Mathematics for IGCSE & O level - Categorical, Numerical And Grouped Data (Section 3)

  • 1
    What are some things to consider when designing a questionnaire?
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    B
    C
  • 2
    What is the main advantage of using a frequency table?
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    (C)
    It summarizes and organizes data.
  • 3
    When calculating the mean from a frequency table, what must you do with the midpoints of the classes and their frequencies?
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    (B)
    Multiply each midpoint by its frequency, sum the products, and divide by the total frequency.
  • 4
    What is a frequency table used for?
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    (B)
    To summarize and organize data by grouping it into classes.
  • 5
    In a survey, a question is "Do you agree that recycling is important?" What is wrong with this question?
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    (A)
    It is a leading question.
  • 6
    What factors can data collected on two themes show in a two-way table?
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    (C)
    Where cars were made and their color
  • 7
    Which of the following will impact the mean?
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    A
    B
  • 8
    Which average is often quick and easy to find?
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    (C)
    Median
  • 9
    What is the formula for the midpoint of a class interval?
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    (B)
    (Upper class limit + Lower class limit) / 2
  • 10
    What is a good thing when asking questions?
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    A
    B
    C
  • 11
    Which of the following statements is NOT true about the mean?
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    (D)
    It always has to be a whole number.
  • 12
    Which type of data collection is discussed in the text?
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    (A)
    Surveys
  • 13
    What is a survey used for?
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    (B)
    To collect data
  • 14
    Which of the following is NOT a measure of average?
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    (B)
    Range
  • 15
    If a set of data contains the numbers 1, 2, 3, 4, 5, what is the median?
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    (C)
    3
  • 16
    What is the purpose of collecting and grouping data?
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    (B)
    To set a survey
  • 17
    What should be considered when comparing sets of data?
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    A
    B
    C
    D
  • 18
    In a survey, a school collected data about how many siblings students had. Would this data be considered?
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    (B)
    Numerical data
  • 19
    In a frequency table, what does the 'Frequency' column represent?
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    (B)
    The number of times a certain value or range of values occurs.
  • 20
    What should you consider when comparing data sets?
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    B
    C
    D
  • 21
    Why is the size of your sample important?
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    (C)
    If a sample is too small the results may be very unreliable
  • 22
    Which is an example of a bad question to ask in a questionnaire?
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    (C)
    Do you eat sweets a lot?
  • 23
    The mean is the same as which value?
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    (C)
    Average
  • 24
    What does the range of a data set measure?
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    (B)
    The spread of the data
  • 25
    Which of the following is a limitation of using only the range to describe a data set?
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    (A)
    It only considers the extreme values, not the distribution of data.
  • 26
    Why is calculating the mean using class midpoints an estimate?
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    (A)
    Because you can't know the individual values within each class.
  • 27
    In which of the following scenarios would the mode be the most useful measure of average?
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    (B)
    Determining the most popular shoe size sold in a store.
  • 28
    What measure of average is found by adding all values then dividing by the number of values?
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    (D)
    Mean
  • 29
    What is an important thing to ensure when designing a questionnaire?
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    (B)
    Make your questions clear
  • 30
    What must be the same?
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    (D)
    Both a and b
  • 31
    Which of the following is an example of continuous data?
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    (C)
    The height of a tree.
  • 32
    Which of the following is true about the median when dealing with grouped data?
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    (D)
    The median is the data value found at the middle value of the data.
  • 33
    What is a frequency table?
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    (C)
    A table of tallies with totals
  • 34
    What is involved in comparing data sets?
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    A
    B
    C
    D
  • 35
    What do you need to find the mean?
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    (B)
    The sum of data values
  • 36
    If a data set is 2, 4, 6, 8, 10, what is the median?
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    (C)
    6
  • 37
    What should be avoided when designing a questionnaire?
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    A
    B
  • 38
    What is an example of a task that involves collecting and grouping data?
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    (C)
    Setting a survey
  • 39
    What does range measure?
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    (B)
    The spread of data
  • 40
    Which of the following is an advantage of using the median?
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    (B)
    Useful for small data sets
  • 41
    What type of value does the mean use?
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    (C)
    Sum of all values
  • 42
    Which measure of average is most affected by extreme values (outliers) in a dataset?
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    (C)
    The mean.
  • 43
    When should you do a pilot survey?
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    (A)
    Before collecting the data
  • 44
    When are values said to have a greater range?
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    (B)
    More spread out
  • 45
    What is involved when comparing data sets?
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    A
    B
    C
    D
  • 46
    Which average should be used to determine the most common score on a test?
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    (C)
    Mode
  • 47
    Why is the mean sometimes not the best average to use?
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    (C)
    It can be skewed by outliers.
  • 48
    How do you make a tally chart?
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    (B)
    Count the values in each set of data
  • 49
    Which of these values is used to find the mean?
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    (D)
    All of the values added up
  • 50
    What does range describe?
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    (B)
    The spread of data