Data Handling · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
1. What is the name for information collected for a definite purpose, such as the marks of students in a test?
- AData
- BGraph
- CAverage
- DRange
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Answer: A) Data
Information collected for a definite purpose, in the form of numbers or facts, is called data.
2. Which is the most convenient way to organise a large mass of numerical data so that it is easy to count?
- AA frequency distribution table
- BA single sentence
- CA paragraph
- DA list of names
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Answer: A) A frequency distribution table
A frequency distribution table records each value (or class) with its frequency, making large data easy to read and count.
4. A grouped table uses classes of equal size. The class mark of the first class is 8 and of the second class is 14.
What is the lower limit of the first class?
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Answer: D) 5
Class size = 14 - 8 = 6. Lower limit of first class = class mark - size/2 = 8 - 3 = 5.
5. A grouped frequency table of 50 readings has classes 0-10, 10-20, 20-30, 30-40, 40-50 with frequencies 5, a, 14, b, 7. The frequency of the class 10-20 is twice that of the class 30-40.
Find the frequency a of the class 10-20.
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Answer: B) 16
Total = 50, so 5 + a + 14 + b + 7 = 50, giving a + b = 24. Since a = 2b, we get 2b + b = 24, so 3b = 24, b = 8 and a = 2b = 16.