Data & Probability — practice questions, page 5
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Twenty families were asked how many story books they bought last month. The replies were 2, 0, 3,…A drawer holds 8 black socks and 6 white socks jumbled together. In the dark a sock is taken out…A shopkeeper's purchase record reads — Rice: 12 kg for ₹720. Wheat: 20 kg for ₹640. Oats: 8 kg for…A biased coin shows a head with probability 2/3. It is tossed 3 times independently. What is the…Machine M fills packets with mean weight 500 g and standard deviation 20 g. Machine N fills…Three people are chosen at random and each is equally likely to have been born on any of the 7…A stall's three-day sales record reads — Pens: Mon 25, Tue 30, Wed 35. Notebooks: Mon 18, Tue 22,…Three students are selected at random from a group of 6 boys and 4 girls. What is the probability…For the grouped data 15–20: 5, 20–25: 12, 25–30: 20, 30–35: 8, 35–40: 3 (class interval:…The probability that a student passes a test is 0.7. What are the odds AGAINST the student passing?Temperatures recorded at a station during one day, in °C. 6 am 14, 9 am 19, 12 noon 27, 3 pm 30, 6…Three boys and three girls stand in a row in a random order. What is the probability that no two…A data set has coefficient of variation 20 percent and variance 144. Find its mean.In a survey of 100 families, 55 read newspaper A, 45 read B and 40 read C; 25 read both A and B,…Vehicles counted at a toll gate. Cars: morning 120, evening 180. Buses: morning 40, evening 20.…The daily maximum temperature (in °C) at a station for 15 days was 31, 34, 29, 36, 33, 30, 38, 35,…A grouped distribution is worked out by the step-deviation method with assumed mean A = 45, class…A jar holds 3 white and 2 black counters. They are drawn out one at a time at random, without…A 'more than' cumulative table of weekly study time in hours reads — more than 0: 60, more than 5:…Two sections were compared. Section P: mean mark 45, standard deviation 9. Section Q: mean mark…The monthly salaries of the 7 employees of a small firm, in thousands of rupees, are 18, 20, 22,…A circular dartboard has radius 20 cm and a central bull of radius 5 cm. A dart thrown at the…A spinner is divided into four sectors with central angles 60°, 90°, 120° and 90°, coloured red,…A rectangular field measures 20 m by 15 m and contains a square flower bed of side 6 m. A ball…A square sheet of side 14 cm has a circle of diameter 14 cm drawn inside it, touching all four…
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