display the data visually.
    • The data in the table relates to the number of children of the employees at Shipyard Delfshaven.

    Measures of central tendency

    • The mean (average) is calculated by summing all values and dividing by the total number of values.
    • The median is the middle value when the data is ordered from least to greatest.
    • The mode is the value that occurs most often.
    • The data relates to the number of goals scored by Feyenoord.
    • The mean number of goals scored by Feyenoord is 1.9 per game.
    • The median is 2.
    • The mode is 2.

    Types of charts

    • A bar graph displays categorical data using bars of different heights to represent frequencies.
    • A circle graph compares parts to the whole.
    • Examples of the data include types of ships built by a company.
    • The data demonstrates the breakdown by type (sailboat, motorboat, etc.).

    Statistical Data

    • Statistical data is collected, organized, and analyzed in tables and graphs.
    • These tables and graphs represent data.

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    Quiz Team

    Description

    This quiz focuses on calculating percentage changes and understanding histograms and frequency tables. You'll encounter real-world examples, such as price increases and student enrollments, to test your skills in these concepts. Prepare to analyze data visually as well as numerically.

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