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Statistics — practice questions with answers

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In a survey of 50 families, the number of children per family was: 0 children – 6 families, 1 –…In the distribution x = 10, 20, 30, 40, 50 with frequencies 5, f₁, 10, f₂, 7, the total frequency…Using the assumed-mean method with A = 150, find the mean of: classes 100–120, 120–140, 140–160,…Daily wages of 80 workers: ₹200–250: 8, ₹250–300: 16, ₹300–350: 24, ₹350–400: 20, ₹400–450: 12.…Marks of 40 students: less than 10 – 4, less than 20 – 10, less than 30 – 22, less than 40 – 30,…Find the median of 23, 41, 17, 35, 29, 52, 38, 14, 46.The median of 11, 7, 15, 9, 13, 17, 5 is m. If the value 20 is added to the data, what is the new…What is the median of the first 10 prime numbers?Find the median of the distribution: x = 1, 2, 3, 4, 5, 6 with frequencies 3, 5, 9, 7, 4, 2.Find the median of: x = 20, 25, 30, 35, 40 with frequencies 5, 10, 9, 4, 2.Marks of 25 students: 35 marks – 2, 40 – 5, 45 – 8, 50 – 6, 55 – 3, 60 – 1. What is the median mark?The mean of 9, 11, 13, x, 11, 13, 15, 13 is 12. What is the mode of the data?The median of a data set is 18. Every value is divided by 3 and then 4 is added. What is the new…The mean of x₁, x₂, x₃, x₄, x₅ is 12. What is the mean of x₁ + 4, x₂ + 8, x₃ + 12, x₄ + 16, x₅ + 20?The mean monthly salary of employees in a firm is ₹25,000. Every employee gets a 10% raise and…The largest of 9 observations is increased by 18. Which statement is true?Find the median of: classes 0–10, 10–20, 20–30, 30–40, 40–50 with frequencies 5, 8, 20, 10, 7.Heights (cm) of 50 girls: 150–155: 7, 155–160: 12, 160–165: 18, 165–170: 9, 170–175: 4. Find the…The median of the distribution below is 50. Classes 0–20, 20–40, 40–60, 60–80, 80–100 have…Marks of 60 students: less than 20 – 8, less than 40 – 20, less than 60 – 42, less than 80 – 54,…For the classes 10–20, 20–30, 30–40, 40–50, 50–60 with frequencies 4, 9, 11, 14, 7, which is the…Find the median of: classes 1–10, 11–20, 21–30, 31–40, 41–50 with frequencies 3, 7, 15, 10, 5.Find the mode of: classes 0–10, 10–20, 20–30, 30–40, 40–50 with frequencies 6, 10, 16, 12, 6.Find the mode of: classes 0–5, 5–10, 10–15, 15–20 with frequencies 14, 10, 6, 4.The mode of the distribution below is 24. Classes 0–10, 10–20, 20–30, 30–40, 40–50 have…

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