Calculating Percentage Changes and Data Visualization

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Questions and Answers

A coffee maker costs $79.58. The price increased by 6.2%. What is the new price?

$84.80

A school had 953 students, but the number decreased by 2.3%. How many students are left?

931

What is the absolute increase of a price that increased from $1.93 to $2.02?

0.09

What is the percentage increase of a price that increased from $1.93 to $2.02?

<p>4.7%</p> Signup and view all the answers

A ticket costs $28.50, but you can buy it online for $12.99. What is the percentage discount?

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

What are the names of the four types of ships that are being counted?

<p>Sailboat, Motor Yacht, Coast Guard, Tanker</p> Signup and view all the answers

From the bar chart, how many coast guard ships were built?

<p>11</p> Signup and view all the answers

From the circle chart, what percentage of the ships built were coast guard ships?

<p>16.7%</p> Signup and view all the answers

If 66 ships were built, how many sailboats were built?

<p>22</p> Signup and view all the answers

What is the number of employees in Delfshaven?

<p>1600</p> Signup and view all the answers

Which year had the least number of employees?

<p>2017</p> Signup and view all the answers

What was the highest number of employees?

<p>1600</p> Signup and view all the answers

What is the frequency of children with 0, 1, 2, 3 and 4 children?

<p>9, 13, 8, 5 and 3</p> Signup and view all the answers

How many total children do the office staff in Delfshaven have?

<p>38</p> Signup and view all the answers

What does the term 'mode' mean in statistics?

<p>The number that appears most often in a set of data.</p> Signup and view all the answers

What is the mode in the data: 3, 5, 5, 5, 7, 8, 9, 9, 9?

<p>5</p> Signup and view all the answers

What is the average (or mean) in the data: 3, 5, 5, 5, 7, 8, 9, 9, 9?

<p>6.375</p> Signup and view all the answers

How many games did Feyenoord play?

<p>34</p> Signup and view all the answers

What was the average number of goals scored in the 34 games?

<p>1.89</p> Signup and view all the answers

What is the average number of goals scored per game?

<p>1.89</p> Signup and view all the answers

In how many games did Feyenoord score 0 goals?

<p>7</p> Signup and view all the answers

How many goals did Feyenoord score in total?

<p>64</p> Signup and view all the answers

In what percentage of games did Feyenoord score 0 goals?

<p>20.6%</p> Signup and view all the answers

What is the relative frequency of scoring 0 goals?

<p>20.6%</p> Signup and view all the answers

What is the median number of goals scored in games?

<p>2</p> Signup and view all the answers

What is the mode in the data from Feyenoord's goals scored?

<p>2</p> Signup and view all the answers

Flashcards

Percentage

A way to express a part of a whole as a fraction out of 100.

Percentage change

The amount of change over a period of time, calculated as a percentage.

Bar graph

A visual tool to compare data sets using bars of different heights.

Line graph

A visual representation of data using a line to show trends over time.

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Pie chart

A visual representation of data using slices of a circle to show proportions.

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Histogram

A visual representation of data that shows the frequency of different values using bars.

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Mean

The average of a set of numbers.

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Median

The middle value in a sorted set of numbers.

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Mode

The most frequent value in a set of numbers.

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Price change formula

Used to calculate percentage changes in price.

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Frequency table

Shows the distribution of a data set.

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Histogram visualization

Visual representation of data where the area of each bar represents its frequency.

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Mean, median, and mode

A measure of central tendency describing the typical value in a data set.

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Mean calculation

The sum of all values divided by the total number of values

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Median calculation

The middle value in a sorted data set

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Mode calculation

The value that appears most frequently in a data set

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Ships built data

Represents the number of each type of ship built

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Pie chart of ships built

A visual representation of the ships built data, using slices of a circle

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Employees at a shipyard data

Represents the number of employees at a shipyard over a period of time

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Line graph of shipyard employees

A visual representation of the employee data, using a line to show the trend over time

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Goals scored data

Represents the number of goals scored by a football team in each game of a season

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Frequency table of goals scored

A table showing the frequency of different goal counts in a season

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Histogram of goals scored

A visual representation of the goals scored data, using bars to show the frequency of each goal count

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Histogram

A visual representation of data using bars, where the height of each bar represents the number of data points in a particular range.

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Histogram purpose

A way to visually represent data that shows the frequency of different values.

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Frequency table

A table that shows the frequency of each value in a data set.

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Data visualization

A data set can be represented using different visual tools like histograms, line graphs, and pie charts.

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Study Notes

Calculating Percentage Changes

  • A coffee maker costing €79.85 increased in price by 6.2%, resulting in a new price of €84.80.
  • A school had 953 students. A year later, the student count decreased by 2.3%, leaving 931 students.

Percentage Changes

  • The price of a litre of petrol increased from €1.93 to €2.02, meaning a €0.09 increase.
  • This represented a 4.7% price increase.
  • A €28.50 entrance ticket to the Dolfinarium offered a €12.99 online discount, providing a €15.51 discount.
  • This represented a 54.4% discount.

Histograms and Frequency Tables

  • A histogram displays the frequency of values in a dataset.
  • Frequency tables show how often each value appears.
  • These charts are useful tools for visualizing data.

Measures of Central Tendency

  • The mean (average) of a dataset is calculated by summing all the values and dividing by the count of values.
  • The median is the middle value when the data is arranged in ascending order. If there's an even number of values, the median is the average of the two middle values.
  • The mode is the value that appears most frequently in the dataset.

Data Representation

  • Charts like bar graphs and pie charts are used to depict data.
  • Pie charts visualize the proportional representation of different categories.
  • Bar graphs show the frequency and value of different data categories.

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