Statistics — practice questions, page 4
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The histogram shows how long 40 commuters take to reach an office in Gurugram. Using the…Find the median of the distribution: classes 20–30, 30–40, 40–50, 50–60, 60–70 with frequencies 6,…In a scholarship test, Reasoning carries weight 3, Maths weight 4 and English weight 3. Kunal…The data 2, 4, 4, 5, 7, 7, 7, 9, x has a mean of 6 and its mode is 7. What is x?Six boxes in a godown have a mean weight of 48 kg. One box is swapped for a new box weighing 31…A clerk found the mean of 30 test scores to be 62. Later it came out that one score of 75 had been…Twenty-one different observations have a median of 34. Every observation larger than the median is…Ravi's mean score over his first 6 unit tests was 72. After the 7th and 8th tests his mean became…The seven values 12, 15, 15, 18, 21, 24 and x have the same mean, median and mode. What is x?Ten batters of a club side scored 45, 12, 0, 78, 23, 5, 31, 64, 9 and 17 runs in an innings. By…For a moderately skewed distribution the mode is 40, and the mean is 3 more than the median. What…In an arithmetic progression, the average of the first 8 terms is 19 and the average of the first…Eleven numbers have a mean of 50. The mean of the first six is 49 and the mean of the last six is…The mean of the squares of the first n natural numbers is 63. What is n?Two numbers have an arithmetic mean of 25 and a geometric mean of 15. What is the larger number?Shreya logged her weekly running distance for 10 weeks; the mean was 18 km. When she leaves out…Five positive integers have a mean of 18 and a median of 20, and 22 is their only mode. What is…Five positive integers have a mean of 10 and a median of 12, and their only mode is 15. What is…For the values x = 5, 10, 15, 20, 25 with frequencies 4, 9, f, 5, 3, the median is 15. What is the…Rohit found the mean of 20 numbers to be 32. He then noticed that he had copied one number as 72…Two numbers have an arithmetic mean of 13 and a harmonic mean of 111/13. What is the difference…The average of 7 consecutive even numbers is A. If the next 5 consecutive even numbers are also…In a frequency table with equal classes of width 5, one class has class mark 27.5. What is the…Classes 0–10, 10–20, 20–30 and 30–40 have frequencies 3, 7, 12 and 8. What is the cumulative…The marks in a quiz are grouped in inclusive classes 0–9, 10–19, 20–29 and so on. What is the true…
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