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Class 10 Maths — Statistics of grouped data

Find the mean, median and mode of grouped data, and read a cumulative frequency curve.

Name: ________________________

  1. 1.What is the class mark of the class 40–70?

  2. 2.Which average of grouped data can be read straight off an ogive?

    • a) The mode
    • b) The mean
    • c) The median
    • d) The range

  3. 3.A less-than ogive is drawn for 50 observations. At what cumulative frequency do you read across the curve to find the median?

  4. 4.A grouped table has the classes 0–10, 10–20 and 20–30 with frequencies 3, 5 and 2. What is the mean, using class marks?

  5. 5.A grouped table has the classes 0–10, 10–20, 20–30 and 30–40 with frequencies 2, 4, 3 and 1. What is the cumulative frequency up to 20?

  6. 6.A grouped table has the classes 0–10, 10–20, 20–30 and 30–40 with frequencies 2, 4, 3 and 1. Which class has the highest frequency? Give its lower limit.

  7. 7.Match each class to its class mark.

    • 0–10
    • 20–40
    • 25–45
    • 50–70
    • 35
    • 30
    • 5
    • 60

  8. 8.A grouped table has the classes 0–10, 10–20, 20–30 and 30–40 with frequencies 2, 4, 3 and 1. What is the total frequency?

Answer key — Class 10 Maths — Statistics of grouped data

  1. 1. 55
  2. 2. c) The median
  3. 3. 25
  4. 4. 14
  5. 5. 6
  6. 6. 10
  7. 7. 0–10 → 5; 20–40 → 30; 25–45 → 35; 50–70 → 60
  8. 8. 10