CBSE Class 9 AI Chapter 3 MCQs with Answers (2026-27) | Math for AI (Statistics & Probability) | 50 Important Questions
Class 9 · Artificial Intelligence
Q1. Which of the following is known as the "study of patterns"?
A. Artificial Intelligence
B. Mathematics
C. Computer Vision
D. Data Acquisition
Show Answer
Answer: B. Mathematics
Explanation: Mathematics is often called the study of patterns because it helps identify relationships and structures in numbers, images, text, and other forms of data. AI relies heavily on mathematics to recognize these patterns.
Q2. Why is Mathematics essential for Artificial Intelligence?
A. To store large amounts of data.
B. To recognize patterns and make intelligent decisions.
C. To manufacture computer hardware.
D. To design websites.
Show Answer
Answer: B. To recognize patterns and make intelligent decisions.
Explanation: AI uses mathematical concepts to identify patterns in data and make predictions or decisions based on those patterns.
Q3. AI can recognize patterns in which of the following types of data?
A. Numbers only
B. Images only
C. Speech only
D. Numbers, images, speech, and text
Show Answer
Answer: D. Numbers, images, speech, and text
Explanation: Artificial Intelligence can analyze multiple forms of data, including numbers, images, speech, videos, and text, to identify meaningful patterns.
Q4. Which branch of Mathematics is mainly used for finding unknown or missing values in AI?
A. Statistics
B. Linear Algebra
C. Probability
D. Arithmetic
Show Answer
Answer: B. Linear Algebra
Explanation: Linear Algebra is widely used in AI to represent data mathematically and solve problems involving unknown or missing values.
Q5. Which mathematical concept is mainly used to train and improve AI models?
A. Statistics
B. Linear Algebra
C. Calculus
D. Probability
Show Answer
Answer: C. Calculus
Explanation: Calculus helps AI models learn efficiently by optimizing model parameters and minimizing prediction errors during training.
Q6. What is considered the "heart" of every AI model?
A. Fast Internet connection
B. Large storage devices
C. Mathematical relationships between parameters
D. High-resolution display
Show Answer
Answer: C. Mathematical relationships between parameters
Explanation: AI models are built upon mathematical equations that describe relationships between different variables, enabling machines to learn from data.
Q7. Statistics is the science of:
A. Building robots
B. Collecting, exploring, and analyzing data
C. Programming websites
D. Creating AI hardware
Show Answer
Answer: B. Collecting, exploring, and analyzing data
Explanation: Statistics deals with collecting, organizing, analyzing, interpreting, and presenting data to make informed decisions.
Q8. What is the first step in the statistical process?
A. Data Analysis
B. Data Cleaning
C. Data Collection
D. Decision Making
Show Answer
Answer: C. Data Collection
Explanation: Every statistical study begins by collecting relevant data before it can be cleaned, analyzed, and interpreted.
Q9. Why is collected data explored and cleaned before analysis?
A. To reduce internet usage.
B. To make the data uniform, accurate, and suitable for analysis.
C. To remove all numerical values.
D. To increase the file size.
Show Answer
Answer: B. To make the data uniform, accurate, and suitable for analysis.
Explanation: Cleaning removes errors, duplicates, and missing values, ensuring that the dataset is reliable for further analysis.
Q10. Which application of Statistics helps authorities plan prevention, mitigation, and recovery during emergencies?
A. Sports Analytics
B. Weather Forecasting
C. Disaster Management
D. Online Shopping
Show Answer
Answer: C. Disaster Management
Explanation: Statistics helps disaster management teams analyze population data, infrastructure, and risk levels to prepare effective response strategies.
Q11. Statistics revealed that a rise in COVID-19 cases led to the postponement of which international sporting event?
A. FIFA World Cup
B. Tokyo 2020 Olympics
C. Wimbledon Championship
D. Commonwealth Games
Show Answer
Answer: B. Tokyo 2020 Olympics
Explanation: Statistical analysis of COVID-19 cases helped authorities assess the risk, leading to the postponement of the Tokyo 2020 Olympics.
Q12. How do governments use Statistics for Disease Prediction?
A. To count the number of hospitals only.
B. To identify which diseases are affecting the population the most.
C. To estimate the number of doctors.
D. To manufacture medicines.
Show Answer
Answer: B. To identify which diseases are affecting the population the most.
Explanation: Governments analyze statistical data to identify disease trends, monitor outbreaks, and plan healthcare services and vaccination drives.
Q13. Weather forecasting uses Statistics by:
A. Guessing tomorrow's weather.
B. Comparing current weather conditions with historical data.
C. Measuring mountain heights only.
D. Counting the number of clouds.
Show Answer
Answer: B. Comparing current weather conditions with historical data.
Explanation: Weather forecasting compares present atmospheric conditions with historical weather data to predict future weather patterns.
Q14. In the "Car Spotting" activity, using tally marks is an example of:
A. Data Collection
B. Model Deployment
C. Data Visualization
D. Programming
Show Answer
Answer: A. Data Collection
Explanation: Tally marks are a simple and effective way of collecting and recording observations during surveys and activities.
Q15. Determining the most common car color from the collected data is an example of:
A. Data Acquisition
B. Data Analysis and Interpretation
C. Data Cleaning
D. AI Modeling
Show Answer
Answer: B. Data Analysis and Interpretation
Explanation: After collecting data, it is analyzed to identify patterns or trends, such as the most frequently observed car color.
Q16. Mean, Median, and Mode are examples of:
A. Inferential Statistics
B. Descriptive Statistics
C. Linear Algebra
D. Calculus
Show Answer
Answer: B. Descriptive Statistics
Explanation: Descriptive Statistics summarizes and describes the main characteristics of a dataset using measures like Mean, Median, and Mode.
Q17. Find the median of the following data: 144, 145, 147, 148, 149, 150, 152, 155, 160.
A. 148
B. 149
C. 150
D. 152
Show Answer
Answer: B. 149
Explanation: Since there are 9 numbers arranged in ascending order, the middle (5th) value is the median. Therefore, the median is 149.
Q18. In a dataset containing song release years (e.g., 2019, 2020, 2021), the "Year" column represents:
A. Qualitative Data
B. Quantitative Data
C. Textual Data
D. Categorical Data
Show Answer
Answer: B. Quantitative Data
Explanation: Years are numerical values that can be measured and analyzed statistically, making them Quantitative Data.
Q19. Data such as song duration measured in minutes and seconds is an example of:
A. Discrete Data
B. Continuous Data
C. Qualitative Data
D. Binary Data
Show Answer
Answer: B. Continuous Data
Explanation: Continuous Data can take any value within a range and is measured rather than counted.
Q20. Data representing categories such as Pop, Rock, Jazz, and Classical music is an example of:
A. Continuous Data
B. Discrete Data
C. Random Data
D. Binary Data
Show Answer
Answer: B. Discrete Data
Explanation: Categories such as music genres represent distinct groups. They are treated as discrete (categorical) data in statistical analysis.
Q21. What is the simplest definition of Probability?
A. A method of collecting data
B. A measure of how likely an event is to happen
C. A way to clean data
D. A branch of Computer Vision
Show Answer
Answer: B. A measure of how likely an event is to happen
Explanation: Probability measures the chance that a particular event will occur. Its value always lies between 0 and 1.
Q22. Which formula is used to calculate Probability?
A. Probability = Total Outcomes × Favorable Outcomes
B. Probability = Total Outcomes ÷ Favorable Outcomes
C. Probability = Number of Favorable Outcomes ÷ Total Number of Possible Outcomes
D. Probability = Favorable Outcomes − Total Outcomes
Show Answer
Answer: C. Probability = Number of Favorable Outcomes ÷ Total Number of Possible Outcomes
Explanation: The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Q23. When a fair coin is tossed once, what is the probability of getting Heads?
A. 0
B. 1
C. 0.5 (1/2)
D. 0.75
Show Answer
Answer: C. 0.5 (1/2)
Explanation: A coin has two equally likely outcomes—Heads and Tails. Therefore, the probability of getting Heads is 1/2 or 0.5.
Q24. An event that can never happen has a probability of:
A. 0.5
B. 1
C. 0
D. 2
Show Answer
Answer: C. 0
Explanation: An impossible event has no chance of occurring, so its probability is 0.
Q25. An event that is guaranteed to happen has a probability of:
A. 0
B. 0.5
C. 1
D. 2
Show Answer
Answer: C. 1
Explanation: A certain event always occurs, so its probability is equal to 1.
Q26. A bag contains 7 blue stars and 3 red stars. Picking a blue star is:
A. Impossible
B. Unlikely
C. Likely
D. Certain
Show Answer
Answer: C. Likely
Explanation: Since there are more blue stars than red stars, the chance of picking a blue star is greater than 50%, making it a likely event.
Q27. A 50–50 chance of an event is known as:
A. Impossible Event
B. Certain Event
C. Equal Probability
D. Unlikely Event
Show Answer
Answer: C. Equal Probability
Explanation: Equal Probability means that all possible outcomes have the same chance of occurring, such as getting Heads or Tails when tossing a fair coin.
Q28. In which real-life application is Probability used to predict traffic congestion?
A. Weather Forecasting
B. Traffic Estimation
C. Disease Prediction
D. Computer Vision
Show Answer
Answer: B. Traffic Estimation
Explanation: Traffic Estimation uses probability and historical traffic data to predict congestion levels and suggest better routes.
Q29. Rolling an 8 on a standard six-sided die is an example of:
A. Likely Event
B. Impossible Event
C. Certain Event
D. Equal Probability
Show Answer
Answer: B. Impossible Event
Explanation: A standard die has only six faces numbered 1 to 6. Therefore, rolling an 8 is impossible.
Q30. What is the probability of getting an even number on a standard six-sided die?
A. 1/6
B. 2/6
C. 3/6 (1/2)
D. 5/6
Show Answer
Answer: C. 3/6 (1/2)
Explanation: The even numbers on a die are 2, 4, and 6. There are 3 favorable outcomes out of 6 possible outcomes, so the probability is 3/6 or 1/2.
Q31. Identify the missing number in the series: 2, 4, 6, 8, 10, 12, ?
A. 13
B. 14
C. 15
D. 16
Show Answer
Answer: B. 14
Explanation: The pattern increases by 2 each time (even numbers). Therefore, the next number is 14.
Q32. Identify the missing number in the series: 4, 10, 16, 22, 28, ?
A. 32
B. 30
C. 34
D. 36
Show Answer
Answer: C. 34
Explanation: Each number increases by 6. Therefore, the next number is 34.
Q33. Identify the missing number in the series: 34, 31, 28, 25, 22, ?
A. 21
B. 20
C. 19
D. 18
Show Answer
Answer: C. 19
Explanation: The pattern decreases by 3 each time. Hence, the next number is 19.
Q34. Solving picture analogies helps students understand how AI:
A. Writes computer programs
B. Finds relationships between images to solve problems
C. Stores files in memory
D. Connects to the internet
Show Answer
Answer: B. Finds relationships between images to solve problems
Explanation: Picture analogies develop pattern recognition skills, helping AI identify similarities and relationships between different images.
Q35. Pattern Recognition in AI helps solve problems such as distinguishing between:
A. Pens and pencils
B. Chihuahuas and muffins
C. Cars and bicycles only
D. Letters and numbers only
Show Answer
Answer: B. Chihuahuas and muffins
Explanation: AI uses pattern recognition to distinguish between visually similar objects. The famous "Chihuahua vs Muffin" example demonstrates this capability.
Q36. Which approach forms the foundation of every AI model by describing relationships between different parameters?
A. Biological Approach
B. Mathematical Approach
C. Manual Approach
D. Hardware Approach
Show Answer
Answer: B. Mathematical Approach
Explanation: Every AI model is built on mathematical relationships that enable machines to learn patterns and make predictions.
Q37. Which of the following is an equation?
A. 2x + 5
B. x + 2 = 4x
C. x² + 2x
D. 5 + 5x + 5x²
Show Answer
Answer: B. x + 2 = 4x
Explanation: An equation always contains an equals (=) sign, showing that two mathematical expressions are equal.
Q38. Find the value of x in the equation: 10x − 8 = 6x.
A. 8
B. 4
C. 2
D. 6
Show Answer
Answer: C. 2
Explanation:
10x − 8 = 6x
10x − 6x = 8
4x = 8
x = 2
Q39. Which statistical measure is commonly known as the "average" of a dataset?
A. Median
B. Mode
C. Mean
D. Range
Show Answer
Answer: C. Mean
Explanation: The Mean is calculated by adding all the values in a dataset and dividing the total by the number of observations.
Q40. Which pair belongs to Descriptive Statistics?
A. Median and Correlation
B. Mean and Standard Deviation
C. Mode and Regression
D. Variance and Hypothesis Testing
Show Answer
Answer: B. Mean and Standard Deviation
Explanation: Mean and Standard Deviation summarize the characteristics of a dataset and are important measures used in Descriptive Statistics.
Q41. AI can use pattern recognition to predict natural disasters such as:
A. Earthquakes only
B. Hurricanes
C. Volcanic eruptions only
D. Tides only
Show Answer
Answer: B. Hurricanes
Explanation: AI analyzes large amounts of weather data and identifies patterns to predict natural disasters such as hurricanes, helping authorities prepare in advance.
Q42. In the Traffic Light example of the DIKW Pyramid, seeing the traffic light turn red is "Information." Deciding to stop the car represents:
A. Data
B. Knowledge
C. Wisdom
D. Statistics
Show Answer
Answer: C. Wisdom
Explanation: Wisdom is the ability to make the correct decision using knowledge. Seeing the red light provides information, while deciding to stop the vehicle demonstrates wisdom.
Q43. A Pie Chart is mainly used during which stage of a statistical project?
A. Data Collection
B. Data Exploration and Visualization
C. Data Cleaning
D. AI Model Training
Show Answer
Answer: B. Data Exploration and Visualization
Explanation: Pie Charts visually represent data, making it easier to understand proportions and compare categories during data analysis.
Q44. Which type of graph is best used to show changes in data over time?
A. Pie Chart
B. Bar Graph
C. Line Graph
D. Histogram
Show Answer
Answer: C. Line Graph
Explanation: A Line Graph displays trends and changes over a period of time by connecting data points with lines.
Q45. Which of the following is NOT a problem that AI solves using Mathematics?
A. Finding middle values in data
B. Determining the slope of a line
C. Calculating totals and averages
D. Writing newspaper articles automatically
Show Answer
Answer: D. Writing newspaper articles automatically
Explanation: Mathematics helps AI perform calculations, identify patterns, and make predictions. Writing newspaper articles is an application of AI but not one of the mathematical problems discussed in this unit.
Q46. During the Car Spotting activity, students recorded the following tally marks:
Red (III), Black (IIII), White (IIII III). How many cars were spotted in total?
A. 12
B. 13
C. 14
D. 15
Show Answer
Answer: C. 14
Explanation: Red = 3, Black = 4, White = 7. Therefore, the total number of cars is 3 + 4 + 7 = 14.
Q47. Which branch of Mathematics is mainly used for predicting future events?
A. Linear Algebra
B. Calculus
C. Statistics
D. Probability
Show Answer
Answer: D. Probability
Explanation: Probability measures the likelihood of events occurring and is widely used in AI for prediction and decision-making.
Q48. If the profit in Year 1 is ₹1000 and it increases by ₹500 every year, what will be the profit in Year 5?
A. ₹2500
B. ₹3000
C. ₹3500
D. ₹4000
Show Answer
Answer: B. ₹3000
Explanation:
Year 1 = ₹1000
Year 2 = ₹1500
Year 3 = ₹2000
Year 4 = ₹2500
Year 5 = ₹3000
Q49. Which branch of Mathematics is primarily used to find unknown or missing values in AI?
A. Statistics
B. Calculus
C. Linear Algebra
D. Arithmetic
Show Answer
Answer: C. Linear Algebra
Explanation: Linear Algebra helps AI systems represent data mathematically and solve equations involving unknown or missing values.
Q50. Why is Mathematics essential for designing AI systems?
A. It allows machines to understand only English language.
B. It enables machines to process data in binary form and identify mathematical relationships.
C. It improves internet speed.
D. It increases computer storage capacity.
Show Answer
Answer: B. It enables machines to process data in binary form and identify mathematical relationships.
Explanation: Computers process information in binary (0s and 1s). Mathematics helps AI identify relationships within this data, enabling machines to learn patterns and make intelligent decisions.
❓ Quick Revision
- Mathematics is the foundation of Artificial Intelligence and is known as the study of patterns.
- Statistics involves collecting, organizing, analyzing, and interpreting data.
- The statistical process includes Data Collection → Data Cleaning → Data Analysis → Decision Making.
- Mean, Median, and Mode are important measures of Descriptive Statistics.
- Probability measures the likelihood of an event occurring and is calculated as:
Probability = Favorable Outcomes ÷ Total Possible Outcomes. - An Impossible Event has Probability = 0, while a Certain Event has Probability = 1.
- Pattern Recognition enables AI to identify similarities, trends, and relationships in data.
- Line Graphs show trends over time, while Pie Charts show proportions of a whole.
- Linear Algebra helps find unknown values, Calculus trains AI models, Statistics analyzes data, and Probability predicts future events.
? Exam Tip
For CBSE Class 9 AI examinations, focus on the roles of Statistics, Probability, Linear Algebra, and Calculus in Artificial Intelligence. Practice questions on Mean, Median, Probability Formula, Pattern Recognition, Graphs, and real-life applications, as these are frequently asked in MCQs, competency-based questions, and case-study questions.