Data & Probability — practice questions, page 3
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Rainfall recorded (in mm). City X: 2021 820, 2022 960, 2023 900. City Y: 2021 600, 2022 540, 2023…Three tests of a course carry weights 30 percent, 50 percent and 20 percent. A student scores 80,…A fair coin is tossed repeatedly until a head appears. What is the probability that the first head…For a set of 10 observations the sum of the observations is 60 and the sum of their squares is…The result of a test is recorded as follows — Boys: Pass 60, Fail 30. Girls: Pass 80, Fail 30. One…Marks obtained in three subjects — Riya: Maths 82, Science 76, English 68. Aman: Maths 74, Science…The mean of 5 numbers is 27. When one of the numbers is removed, the mean of the remaining numbers…A bag contains 4 white and 5 black balls. Two balls are drawn one after the other without…The standard deviation of five numbers is 4. Each of the numbers is multiplied by 3. What is the…A player scores a goal in a match with probability 1/4, independently of every other match. He…Number of students in three classes — Class 8: Boys 24, Girls 18. Class 9: Boys 20, Girls 27.…What is the mean of the first 20 odd natural numbers?A box contains 3 red and 7 blue pens. Two pens are drawn one after the other without replacement.…For the data 4, 7, 9, 12, 15, 20, 21, 24, 27, 30, 35 (already in ascending order) find the…A fair coin is tossed 4 times. What is the probability that no two heads occur on consecutive…Choice of game by 500 students — Cricket: Boys 120, Girls 60. Football: Boys 90, Girls 30.…The mean of a group of 30 numbers is 18 and the mean of a second group of numbers is 24. When the…In a game a fair die is rolled once. The player receives ₹30 if a 6 appears and pays ₹6 if any…The variance of a data set is 25. If 6 is added to every observation of the set, what is the…Bag A contains 3 red and 5 white balls; Bag B contains 4 red and 4 white balls. A bag is chosen at…Number of patients treated in four weeks — Clinic A: Week1 45, Week2 60, Week3 55, Week4 40.…For the grouped data 0–10: 5, 10–20: 15, 20–30: 20, 30–40: 8, 40–50: 2 (class interval:…One card is drawn from a well-shuffled pack of 52 playing cards. Given that the card drawn is red,…The mean of 15 numbers is 40. Each of the first 5 numbers is increased by 6 and each of the…Runs scored in three matches — Player P: Match1 30, Match2 45, Match3 55. Player Q: Match1 40,…
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