Statistics
24 solved questions from Class 9 Mathematics, each with the full working. Tap any question to see the step-by-step solution.
- 1 What is the probability of getting a Head when a fair coin is tossed? medium MCQ Probability
- 2 Find the mean of the numbers: 2, 4, 6, 8, 10. medium MCQ Mean Calculation
- 3 Find the median of: 3, 7, 5, 9, 1. medium MCQ Median Calculation
- 4 What is the mode of data set: 4, 2, 4, 6, 4, 8, 2? medium MCQ Mode of Data
- 5 What is the probability of an impossible event? medium MCQ Probability Axioms
- 6 What is the sum of probabilities of all elementary events of an experiment? medium MCQ Probability Axioms
- 7 Find the class mark of class interval 10-20. medium MCQ Class Mark
- 8 A die is thrown once. Find the probability of getting an even number. medium MCQ Probability of Die
- 9 Range of a dataset is defined as: medium MCQ Range of Data
- 10 If P(E) = 0.05, what is the probability of 'not E'? medium MCQ Complementary Event
- 11 What is the domain, range, or fundamental theorem introduced in 'Statistics' (Class 9 Mathematics)? medium MCQ Functions & Theorems
- 12 What is the derivative or integral formula associated with 'Statistics'? medium MCQ Calculus & Formulae
- 13 How do you find the solution set or optimum value in 'Statistics'? medium MCQ Problem Solving & Optimization
- 14 If the probability of event E is 0.05, what is the probability of the complement of E (i.e., the event "not E")? medium 1 mark Complementary probability
- 15 A fair die is rolled twice. What is the probability that at least one of the two rolls shows a 4? medium 2 marks Complementary event probability with independent trials
- 16 A student has the following marks in 5 subjects: 78, 85, 62, 90, 73. Find the mean score. easy 1 mark Arithmetic mean of a data set
- 17 A student scores the following marks in five subjects: 55, 62, 73, 81, 49. What is the mean score? easy 2 marks Mean of a dataset
- 18 A random digit from 1 to 7 is selected. What is the probability that the digit is even? easy MCQ 2 marks Probability of selecting an even digit
- 19 Find the median of the data set: 4, 8, 12, 16, 20, 24. medium 3 marks Median of an even set
- 20 The following frequency table shows monthly rainfall (in cm) for a village over six months: | Class | Frequency | |-------|-----------| | 10-20 | 2 | | 20-30 | 5 | | 30-40 | 9 | | 40-50 | 7 | | 50-60 | 3 | | 60-70 | 4 | Find the class mark of the modal class and compute the approximate mean rainfall using the mid‑point method. hard 5 marks Mid‑point mean and modal class
- 21 Arrange the following numbers in ascending order and find the median: 4, 9, 2, 7, 5, 6, 1. medium 3 marks Median of a data set
- 22 Three fair dice are rolled simultaneously. What is the probability that the sum of the numbers on the three dice is exactly 10? hard 5 marks Probability of sum of dice
- 23 The following frequency distribution shows the number of students scoring in different ranges on a test: | Score range | Frequency | |-------------|-----------| | 0-20 | 5 | | 20-40 | 8 | | 40-60 | 12 | | 60-80 | 7 | | 80-100 | 3 | Find the class mark of the modal class and approximate mean score using the mid‑point method. medium 4 marks Frequency distribution and mid‑point method
- 24 A student obtains the following marks in five subjects: 67, 74, 88, 59, 81. What is the mean score? easy 2 marks Mean of a data set