∑ DANEMATHICS
FREE CAPS MATHS RESOURCES
Grade 9 · Data Handling
Collect, Organise & Summarise Data (Grade 9)
EXAM-STYLE CLASS TEST
Marks
34
Duration
55 minutes
Questions
3
Name:
Class:
Date:
Mark
/ 34
Instructions and Information
- Answer ALL the questions in this question paper.
- Answer QUESTION 1 by circling the letter (A–D) in the answer grid at the end of that section.
- Show ALL calculations clearly.
- Show all units where applicable.
- Number the answers correctly according to the numbering system used in this question paper.
- A non-programmable calculator may be used, unless stated otherwise.
- Write neatly and legibly.
Question 1
[10 MARKS]Four options are given as possible answers to the following questions. Choose the correct answer and circle the letter (A–D) in the grid at the end of this section. If you want to change your choice, put a cross through the wrong letter and circle your new choice.
- 1.1Which one of the following is DISCRETE data?(1)A)the mass of a parcelB)the number of learners in a classC)the time taken to run 100 mD)the height of a tree
- 1.2In a histogram, the bars …(1)A)have gaps between themB)TOUCH each otherC)are all the same heightD)are drawn horizontally
- 1.3The MODAL CLASS of a grouped frequency table is the class with …(1)A)the largest valuesB)the highest FREQUENCYC)the middle positionD)the widest interval
- 1.4Salaries are 8 000 ; 9 000 ; 9 500 ; 10 000 ; 120 000. The best measure of the TYPICAL salary is the …(1)A)meanB)medianC)rangeD)mode
- 1.5For the data 4 ; 7 ; 7 ; 9 ; 13, the MEAN is …(1)A)7B)8C)9D)13
- 1.6For the same data, the MEDIAN is …(1)A)8B)7C)9D)6,5
- 1.7A sample is chosen so that every member of the population has an equal chance. That sample is …(1)A)biasedB)randomC)groupedD)continuous
- 1.8Adding an OUTLIER far above the rest of the data will …(1)A)not change the meanB)raise the mean much more than the medianC)raise the median much more than the meanD)change neither
- 1.9In a survey of 26 learners, the frequencies of a table must add up to …(1)A)the number of classesB)26C)the largest frequencyD)100
- 1.10Which question is LEAST likely to produce biased answers?(1)A)Don't you agree that maths is the best subject?B)Which subject do you enjoy most?C)Why is maths better than art?D)Do you dislike art as much as I do?
Answer grid — circle your answers for Question 1
| 1.1 | A | B | C | D |
| 1.2 | A | B | C | D |
| 1.3 | A | B | C | D |
| 1.4 | A | B | C | D |
| 1.5 | A | B | C | D |
| 1.6 | A | B | C | D |
| 1.7 | A | B | C | D |
| 1.8 | A | B | C | D |
| 1.9 | A | B | C | D |
| 1.10 | A | B | C | D |
Question 2
[14 MARKS]The histogram below shows the amount of airtime, in rand, used in one month by each of 40 learners.
- 2.1Write down the modal class and explain what it tells you.(3)
- 2.2How many learners used less than R20? Express this as a percentage of the group.(4)
- 2.3Use the midpoints of the intervals to calculate an ESTIMATE of the mean amount of airtime used.(5)
- 2.4Explain why this answer is only an ESTIMATE of the mean.(2)
Question 3
[10 MARKS]A school wants to find out how far its learners travel to school each day.
- 3.1The principal asks only the learners who arrive by bus. Explain why this sample is biased and how it will distort the answer.(4)
- 3.2Describe a better sampling method, and say why it is better.(3)
- 3.3The distances are to be grouped into intervals. Explain why the intervals 0–10, 10–20, 20–30 would be a poor choice.(3)
TOTAL: 34 marks
This question paper consists of 3 questions.