Data & Probability — practice questions, page 2
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A cumulative frequency table of marks reads: less than 10: 5, less than 20: 13, less than 30: 28,…Find the median of the data 17, 23, 11, 29, 35, 20, 26, 14.A bag contains 6 red and 4 black balls. Two balls are drawn at random one after the other without…The probability that it rains tomorrow is 0.35 and the probability of a thunderstorm is 0.2. A…The mean of 10 numbers is 24. Later it was found that one number had been read as 36 instead of…For the grouped data 0–10: 4, 10–20: 6, 20–30: 10, 30–40: 12, 40–50: 8 (class interval:…For the grouped data 0–10: 7, 10–20: 14, 20–30: 13, 30–40: 12, 40–50: 20, 50–60: 11, 60–70: 15…A bar chart shows the runs scored by a batter in five matches: Match 1: 45, Match 2: 78, Match 3:…A pair of fair dice is thrown. What is the probability that the two numbers shown differ by…A three-digit number is formed using the digits 1, 2, 3, 4, 5 without repeating any digit. If one…The data 3, 4, 5, x, 9, 11 is written in ascending order and its median is 6.5. Find the value of x.Sales (in ₹ thousand) of two stores are as follows. Store P: Jan 120, Feb 150, Mar 180, Apr 90.…The number of books issued from a library was Monday 45, Tuesday 60, Wednesday 35, Thursday 70,…A letter is chosen at random from the letters of the word MATHEMATICS. What is the probability…Tickets numbered 1 to 25 are placed in a box and one ticket is drawn at random. What is the…The mean of 8 observations is 40. If two of the observations, 22 and 28, are removed, what is the…For the distribution 0–10: 5, 10–20: 8, 20–30: 12, 30–40: 10, 40–50: 5 (class interval:…In a class of 40 students, 24 like cricket, 20 like football and 8 like both games. A student is…Four fair coins are tossed together. What is the probability of getting at most one head?Two fair dice are rolled and it is known that at least one of them shows a 4. What is the…Find the variance of the observations 2, 4, 6, 8, 10.Books sold (in hundreds) over four days — Shop A: Mon 24, Tue 30, Wed 18, Thu 28. Shop B: Mon 16,…A family has two children and each child is equally likely to be a boy or a girl. Given that at…The median of a data set is 24. Every observation is first multiplied by 2 and then increased by…A carton contains 12 bulbs of which 3 are defective. Three bulbs are drawn at random from the…
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