Students find these Class 9 AI MCQ Chapter 5 Math for AI Class 9 MCQ Online Test with Answers helpful for self-assessment and preparation.
Class 9 Math for AI MCQ
MCQ on Math for AI Class 9
Class 9 Math for AI MCQ – Math for AI MCQ Class 9
Multiple Choice Questions
Question 1.
What is the primary role of statistics in artificial intelligence?
(a) To write code for AI algorithms
(b) To clean and prepare data for AI models
(c) To design user interfaces for AI applications
(d) To optimize hardware for AI processing
Answer:
(b) To clean and prepare data for AI models
Question 2.
Which branch of mathematics is essential for optimizing the parameters of AI models?
(a) Algebra
(b) Geometry
(c) Calculus
(d) Trigonometry
Answer:
(c) Calculus
Question 3.
What mathematicaltechnique is commonly used to adjust the parameters of AI models to minimize errors?
(a) Regression analysis
(b) Gradient descent
(c) Matrix factorization
(d) Monte Carlo simulation
Answer:
(b) Gradient descent
Question 4.
Which measure of central tendency is the most common and is calculated as the sum of all values divided by the number of values?
(a) Mode
(b) Median
(c) Mean
(d) Range
Answer:
(c) Mean
Question 5.
In a data set {2,3,11,13,26,34,47}, what is the median value?
(a) 11
(b) 13
(c) 26
(d) 34
Answer:
(b) 13
Question 6.
What is the mode in the data set {3,3,6,9,16,16, 16, 27, 27, 37, 48)?
(a) 3
(b) 16
(c) 27
(d) 48
Answer:
(b) 16
Question 7.
How is variance calculated in a data set?
(a) By taking the sum of the data points
(b) By calculating the average of the data points
(c) By finding the average squared deviation from the mean
(d) By dividing the sum of the squares by the number of values
Answer:
(c) By finding the average squared deviation from the mean
Question 8.
Which field uses statistical analysis to evaluate player performance and predict game outcomes?
(a) Finance
(b) Marketing
(c) Sports
(d) Education
Answer:
(c) Sports
Question 9.
Which statistical measure is the square root of the variance?
(a) Mean
(b) Mode
(c) Standard deviation
(d) Median
Answer:
(c) Standard deviation
Question 10.
In machine learning, what role does probability theory play?
(a) It helps design user interfaces for AI applications
(b) It models uncertainty in data and makes predictions
(c) It optimizes hardware for AI processing
(d) It writes code for AI algorithms
Answer:
(b) It models uncertainty in data and makes predictions
Question 11.
What is the function of linear algebra in Al?
(a) Training AI models
(b) Summarizing data
(c) Representing and manipulating data
(d) Predicting future events
Answer:
(c) Representing and manipulating data
Question 12.
What is one of the activities involved in the field of statistics?
(a) Conducting a survey
(b) Writing AI algorithms
(c) Designing hardware for AI
(d) Developing user interfaces
Answer:
(a) Conducting a survey
Question 13.
Which application of statistics helps in predicting disease outbreaks and allocating healthcare resources?
(a) Disaster management
(b) Disease prediction
(c) Weather forecast
(d) Business analysis
Answer:
(b) Disease prediction
Question 14.
How does Al use calculus to improve its models?
(a) By analyzing and summarizing data
(b) By training and optimizing the models
(c) By representing data in vectors and matrices
(d) By predicting different outcomes
Answer:
(b) By training and optimizing the models
Question 15.
What does the term “bimodal” mean in statistics?
(a) A dataset with no modes
(b) A dataset with one mode
(c) A dataset with two modes
(d) A dataset with multiple modes
Answer:
(c) A dataset with two modes
Statement Based Questions
Question 1.
Statement 1: Probability helps Al systems to reason under uncertainty and make optimal choices.
Statement 2: Statistics is used to extract meaningful insights and identify patterns in data for AI.
(a) Both Statement 1 and Statement 2 are correct
(b) Both Statement 1 and Statement 2 are incorrect
(c) Statement 1 is correct but Statement 2 is incorrect
(d) Statement 2 is correct but Statement 1 is incorrect
Answer:
(a) Both Statement 1 and Statement 2 are correct
Question 2.
Statement 1: Linear algebra is used to represent data in a way that AI models can understand and manipulate.
Statement 2: Calculus is used in AI for predicting different events.
(a) Both Statement 1 and Statement 2 are correct
(b) Both Statement 1 and Statement 2 are incorrect
(c) Statement 1 is correct but Statement 2 is incorrect
(d) Statement 2 is correct but Statement 1 is incorrect
Answer:
(c) Statement 1 is correct but Statement 2 is incorrect
Question 3.
Statement 1: Standard deviation measures the average squared deviation from the mean.
Statement 2: Median is the middle value in a data set when the data is ordered from least to greatest.
(a) Both Statement 1 and Statement 2 are correct
(b) Both Statement 1 and Statement 2 are incorrect
(c) Statement 1 is correct but Statement 2 is incorrect
(d) Statement 2 is correct but Statement 1 is incorrect
Answer:
(d) Statement 2 is correct but Statement 1 is incorrect
Question 4.
Statement 1: Probability is a measure of how likely an event is to happen, expressed as a number between 0 and 1.
Statement 2: The sum of probabilities of all possible outcomes of a chance event is always equal to 1.
(a) Both Statement 1 and Statement 2 are correct
(b) Both Statement 1 and Statement 2 are incorrect
(c) Statement 1 is correct but Statement 2 is incorrect
(d) Statement 2 is correct but Statement 1 is incorrect
Answer:
(a) Both Statement 1 and Statement 2 are correct
Question 5.
Statement 1: Weather forecasting relies on probability to predict future weather conditions based on historical data and current atmospheric conditions.
Statement 2: In sports, probability is used to calculate the likelihood of a specific outcome, such as a player hitting a home run in baseball.
(a) Both Statement 1 and Statement 2 are correct
(b) Both Statement 1 and Statement 2 are incorrect
(c) Statement 1 is correct but Statement 2 is incorrect
(d) Statement 2 is correct but Statement 1 is incorrect
Answer:
(a) Both Statement 1 and Statement 2 are correct
Assertion & Reason Based Questions
Question 1.
Assertion: Statistics is a crucial tool for Al because it helps in preparing data for learning by identifying outliers and choosing relevant features.
Reason: Statistical techniques enable the cleaning of data, which leads to more accurate and efficient learning in Al systems.
(a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
(b) Both Assertion and Reason are true, but Reason is not the correct explanation of Assertion.
(c) Assertion is true, but Reason is false.
(d) Assertion is false, but Reason is true.
Answer:
(a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
Question 2.
Assertion: Calculus is essential in Al for optimizing the performance of models by adjusting parameters using techniques like gradient descent.
Reason: Calculus provides tools to represent and manipulate data in Al systems effectively.
(a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
(b) Both Assertion and Reason are true, but Reason is not the correct explanation of Assertion.
(c) Assertion is true, but Reason is false.
(d) Assertion is false, but Reason is true.
Answer:
(a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
Question 3.
Assertion: Standard deviation is a measure of how spread out data points are from the mean and is expressed in the same units as the original data.
Reason: Variance is the square root of the standard deviation.
(a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
(b) Both Assertion and Reason are true, but Reason is not the correct explanation of Assertion.
(c) Assertion is true, but Reason is false.
(d) Assertion is false, but Reason is true.
Answer:
(c) Assertion is true, but Reason is false.
Question 4.
Assertion : Probability theory is crucial in Al for modeling uncertainty in data and making informed decisions under certain conditions.
Reason: In facial recognition technology, Al uses probability theory to precisely identify features like the shape of a nose or the distance between eyes.
(a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
(b) Both Assertion and Reason are true, but Reason is not the correct explanation of Assertion.
(c) Assertion is true, but Reason is false.
(d) Assertion is false, but Reason is true.
Answer:
(a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
