Data Interpretation

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

1. Question 1

   1 mark

   A line graph shows temperature: 6am=12°C, noon=28°C, 6pm=22°C. The temperature rise from 6am to noon was:

   A. 12°C

   B. 40°C

   C. 28°C

   D. 16°C

   (1 mark)

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2. Question 2

   1 mark

   A table shows sales: Jan-200, Feb-180, Mar-250, Apr-220. Months with sales above average?

   A. March and April

   B. January and March

   C. All months

   D. Only March

   (1 mark)

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3. Question 3

   1 mark

   From a pie chart: if the sector for 'walking' is 108° out of 200 students, how many walk?

   A. 54

   B. 108

   C. 72

   D. 60

   (1 mark)

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4. Question 4

   3 marks

   From a bar graph: Town A=5,000, B=3,500, C=7,200, D=4,300.

   (a) Total population? (1 mark)

   (b) Difference between largest and smallest? (2 marks)

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5. Question 5

   2 marks

   A pie chart shows subject preferences of 720 students. Mathematics sector = 100°. How many chose Mathematics?

   (2 marks)

   Marking scheme

   A full pie chart is $360^{\circ }$ and represents all $720$ students, so the Mathematics sector is the fraction $\frac{100}{360}$ of the students. (1)

   $\frac{100}{360}\times 720=100\times 2=200$. (1)

   Final answer: $200$ students.

6. Question 6

   1 mark

   In a frequency table, the class 30-39 has 12 items. What is the class width?

   A. 39

   B. 30

   C. 10

   D. 9

   (1 mark)

   Marking scheme

   C. $10$ — class width is the distance across the class, measured between its boundaries $29.5$ and $39.5$, so the width is $10$. D comes from $39-30$, which misses the last value in the class. The frequency of $12$ is not needed.

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