Data Interpretation

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

1. Question 1

   1 mark

   In a pie chart showing hobbies of 400 children, the sports sector is 108°. How many children chose sports?

   A. 100

   B. 108

   C. 120

   D. 150

   (1 mark)

   Marking scheme

   C. $120$ — a pie chart's whole circle is $360^{\circ }$, so the sector is the fraction $\frac{108}{360}$ of the children: $\frac{108}{360}\times 400=120$. B reads the angle as if it were a count.

2. Question 2

   1 mark

   The scores of 6 students are: 78, 82, 65, 90, 72, 88. What is the range?

   A. 12

   B. 88

   C. 65

   D. 25

   (1 mark)

   Marking scheme

   D. $25$ — the range is the largest minus the smallest: $90-65=25$. B and C give the two values themselves rather than their difference.

3. Question 3

   1 mark

   From a bar graph: Class A=45, B=38, C=52, D=41. What is the total number of students?

   A. 156

   B. 176

   C. 166

   D. 186

   (1 mark)

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4. Question 4

   1 mark

   The masses (kg) of 5 parcels are: 12, 15, 8, 20, 10. What is the total mass?

   A. 55 kg

   B. 75 kg

   C. 60 kg

   D. 65 kg

   (1 mark)

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5. Question 5

   1 mark

   A graph shows that sales increased from 200 in January to 350 in March. By how much did sales increase?

   A. 550

   B. 350

   C. 200

   D. 150

   (1 mark)

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6. Question 6

   1 mark

   A line graph shows temperature at 6am=15°C, 9am=20°C, noon=28°C, 3pm=25°C. At what time was it hottest?

   A. 9 a.m.

   B. 6 a.m.

   C. Noon

   D. 3 p.m.

   (1 mark)

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7. Question 7

   1 mark

   In a table, the values 5, 3, 7, 5, 8, 5, 2 are listed. What is the mode?

   A. 7

   B. 3

   C. 8

   D. 5

   (1 mark)

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