📝 PM Review: Data Handling

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Question 1 Difficulty 1
What is data?
  • A A type of graph
  • B A collection of facts and numbers
  • C A mathematical operation
  • D A computer program
💡 Explanation Data refers to a collection of facts and numbers that can be analyzed.
Question 2 Difficulty 1
What type of data is the number of students in your class?
  • A Continuous Data
  • B Discrete Data
  • C Categorical Data
  • D Interval Data
💡 Explanation The number of students can be counted, making it discrete data.
Question 3 Difficulty 1
Which of the following is an example of continuous data?
  • A Number of cars in a parking lot
  • B Weight of a school bag
  • C Votes in an election
  • D Number of books on a shelf
💡 Explanation Weight can take any value within a range, making it continuous data.
Question 4 Difficulty 1
What does a bar graph represent?
  • A Parts of a whole
  • B Comparison of numbers
  • C A sequence of events
  • D A timeline
💡 Explanation Bar graphs are used to compare different quantities or numbers.
Question 5 Difficulty 1
What is a pie chart used for?
  • A To show changes over time
  • B To compare different numbers
  • C To show parts of a whole
  • D To list items
💡 Explanation Pie charts visually represent parts of a whole using slices.
Question 6 Difficulty 1
How do you calculate the mean?
  • A Add all numbers and divide by the total
  • B Find the middle number
  • C Identify the most frequent number
  • D Count the total number of values
💡 Explanation The mean is found by adding all numbers and dividing by how many there are.
Question 7 Difficulty 1
What is the mode of the data set: 2, 3, 4, 4, 5?
  • A 2
  • B 3
  • C 4
  • D 5
💡 Explanation The mode is the number that appears most frequently, which is 4.
Question 8 Difficulty 1
What type of graph can be misleading?
  • A Bar Graph
  • B Pie Chart
  • C Line Graph
  • D Any graph
💡 Explanation Any graph can be misleading if not represented accurately.
Question 9 Difficulty 1
What describes accuracy in data?
  • A How close a number is to the actual value
  • B How exact a number is
  • C The average of a set of data
  • D The most common value in data
💡 Explanation Accuracy refers to how close a number is to the true or actual value.
Question 10 Difficulty 1
What is the median of the data set: 1, 3, 3, 6, 7, 8, 9?
  • A 3
  • B 6
  • C 7
  • D 5
💡 Explanation The median is the middle number in a sorted list, which is 6.
Question 11 Difficulty 2
Which of these is not a method of showing data?
  • A Bar Graph
  • B Pie Chart
  • C Histogram
  • D Book Report
💡 Explanation A book report is not a method of showing data; it is a narrative description.
Question 12 Difficulty 2
Which data type includes measurements like height and weight?
  • A Categorical Data
  • B Discrete Data
  • C Continuous Data
  • D Ordinal Data
💡 Explanation Height and weight are examples of continuous data because they can take any value within a range.
Question 13 Difficulty 2
In a bar graph, what does the height of the bars represent?
  • A The quantity of each category
  • B The average value
  • C The total number of items
  • D The percentage of each category
💡 Explanation The height of the bars in a bar graph represents the quantity associated with each category.
Question 14 Difficulty 2
If the mode of a data set is 5, what does this indicate?
  • A 5 is the average
  • B 5 appears most frequently
  • C 5 is the smallest number
  • D 5 is the largest number
💡 Explanation The mode is the number that appears most often, indicating 5 appears frequently in the data set.
Question 15 Difficulty 2
What is the correct way to find the median in an even set of numbers?
  • A Average the two middle numbers
  • B Take the first middle number
  • C Count the total numbers
  • D Identify the largest number
💡 Explanation To find the median in an even set, you average the two middle numbers.
Question 16 Difficulty 2
What does precision in data mean?
  • A Being close to actual value
  • B Being very exact
  • C Being very average
  • D Being very frequent
💡 Explanation Precision refers to how exact a number is, regardless of its accuracy.
Question 17 Difficulty 2
What is a misleading graph?
  • A A graph that is difficult to read
  • B A graph that exaggerates the data
  • C A graph that shows too much data
  • D A graph with too many colors
💡 Explanation A misleading graph is one that exaggerates or misrepresents the actual data.
Question 18 Difficulty 2
How do you find the mean of these numbers: 4, 8, 6?
  • A 6
  • B 8
  • C 4
  • D 18
💡 Explanation To find the mean, add the numbers (4 + 8 + 6 = 18) and divide by the total number (3), which gives 6.
Question 19 Difficulty 2
What type of data would you use to track the temperature over a week?
  • A Discrete Data
  • B Continuous Data
  • C Categorical Data
  • D Nominal Data
💡 Explanation Temperature is measured and can take any value within a range, making it continuous data.
Question 20 Difficulty 2
Which is the best visual representation to show market share of companies?
  • A Line Graph
  • B Bar Graph
  • C Pie Chart
  • D Histogram
💡 Explanation A pie chart is effective for showing parts of a whole, such as market share.
Question 21 Difficulty 3
In a set of numbers 10, 20, 20, 30, 40, what is the mode?
  • A 10
  • B 20
  • C 30
  • D 40
💡 Explanation The mode is the number that appears most frequently, which is 20.
Question 22 Difficulty 3
What is the median of the data set: 7, 2, 9, 4, 6?
  • A 4
  • B 6
  • C 5
  • D 7
💡 Explanation After sorting the numbers (2, 4, 6, 7, 9), the middle number is 6.
Question 23 Difficulty 3
Which statement about mean is true?
  • A It cannot be calculated for negative numbers
  • B It is the same as the median
  • C It can be affected by extremely high or low values
  • D It always equals the mode
💡 Explanation The mean can be heavily influenced by outliers, which are extremely high or low values.
Question 24 Difficulty 3
If the mean of a dataset is 15 and there are 5 numbers, what is the total sum of the numbers?
  • A 60
  • B 75
  • C 100
  • D 50
💡 Explanation To find the total sum, multiply the mean by the number of items: 15 * 5 = 75.
Question 25 Difficulty 3
In a pie chart, if one slice is 25%, what does it represent?
  • A A quarter of the total
  • B Half of the total
  • C A full total
  • D One-fourth of the total
💡 Explanation A slice representing 25% indicates that it is one-quarter of the whole.
Question 26 Difficulty 3
Which type of data is the height of students in a class?
  • A Discrete Data
  • B Continuous Data
  • C Categorical Data
  • D Ordinal Data
💡 Explanation Height is measured and can take any value within a range, making it continuous data.
Question 27 Difficulty 3
What is the accuracy of a measurement?
  • A Closeness to the true value
  • B Exactness of the measurement
  • C Average of all measurements
  • D Frequency of measurement
💡 Explanation Accuracy refers to how close a measurement is to the true or actual value.
Question 28 Difficulty 3
Which of the following can mislead data representation?
  • A Proper scales
  • B Inaccurate labels
  • C Clear titles
  • D Accurate data
💡 Explanation Inaccurate labels can mislead viewers about what the data actually represents.
Question 29 Difficulty 3
What is the mean of 5, 10, 15, 20?
  • A 10
  • B 12.5
  • C 15
  • D 20
💡 Explanation The mean is (5 + 10 + 15 + 20) / 4 = 50 / 4 = 12.5.
Question 30 Difficulty 3
What is the median of the following numbers: 1, 3, 5, 7, 9, 11?
  • A 5
  • B 6
  • C 7
  • D 8
💡 Explanation The median is the middle number of the sorted list, which is 6.
Question 31 Difficulty 4
If the mean of five numbers is 20, what is their total sum?
  • A 100
  • B 80
  • C 20
  • D 50
💡 Explanation To find the total sum, multiply the mean by the number of items: 20 * 5 = 100.
Question 32 Difficulty 4
In a dataset 10, 20, 30, 40, 50, what is the median?
  • A 30
  • B 35
  • C 40
  • D 50
💡 Explanation The median is the middle value in the sorted list, which is 30.
Question 33 Difficulty 4
Which of the following graphs is best for showing trends over time?
  • A Bar Graph
  • B Line Graph
  • C Pie Chart
  • D Scatter Plot
💡 Explanation A line graph is best for showing trends over time.
Question 34 Difficulty 4
What is the mode of the numbers: 2, 3, 3, 5, 7, 7, 7?
  • A 2
  • B 3
  • C 5
  • D 7
💡 Explanation The mode is the number that appears most frequently, which is 7.
Question 35 Difficulty 4
If a pie chart shows that 40% of a budget is spent on education, what does this mean?
  • A Education is the least priority
  • B Education is a major expense
  • C Education is not funded
  • D Education is the only expense
💡 Explanation Spending 40% of a budget on education indicates that it is a significant expense.
Question 36 Difficulty 4
Which type of data is used for survey responses like 'Yes' or 'No'?
  • A Continuous Data
  • B Categorical Data
  • C Discrete Data
  • D Interval Data
💡 Explanation Survey responses like 'Yes' or 'No' are categorical data because they categorize responses.
Question 37 Difficulty 4
How can outliers affect the mean of a dataset?
  • A They have no effect
  • B They can increase the mean
  • C They can decrease the mean
  • D Both B and C
💡 Explanation Outliers can significantly increase or decrease the mean, making it less representative of the data.
Question 38 Difficulty 4
What does a histogram represent?
  • A Parts of a whole
  • B Frequency distribution of data
  • C Changes over time
  • D Comparison of categories
💡 Explanation A histogram represents the frequency distribution of continuous data.
Question 39 Difficulty 4
If a dataset has a mean of 10 and a mode of 8, what can we infer?
  • A The dataset is uniform
  • B There are outliers
  • C The mean is less than the mode
  • D The mean is greater than the mode
💡 Explanation If the mean is greater than the mode, it suggests that higher values are influencing the average.
Question 40 Difficulty 4
Which graph is best for comparing categories?
  • A Pie Chart
  • B Line Graph
  • C Bar Graph
  • D Histogram
💡 Explanation A bar graph is the best choice for comparing different categories side by side.
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