Data Representation

6 Grade 7 Mathematics questions on Data Representation, with worked marking schemes. 6 questions are available on this topic in full.

1. Question 1

   1 mark

   A histogram has no spaces between bars because:

   A. Data is continuous

   B. Bars overlap

   C. Data is discrete

   D. It looks better

   (1 mark)

   Marking scheme

   A. Data is continuous — a histogram's bars touch because the classes run into one another with no gap in the values. Bar charts leave gaps precisely because their categories are separate.

2. Question 2

   3 marks

   A bar graph shows: Term 1=450, Term 2=380, Term 3=520. Find the mean and the range.

   (3 marks)

   Marking scheme

   The mean is the total divided by the number of terms: $450+380+520=1,350$. (1)

   There are $3$ terms, so the mean is $\frac{1,350}{3}=450$. (1)

   The range is the largest value minus the smallest: $520-380=140$. (1)

   Final answer: the mean is $450$ and the range is $140$.

3. Question 3

   1 mark

   A frequency polygon is drawn using:

   A. Frequencies only

   B. Upper boundaries

   C. Lower boundaries

   D. Midpoints of class intervals

   (1 mark)

   Marking scheme for this question

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4. Question 4

   1 mark

   In a pie chart of 600 items, how many degrees represent 150 items?

   A. 60°

   B. 120°

   C. 90°

   D. 45°

   (1 mark)

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5. Question 5

   4 marks

   Draw a pie chart for: Football=120, Netball=80, Athletics=40, Swimming=60. (Total = 300)

   Calculate the angle for each sport.

   (4 marks)

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6. Question 6

   1 mark

   In a pie chart, 120° represents 80 students. How many does 360° represent?

   A. 240

   B. 120

   C. 360

   D. 200

   (1 mark)

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