All Free Quantitative Methods MCQs with Answers
Every Quantitative Methods question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.
360 questions · page 4 of 18
- A. Published data
- B. Secondary data
- C. Grouped data
- D. Primary data
Explanation: Primary data are obtained firsthand for the particular investigation, such as through interviews or measurements.
Correct answer: Primary data- A. Quota sampling
- B. Census method
- C. Random sampling
- D. Pilot survey
Explanation: A census includes every member or unit of the population under study. Sampling methods collect information from only a selected part of…
Correct answer: Census method- A. Calculate a class boundary
- B. Draw a frequency polygon
- C. Collect standardised responses
- D. Display data by sectors
Explanation: A questionnaire uses a common set of questions, making responses easier to compare across participants.
Correct answer: Collect standardised responses- A. A chance fixed by the researcher
- B. A guaranteed chance of selection
- C. A chance based on convenience
- D. An equal known chance of selection
Explanation: Simple random sampling gives each population member an equal and known probability of being selected.
Correct answer: An equal known chance of selection65. Which graph is generally used to represent continuous grouped data with adjoining class intervals?
- A. Histogram
- B. Bar chart
- C. Pie chart
- D. Pictogram
Explanation: A histogram uses adjoining rectangles because continuous class intervals share boundaries.
Correct answer: Histogram- A. 45 degrees
- B. 90 degrees
- C. 120 degrees
- D. 150 degrees
Explanation: The sector angle is calculated as frequency divided by total frequency multiplied by 360 degrees.
Correct answer: 90 degrees- A. Median
- B. Arithmetic mean
- C. Mode
- D. Range
Explanation: The arithmetic mean equals the sum of all observations divided by the number of observations.
Correct answer: Arithmetic mean- A. Class boundary
- B. Cumulative frequency
- C. Class frequency
- D. Class mark
Explanation: The class mark is the midpoint of a class and is calculated as (20 + 30) divided by 2, giving 25.
Correct answer: Class mark- A. Ogive
- B. Histogram
- C. Scatter diagram
- D. Frequency polygon
Explanation: An ogive is a cumulative frequency curve and is commonly plotted using upper class boundaries for a less-than distribution.
Correct answer: Ogive- A. Pie chart
- B. Bar chart
- C. Ogive
- D. Stem-and-leaf plot
Explanation: A bar chart makes separate category totals easy to compare using the heights of bars.
Correct answer: Bar chart- A. Primary data
- B. Experimental data
- C. Secondary data
- D. Raw data
Explanation: Secondary data already exist and are obtained from sources such as reports or records.
Correct answer: Secondary data- A. All units in one area
- B. Only volunteer units
- C. One unit from each stratum
- D. Every kth unit
Explanation: Systematic sampling selects units at a fixed interval, such as every tenth person, after a starting point is chosen.
Correct answer: Every kth unit73. Which sampling method divides a population into subgroups and then selects units from each subgroup?
- A. Stratified sampling
- B. Cluster sampling
- C. Convenience sampling
- D. Systematic sampling
Explanation: Stratified sampling divides the population into relevant subgroups called strata and samples from each one.
Correct answer: Stratified sampling- A. Relationship between two variables
- B. Order of observations over time
- C. Number of observations in each category
- D. Difference between two averages
Explanation: A frequency distribution records how many observations fall into each category or class.
Correct answer: Number of observations in each category- A. Stem-and-leaf plot
- B. Scatter diagram
- C. Line diagram
- D. Bar diagram
Explanation: A bar diagram uses separate rectangular bars to compare categories, with gaps normally appearing between them.
Correct answer: Bar diagram- A. Captions
- B. Stubs
- C. Footnotes
- D. Source notes
Explanation: Captions are the headings placed above the columns of a table. Stubs are the headings placed at the side, usually for rows.
Correct answer: Captions- A. Simple table
- B. Manifold table
- C. Frequency table
- D. Chronological table
Explanation: A manifold table classifies data according to two or more characteristics simultaneously.
Correct answer: Manifold table- A. 0.015
- B. 0.15
- C. 1.5
- D. 15.0
Explanation: Relative frequency equals the category frequency divided by the total frequency: 18 divided by 120 equals 0.15.
Correct answer: 0.15- A. Frequency polygon
- B. Pie chart
- C. Percentage bar chart
- D. Stem-and-leaf plot
Explanation: A stem-and-leaf plot retains the individual data values while arranging them to show the distribution.
Correct answer: Stem-and-leaf plot- A. 9.0 and 19.0
- B. 9.5 and 19.5
- C. 10.0 and 20.0
- D. 10.5 and 19.5
Explanation: When observations are rounded to the nearest whole unit, 0.5 is added and subtracted to form continuous boundaries.
Correct answer: 9.5 and 19.5