IB myp 4-5 MATHEMATICS – Practice Questions- All Topics
Topic :Static and Probability–Graphical representations
Topic :Static and Probability- Weightage : 21 %
All Questions for Topic : Sampling techniques,Data manipulation and misinterpretation,Graphical representations (including: bivariate graphs, scatter graphs, box plots, cumulative frequency graphs)
,Lines of best fit,Data processing: quartiles and percentiles,Measures of dispersion: interquartile range,Correlation, qualitative handling,Relative frequency,Response rates,Sets, including notation and operations up to three sets,Probability with Venn diagrams, tree diagrams and sample spaces,Mutually exclusive events,Combined events
Question (19 marks)
Many efforts have been made through the years to put into action solutions to resolve the problem of exposure to particulate matter in order to reach a globally agreed goal. In this question, you will make calculations and analyse exposure to particulate matter over a period of time.
Question (a) : 2 marks
Annual exposure to particulate matter across Europe in 1990 .
To visualize the level of exposure across Europe in 1990, use the table to construct a histogram.
Particulate matter for 1990
▶️Answer/Explanation
Ans:
To construct a histogram representing the level of exposure to particulate matter across Europe in 1990, we can use the given table. The x-axis will represent the different ranges of exposure, and the y-axis will represent the number of European countries falling into each range.
Here is the histogram:
In this histogram, the x’s represent the number of European countries falling into each range of exposure to particulate matter. The ranges are displayed on the x-axis, and the corresponding numbers of countries are shown on the y-axis.
Question (b) : 1 marks
Below is the histogram for the annual exposure to particulate matter across Europe in 2016.
Particulate matter for 2016
In comparison with your histogram in part (a), state one difference between annual exposure to particulate matter in 1990 and 2016.
▶️Answer/Explanation
Ans:
- in 1990, 3 countries had E between 0 and 10 while in 2016 there are 8
- Highest in 1990 is 17 while highest in 2016 is 24