subject

Data Collection and Representation

Math ⇒ Statistics and Probability

Data Collection and Representation starts at 6 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Data Collection and Representation. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 8
A class of 30 students was surveyed about their favorite fruit. The results were: 10 chose apples, 8 chose bananas, 7 chose oranges, and 5 chose grapes. What is the mode of the data?
A data set has the following values: 2, 4, 4, 6, 8. What is the mean?
A data set has the following values: 5, 7, 7, 8, 10. What is the median?
A group of students recorded the number of books they read in a month: 2, 3, 5, 2, 4, 3, 2. What is the mode?
A survey was conducted to find the favorite sport of students in a school. The results are: Football - 20, Basketball - 15, Cricket - 10, Tennis - 5. What is the total number of students surveyed?
Describe one advantage of using a pie chart to represent data.
Describe the difference between a bar graph and a histogram.
Explain the purpose of using a tally chart in data collection.
Explain why it is important to avoid bias when collecting data.
What is the main difference between primary and secondary data?
What is the mean of the following data: 10, 15, 20, 25, 30?
What is the median of the data set: 6, 8, 10, 12?
What is the median of the following data set: 3, 7, 8, 12, 15?
What is the range of the following data set: 4, 9, 15, 7, 12?
A data set consists of the following values: 12, 15, 18, 21, 24, 27, 30. If the value 39 is added to the data set, how does the mean change? Calculate the new mean.
A group of 50 students was surveyed about the number of hours they spend on homework each week. The data collected is as follows (in hours): 2, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 15, 15, 16, 17. Construct a frequency table for this data.
A researcher wants to study the average height of 13-year-old students in a city. She randomly selects 100 students from different schools. What type of sampling method is she using?
A teacher wants to compare the test scores of two different classes. Class A has scores: 65, 70, 75, 80, 85. Class B has scores: 60, 70, 80, 90, 100. Which class has a greater range in scores?
Explain why using a sample instead of the entire population can sometimes lead to inaccurate conclusions. Provide one example.