Statistics — practice questions, page 6
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A class of 50 students has a mean of 64 marks. The top 20% of students averaged 88 and the bottom…Six different positive integers have a mean of 10. What is the largest possible value of the…Classes 0–20, 20–40, 40–60, 60–80 and 80–100 have frequencies 5, 9, f, 11 and 5, and the mean of…The distribution below has 60 observations and median 28.5. Classes 0–10, 10–20, 20–30, 30–40,…Section A has 30 students with mean 54 and section B has 45 students; the two together average 60.…The less-than cumulative frequencies of the ages of 100 policy holders are: under 30 – 10, under…In a frequency table the value k occurs exactly k times, for k = 1, 2, 3, …, 20. What is the mean…Sections A, B and C have mean scores 62, 70 and 80. Sections A and B together average 67, section…Meera's average in 5 subjects is 72. Leaving out her highest mark lowers the average by 3; leaving…Seven different positive integers have a mean of 12 and a median of 10. What is the largest…The average weight of A, B and C is 45 kg. When D joins them the average becomes 44 kg. Then E,…What is the range of 34, 19, 52, 27, 45, 61 and 23?A data set consists of the values 7, 7, 7, 7 and 7. What is its standard deviation?Find the variance of 4, 9, 14, 19 and 24 (use n as the divisor).Which of these sets of marks has the greatest range?For a set of incomes the lower quartile is ₹34 thousand and the upper quartile is ₹58 thousand.…A variable x has standard deviation 7. Find the standard deviation of y = 4 − 3x.The box plot summarises the delivery times (in minutes) of food orders from a restaurant in…Find the mean deviation about the mean of 3, 7, 11, 15 and 19.What is the standard deviation of 1, 3, 5 and 7 (use n as the divisor)?Group A has a smallest value of 15 and a range of 20. Group B's values run from 22 to 48. What is…A data set has lower quartile 20 and upper quartile 30. Calculate the coefficient of quartile…The standard deviation of 1, 2, 3, …, 10 is about 2.87. Without recalculating, give the standard…Two machines fill sugar packets. Machine A: mean 500 g, SD 4 g. Machine B: mean 250 g, SD 2.5 g.…The standard deviation of 2, 4, 6, 8 and 10 is 2√2. What is the standard deviation of 15, 19, 23,…
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