Data Collection and Representation
Math ⇒ Statistics and Probability
Data Collection and Representation starts at 6 and continues till grade 12.
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See sample questions for grade 11
A researcher wants to study the average height of students in a school. Should they use a sample or a census? Explain your answer.
Describe one advantage and one disadvantage of using secondary data.
Describe the main difference between qualitative and quantitative data.
Explain the difference between discrete and continuous data.
A class of 20 students scored the following marks in a test: 5, 7, 8, 6, 9, 7, 8, 6, 7, 8, 9, 6, 7, 8, 7, 6, 8, 7, 6, 8. What is the mode?
A data set consists of the following values: 2, 4, 4, 6, 8. What is the median?
A data set has the following values: 3, 7, 7, 10, 12. Calculate the mean.
A frequency table shows the number of students who scored in different ranges: 0-10: 2, 11-20: 5, 21-30: 8, 31-40: 5. What is the modal class?
Which of the following is a continuous variable?
(1) Number of cars in a parking lot
(2) Height of students
(3) Number of books on a shelf
(4) Number of siblings
Which of the following is a disadvantage of using a census?
(1) It is less accurate
(2) It is time-consuming and expensive
(3) It is not representative
(4) It is based on a sample
Which of the following is a graphical method for representing categorical data?
(1) Histogram
(2) Bar chart
(3) Scatter plot
(4) Line graph
Which of the following is a primary method of data collection?
(1) Using published reports
(2) Conducting a survey
(3) Referring to textbooks
(4) Reading newspapers
Fill in the blank: A __________ is a graphical representation of the distribution of numerical data using rectangles to show the frequency of data intervals.
Fill in the blank: In a stem-and-leaf plot, the __________ represents the leading digit(s) and the __________ represents the trailing digit(s).
Fill in the blank: The __________ is the middle value when the data is arranged in order.
Fill in the blank: The __________ of a data set is the difference between the highest and lowest values.
True or False: A census involves collecting data from every member of the population.
True or False: A pie chart is best used to show the proportion of categories in a whole.
True or False: In a bar chart, the width of the bars is important for representing the data.
True or False: In a frequency distribution table, the sum of all frequencies equals the total number of observations.
