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Data Handling and Representation

Data Handling and Representation — Free MYP2 Mathematics Practice Questions

1QuestionCreating Frequency Tables from Raw DataConcept Practice
2 marks~3 minCriterion B
A reading club records the number of books read each week.

Week 1: 33 books
Week 2: 55 books
Week 3: 77 books
Week 4: 99 books
a
Identify the pattern in the number of books read each week. [1]
b
State the number of books that will be read in Week 5, and write the rule that describes the pattern. [1]

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2QuestionReading and Interpreting Frequency DataConcept Practice
2 marks~3 minCriterion A
The frequency table below shows the favourite fruits of MYP 2 students.

FruitAppleBananaCherryDate
Frequency8965
a
Identify the fruit with the highest frequency. [1]
b
State the mode of this data set and explain what it tells you about the students' preferences. [1]
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3QuestionConstructing Pie Charts with a ProtractorConcept Practice
2 marks~3 minCriterion A
A survey asked 100 students to name their favourite fruit. The results are shown in a pie chart. The sector for apples represents 25% of the students.
a
State the total number of degrees in a full circle. [1]
b
Calculate the angle of the sector for apples. Show your working. [1]
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4QuestionComparing Data Sets Using Dot PlotsConcept Practice
2 marks~3 minCriterion A
The dot plot below shows the test scores for Class A and Class B.

Class A — Score (marks): 4,5,6,7,8,9,104, 5, 6, 7, 8, 9, 10 — Number of students: 1,2,3,5,4,2,11, 2, 3, 5, 4, 2, 1

Class B — Score (marks): 4,5,6,7,8,9,104, 5, 6, 7, 8, 9, 10 — Number of students: 2,1,4,3,5,2,02, 1, 4, 3, 5, 2, 0
a
State the number of students in Class A who scored exactly 88 marks. [1]
b
Compare the most common score (the mode) for Class A with the most common score for Class B. [1]
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5QuestionJustifying Graph Choices in ReportsConcept Practice
2 marks~3 minCriterion B
The table below shows hours studied and test scores for five students.

Hours studied12345
Test score (%)4555657585
a
Identify the pattern in the test scores as hours studied increase. [1]
b
Explain why a line graph is a better choice than a bar chart to display this data. [1]

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6QuestionUsing Visual Aids for Data PresentationConcept Practice
2 marks~3 minCriterion A
The bar chart shows the number of books read by four students in one month.

Alice: 55 books, Ben: 88 books, Clara: 33 books, David: 66 books
a
Identify the student who read the most books. [1]
b
Explain how the bar chart shows that this student read more books than the others. [1]
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7QuestionComparing Discrete and Continuous GraphsConcept Practice
2 marks~3 minCriterion A
Look at the two graphs below.

Graph A: A bar chart showing the number of pets owned by each student in a class.
Graph B: A line graph showing the temperature (°C) recorded every hour throughout one day.
a
Identify which graph shows discrete data and which shows continuous data. [1]
b
Explain one reason why Graph B is represented as a line graph rather than a bar chart. [1]
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8QuestionChoosing Appropriate Data Collection MethodsConcept Practice
2 marks~3 minCriterion A
The diagram below shows four labeled items in a classroom.

Items:
1. Desk height (measured in cm)
2. Number of students in each row
3. Shoe sizes of students
4. Temperature inside the classroom (measured in °C)
a
Identify whether each item produces discrete or continuous data. [1]
b
State one suitable method for collecting the data for each item. [1]
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9QuestionCreating Frequency Tables from Raw DataAssessment Practice
5 marks~8 minCriterion C
A teacher recorded the scores of 20 students on a quiz marked out of 10:

8, 6, 7, 5, 9, 7, 6, 8, 7, 4, 6, 7, 8, 5, 7, 6, 9, 7, 5, 8

A student claims: "The mode is 7 and the median is 6."
a
State the frequency of each score by completing a frequency table. [1]
b
Calculate the mode and the median of the scores. [2]
c
Compare the student's claim with your results and explain whether the claim is correct. [2]

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10QuestionReading and Interpreting Frequency DataAssessment Practice
4 marks~6 minCriterion D
A school cafeteria recorded the lunch choices of 120 students over one week.

Lunch choicePizzaBurgerSaladPasta
Frequency40302030


The cafeteria manager predicts that exactly 40 students will choose pizza every day next month.
a
State what fraction of students chose pizza. [1]
b
Explain one reason why one week of data may not give a reliable prediction for next month. [1]
c
Compare the manager's prediction of "exactly 40" with a more suitable prediction. Explain which is better and why. [2]
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11QuestionPlotting and Analyzing Line GraphsAssessment Practice
6 marks~9 minCriterion B
The table below shows the distance (km) travelled by four objects over time (hours).

Object A(00)(12)(24)(36)
Object B(01)(13)(25)(37)
Object C(00)(11)(24)(39)
Object D(02)(14)(26)(38)


Plot all four objects on one line graph with time on the xx-axis and distance on the yy-axis.
a
Calculate the slope of each object's line. [2]
b
Each object follows a rule of the form distance=m×time+c\text{distance} = m \times \text{time} + c, where mm is a number called the coefficient. Explain how the coefficient mm relates to the slope you found in part (a). [2]
c
Object E follows the rule distance=5×time+3\text{distance} = 5 \times \text{time} + 3. Compare Object E's line with Object A's line, referring to both slope and starting point. [2]
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12QuestionChoosing the Right Graph for the DataAssessment Practice
6 marks~9 minCriterion C
A school cafeteria records lunch sales for one day:

Pizza: 40% | Burgers: 25% | Salads: 20% | Pasta: 15%

A student displays this data as a line graph, with food items on the x-axis and percentage of sales on the y-axis. The student claims the graph shows sales are "trending downward."
a
State whether the data is categorical or numerical. [1]
b
Identify a more suitable graph type and explain why it is better suited to this data than a line graph. [3]
c
Explain why the student's claim about a "downward trend" is misleading. [2]
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13QuestionConstructing Pie Charts with a ProtractorAssessment Practice
8 marks~12 minCriterion D
A school canteen manager surveys 120 students about their lunch preferences.

Pizza: 48 students
Burgers: 36 students
Salads: 24 students
Wraps: 12 students

The manager draws a pie chart using a protractor, which may introduce a measurement error of ±2° per sector.
a
Calculate the sector angle for each lunch category. Show your working. [2]
b
The Pizza sector is drawn as 146° instead of 144°. Describe how this error affects the appearance of the pie chart and what the school board might incorrectly conclude. [2]
c
Compare a manually drawn pie chart with a bar chart as tools for making food-ordering decisions. In your answer, consider how a sector error affects the rest of the chart, and which display more clearly shows the actual number of students. [4]
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14QuestionPlotting Dot Plots from Small Data SetsAssessment Practice
6 marks~9 minCriterion B
The table below shows the number of books read by students in one month.

Set A344555667
Set B123344456
Set C223334458
Set D112223345
a
Plot a dot plot for Set A and Set D on a number line from 1 to 9. [2]
b
Describe how the spread and clustering of dots differ between Set A and Set D. [2]
c
Compare all four dot plots. Explain how the position of the mode affects whether a dot plot is symmetric (balanced on both sides) or skewed (a longer tail on one side). Use at least two data sets as examples. [2]
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15QuestionComparing Data Sets Using Dot PlotsAssessment Practice
3 marks~5 minCriterion C
The dot plots below show quiz scores (out of 10) for two MYP 2 classes.

Class A: Score 2 (1 dot), Score 6 (3 dots), Score 7 (4 dots), Score 8 (2 dots)

Class B: Score 3 (1 dot), Score 4 (2 dots), Score 5 (2 dots), Score 6 (3 dots), Score 7 (2 dots), Score 8 (1 dot), Score 9 (1 dot)
a
Identify which class has the greater range of scores. [1]
b
Describe the clustering (grouping) of scores in Class A and explain what this tells you about that class's performance. [1]
c
A new Class C is expected to follow the same pattern as Class A. Compare where most scores in Class C would fall with where most scores in Class B fall, and justify your answer. [1]
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16QuestionComparing Data Sets Using Dot PlotsAssessment Practice
2 marks~3 minCriterion D
A school nurse records student absences for two classes. Class A has a narrow spread (0–2 days absent); Class B has a wider spread (0–8 days absent). Both classes have a similar average number of absences.

Explain why the school should compare the spread of absences, not just the average, when deciding whether to introduce a health campaign. [2]
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17QuestionAvoiding Misleading GraphsAssessment Practice
4 marks~6 minCriterion D
Two bar charts show the same monthly sales data (in dollars) for a small business from January to April.

Chart A: y-axis from 00 to 10001000
Chart B: y-axis from 300300 to 700700

Sales data (both charts): January: 400, February: 500, March: 600, April: 700
a
Identify one difference in the y-axis scaling between Chart A and Chart B. [1]
b
Calculate the visual bar heights for January and April in Chart B, then find the visual ratio of April to January. [2]
c
Compare the visual ratio from Chart B with the actual sales ratio 700400\dfrac{700}{400}, and explain why Chart B may mislead a reader. [1]
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18QuestionJustifying Graph Choices in ReportsAssessment Practice
5 marks~8 minCriterion C
The table below shows daily screen time and sleep hours for 12 MYP 2 students.

Screen time (h)2345566778910
Sleep (h)988776765544


Two graphs of this data are drawn: a scatter plot with screen time on the x-axis and sleep hours on the y-axis, and a bar chart with each student as a separate bar showing their sleep hours.
a
Identify the two variables being compared in this data set. [1]
b
Explain why the scatter plot is an appropriate graph for displaying this data. [2]
c
Compare the scatter plot and the bar chart. Explain why the bar chart is a less appropriate choice for showing the relationship between screen time and sleep hours. [2]
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19QuestionChoosing Appropriate Data Collection MethodsAssessment Practice
4 marks~6 minCriterion D
A student council sends an online survey about school week preferences. The survey link is active for one Tuesday only, during school hours.
a
Identify one group of students who would be excluded from this survey. [1]
b
Explain how excluding this group could make the survey results biased. [2]
c
Suggest and justify one improvement to make the survey more representative. [1]
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20QuestionComparing Discrete and Continuous GraphsAssessment Practice
6 marks~9 minCriterion C
A shop records ice cream cone sales and the temperature at 2:00 PM each day for one week.

Bar chart (cones sold): Mon 12, Tue 18, Wed 15, Thu 22, Fri 30, Sat 45, Sun 38

Line graph (temperature °C): Mon 22, Tue 25, Wed 24, Thu 26, Fri 28, Sat 32, Sun 30
a
State the temperature recorded at 2:00 PM on Saturday. [1]
b
Calculate the total number of cones sold from Thursday to Sunday. Show your working. [2]
c
Compare the two graphs. Explain which type of graph is more suitable for displaying each set of data, and why. [3]
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