Statistics
19 solved questions from Class 10 Mathematics, each with the full working. Tap any question to see the step-by-step solution.
- 1 The ages (in years) of 8 students in a class are: 12, 15, 13, 14, 16, 15, 14, 13. Find the mean age. easy 1 mark Mean of ungrouped data
- 2 In a survey of 30 households, the number of members per household is: 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,8,8,8,9,9. Find the mode. medium 2 marks Mode of ungrouped data
- 3 The heights (in cm) of 40 students are grouped as follows: Class interval | Frequency 140‑149 | 5 150‑159 | 12 160‑169 | 15 170‑179 | 6 180‑189 | 2 Find the estimated mean height. medium 2 marks Mean of grouped data
- 4 What is the probability of getting a Head when a fair coin is tossed? medium MCQ Probability
- 5 Find the mean of the numbers: 2, 4, 6, 8, 10. medium MCQ Mean Calculation
- 6 Find the median of: 3, 7, 5, 9, 1. medium MCQ Median Calculation
- 7 What is the mode of data set: 4, 2, 4, 6, 4, 8, 2? medium MCQ Mode of Data
- 8 What is the probability of an impossible event? medium MCQ Probability Axioms
- 9 What is the sum of probabilities of all elementary events of an experiment? medium MCQ Probability Axioms
- 10 Find the class mark of class interval 10-20. medium MCQ Class Mark
- 11 A die is thrown once. Find the probability of getting an even number. medium MCQ Probability of Die
- 12 Range of a dataset is defined as: medium MCQ Range of Data
- 13 If P(E) = 0.05, what is the probability of 'not E'? medium MCQ Complementary Event
- 14 What is the domain, range, or fundamental theorem introduced in 'Statistics' (Class 10 Mathematics)? medium MCQ Functions & Theorems
- 15 What is the derivative or integral formula associated with 'Statistics'? medium MCQ Calculus & Formulae
- 16 How do you find the solution set or optimum value in 'Statistics'? medium MCQ Problem Solving & Optimization
- 17 Find the mean daily wages of 50 workers in a factory using the assumed mean method for the following data: Daily Wages (in ₹): 500–520, 520–540, 540–560, 560–580, 580–600 Number of workers: 12, 14, 8, 6, 10 medium 3 marks Assumed mean method for grouped data
- 18 For a given frequency distribution, the mean is 28 and the median is 30. Using the empirical relationship between the measures of central tendency, find the mode of the distribution. easy MCQ 1 mark Empirical relation between measures of central tendency
- 19 The median of the following frequency distribution is 525. Find the values of missing frequencies x and y, if the total frequency is 100. Class interval | Frequency 0–100 | 2 100–200 | 5 200–300 | x 300–400 | 12 400–500 | 17 500–600 | 20 600–700 | y 700–800 | 9 800–900 | 7 900–1000 | 4 hard 5 marks Finding missing frequencies using median