Mathematics for IGCSE & O level - Categorical, Numerical And Grouped Data (Section 1)

  • 1
    When might the mean be misleading?
    답변
    (A)
    When there are outliers
  • 2
    What is a pilot survey for?
    답변
    (C)
    To test the question
  • 3
    What is the purpose of a pilot survey?
    답변
    (B)
    To check if the survey is well designed
  • 4
    When creating a good questionnaire, what must it include?
    답변
    (C)
    Clear questions
  • 5
    What is the relationship between frequency and class width?
    답변
    (B)
    There is no direct relationship.
  • 6
    In a data set 1, 2, 3, 4, 5, 6, 7, what is the median?
    답변
    (B)
    4
  • 7
    If you have the following data set: 1, 1, 2, 3, 5, 8, 13. What is the median?
    답변
    (C)
    3
  • 8
    Which is the best average to use for a small sample of numbers?
    답변
    (B)
    Median
  • 9
    What should you do when calculating the mean of grouped data?
    답변
    (C)
    Use the midpoints of each class.
  • 10
    In the example of the school height data, what does the frequency represent?
    답변
    (C)
    The number of students whose heights fall within a certain class interval.
  • 11
    What are some ways to eliminate bias in a survey?
    답변
    A
    B
  • 12
    What's the main purpose of a questionnaire?
    답변
    (B)
    To collect data
  • 13
    What is collected and grouped?
    답변
    (C)
    Data
  • 14
    What is a good approach to use when you are dealing with the number of students in a family?
    답변
    (D)
    All of the above
  • 15
    What is the primary purpose of calculating the mean for a dataset?
    답변
    (C)
    To describe the average value of the data.
  • 16
    What should you avoid in a survey?
    답변
    (B)
    Leading questions
  • 17
    When should the mean be used instead of the median?
    답변
    (B)
    When the data is perfectly symmetrical.
  • 18
    What data can be shown in two-way tables?
    답변
    A
    B
    C
  • 19
    What is the best way to show the results?
    답변
    (D)
    All of the above
  • 20
    Which of the following are measures of average?
    답변
    A
    C
    D
  • 21
    What can be shown with a two-way table?
    답변
    (D)
    All of the above
  • 22
    What type of chart is recommended for making a frequency table?
    답변
    (A)
    Tally chart
  • 23
    What is involved in good sampling?
    답변
    (A)
    Having no bias
  • 24
    What does the frequency table show?
    답변
    (C)
    The tally of each data value
  • 25
    What is the main reason for grouping data into classes?
    답변
    (B)
    To represent data in a more organized form.
  • 26
    What can you use a pilot survey for?
    답변
    (B)
    Testing the questions
  • 27
    What does a frequency table show?
    답변
    (C)
    The frequencies of the tallies
  • 28
    What does the range describe?
    답변
    (A)
    Spread of data
  • 29
    What are the steps to find the mean?
    답변
    (A)
    Add up the values, and divide by the amount of data
  • 30
    Which of the following is NOT a measure of spread?
    답변
    (D)
    Mean
  • 31
    What can be found in a two-way table?
    답변
    A
    B
  • 32
    In a frequency table for grouped data, what is the purpose of multiplying the midpoint by its frequency?
    답변
    (B)
    To help calculate an estimate of the mean.
  • 33
    What does the median measure?
    답변
    A
    C
    D
  • 34
    Which of these are helpful in comparing data?
    답변
    A
    B
    C
    D
  • 35
    What is a weakness of using the mode?
    답변
    (C)
    It can be more than one value, or none.
  • 36
    What is the disadvantage of the median?
    답변
    (D)
    Can be unreliable for small sample
  • 37
    What can cause the mean to be misleading?
    답변
    (B)
    There are outliers
  • 38
    What does the term 'class interval' refer to in the context of grouped data?
    답변
    (B)
    The range of values within a group.
  • 39
    When working with grouped data, how is the median estimated?
    답변
    (C)
    By identifying the class in which the median lies.
  • 40
    What is the key difference between discrete and continuous data?
    답변
    (B)
    Discrete data is always whole numbers, while continuous data can take any value within a range.
  • 41
    If a dataset contains the values: 1, 2, 2, 3, 4, 4, 4, 5, what is the mode?
    답변
    (C)
    4
  • 42
    What does the range of a dataset represent?
    답변
    (C)
    The difference between the highest and lowest values in the dataset.
  • 43
    Which of the following is the smallest type of average?
    답변
    (C)
    Range
  • 44
    How should you design a good questionnaire?
    답변
    (A)
    Clear questions
  • 45
    What are teenagers voting about?
    답변
    (A)
    The best soft drink
  • 46
    What does a greater range indicate?
    답변
    (A)
    The data values are more spread out
  • 47
    What is one way to gather data for a survey?
    답변
    (B)
    A questionnaire
  • 48
    What does the range show about the data values?
    답변
    (B)
    The spread of the data values
  • 49
    Which of these is an example of numerical data?
    답변
    (B)
    Number of siblings
  • 50
    What type of sampling is best?
    답변
    (A)
    Random Sampling