DP Mathematical Studies Questionbank
2.4
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[N/A]Directly related questions
- 11N.2.sl.TZ0.1c: Write down the number of vehicles whose speed is less than or equal to...
- 12M.2.sl.TZ2.3e: The results are represented in the cumulative frequency table below, with upper class boundaries...
- 08N.1.sl.TZ0.3a: Write down the median height of the trees.
- 14M.1.sl.TZ2.5c: Find the interquartile range.
- 17M.1.sl.TZ2.6c.i: Use the graph to find the value of \(k\).
- 17N.1.sl.TZ0.1b: Draw a box-and-whisker diagram, for these students’ ages, on the following grid.
- 18M.1.sl.TZ1.6a: Write down the median.
- 18M.2.sl.TZ2.2e: Find the number of buses that travelled a distance less than or equal to 12 000 km.
- 18M.2.sl.TZ2.2b.i: Use the cumulative frequency curve to find the median distance.
- 11N.2.sl.TZ0.1e: Consider the cumulative frequency table below. Draw a cumulative frequency graph for the...
- 12M.2.sl.TZ2.3f: The results are represented in the cumulative frequency table below, with upper class boundaries...
- 11M.1.sl.TZ1.14d: Estimate the mean weight of the lightest \(40\) males.
- 09M.2.sl.TZ1.1c: 55 % of the men took less than p seconds to perform the task. Find p.
- 13M.1.sl.TZ1.4b: Write down the 75th percentile.
- 13M.1.sl.TZ2.4b: Indicate with a tick () whether the following statements are True or False.
- 08N.1.sl.TZ0.3c: Given that the smallest tree in the wood is \(3{\text{ m}}\) high and the tallest tree is...
- 10N.1.sl.TZ0.5a.ii: Write down the 75th percentile mark.
- 14M.1.sl.TZ2.5a: Write down the median rainfall.
- 15M.2.sl.TZ1.3a: Estimate the minimum possible speed of one of these vehicles passing the hospital gate.
- 17M.1.sl.TZ2.6b: Write down the number of leaves with a length less than or equal to 8 cm.
- 18M.2.sl.TZ2.2c: Hence write down the interquartile range.
- 18M.2.sl.TZ2.2b.iii: Use the cumulative frequency curve to find the upper quartile.
- 10M.1.sl.TZ2.3c: Draw a box and whisker plot on the grid below to represent this information.
- 11N.2.sl.TZ0.1f: Use your cumulative frequency graph to estimate (i) the median speed of the...
- 09N.1.sl.TZ0.5a: Write down the median height of the students.
- 08M.1.sl.TZ2.13b: Find the interquartile range for the length of hair in the sample.
- 13N.1.sl.TZ0.4a: Find the median distance travelled by the cars.
- 14M.1.sl.TZ1.6a: Write down the number of cars passing the camera with speed of less than or equal to 50...
- 14N.1.sl.TZ0.1a: Find (i) the longest amount of time spent on homework per day; (ii) the interquartile...
- 17N.1.sl.TZ0.1a.i: For the students in this group find the mean age;
- 10N.1.sl.TZ0.5a.i: Write down the median mark.
- 10N.1.sl.TZ0.5b: Estimate the number of students who achieved a mark greater than 32.
- 12N.1.sl.TZ0.5c: The top 20 % of the students are eligible for further study. Find the lowest mark required to be...
- 12N.1.sl.TZ0.11d: Find the number of years for which the annual snowfall was at least 18 cm.
- 12M.1.sl.TZ1.5d: Write down the percentage of the data which is less than the upper quartile.
- 09N.1.sl.TZ0.5d: The height of the tallest student is 195 cm and the height of the shortest student is 136...
- 13M.1.sl.TZ1.8c: Estimate the probability that the weight of a randomly chosen female is more than 50 kg.
- 13M.1.sl.TZ1.4c: Find the interquartile range.
- 13M.1.sl.TZ1.8a: Write down the median weight of the females.
- 13M.1.sl.TZ1.8b: Calculate the range.
- 08M.1.sl.TZ2.13a: Write down the median length of hair in the sample.
- 14M.2.sl.TZ2.3d: The information above has been rewritten as a cumulative frequency table. Write down the value...
- 13N.1.sl.TZ0.4c: Find the number of cars that travelled more than \(130\) km.
- 15M.2.sl.TZ1.3b: Find the median speed of the vehicles.
- 15M.2.sl.TZ1.3i: It is proposed that the speed limit past the hospital gate is reduced to...
- 14N.1.sl.TZ0.1b: State the statistical term corresponding to the value of 140 minutes.
- 14N.1.sl.TZ0.1c: Find the percentage of students who spend (i) between 100 and 140 minutes per day on their...
- 16M.1.sl.TZ1.3c: The lowest score was 6 marks and the highest score was 90 marks. Draw a box-and-whisker diagram...
- 16M.1.sl.TZ1.3a: In a school 160 students sat a mathematics examination. Their scores, given as marks out of 90,...
- 18M.1.sl.TZ1.6b: Complete the table.
- 18M.2.sl.TZ2.2d: Write down the percentage of buses that travelled a distance greater than the upper quartile.
- 18M.2.sl.TZ2.2a: Find the number of buses that travelled a distance between 15000 and 20000 kilometres.
- 12N.1.sl.TZ0.5a: Find the number of students who failed the examination.
- 11N.2.sl.TZ0.1g: All drivers whose vehicle’s speed is greater than one standard deviation above the speed limit of...
- 12M.1.sl.TZ1.5b: State what the value of 12 mm represents on the given diagram.
- 12M.1.sl.TZ1.5a: Write down (i) the lowest daily rainfall; (ii) the highest daily rainfall.
- 09N.1.sl.TZ0.5c: Write down the 75th percentile.
- 09M.2.sl.TZ1.1a, i: Use the diagram to estimate the median time.
- 14M.1.sl.TZ2.5b: Write down the minimum rainfall.
- 13N.1.sl.TZ0.4b: Calculate the interquartile range of the distance travelled by the cars.
- 15M.2.sl.TZ1.3d: Calculate the interquartile range.
- 16M.1.sl.TZ1.3b: The lower quartile of these scores is 40. Find the interquartile range.
- 17M.1.sl.TZ2.6a: Write down the median length of these leaves.
- 18M.1.sl.TZ1.6c.ii: Using the table, calculate an estimate for the mean number of people being followed on the social...
- 18M.1.sl.TZ1.6c.i: Write down the mid-interval value for the 100 < x ≤ 150 group.
- 18M.2.sl.TZ2.2g: The smallest distance travelled by one of the buses was 2500 km.The longest distance travelled by...
- 11N.2.sl.TZ0.1d: Consider the cumulative frequency table below. Write down the value of \(a\) , of \(b\) and of...
- 12M.1.sl.TZ1.5c: Find the interquartile range.
- 11M.1.sl.TZ1.14c: Estimate the number of males who weigh between \(61\) kg and \(66\) kg.
- 11M.1.sl.TZ1.14a: Write down the median weight of the males.
- 09M.2.sl.TZ1.1b: Find the number of men who take more than 11 seconds to perform the task.
- 13M.1.sl.TZ1.4d: Estimate the number of trees that are more than 40 cm in height.
- 13M.1.sl.TZ1.8d: Use the box and whisker diagram to determine if the mean weight of the females is less than the...
- 08M.1.sl.TZ1.2c: Given that the youngest teacher is \(21\) years old and the oldest is \(72\) years old, represent...
- 10N.1.sl.TZ0.5a.iii: Write down the range of marks.
- 14M.2.sl.TZ2.3e: This information is shown in the following cumulative frequency graph. For the people who were...
- 15M.2.sl.TZ1.3c: Write down the \({75^{{\text{th}}}}\) percentile.
- 09M.2.sl.TZ1.1a, ii: Use the diagram to estimate the upper quartile and the lower quartile.
- 16N.1.sl.TZ0.2b: Draw a box-and-whisker diagram on the grid below to represent the Vitamin C content, in...
- 17M.1.sl.TZ2.6c.ii: Before measuring, the researcher estimated \(k\) to be approximately 9.5 cm. Find the percentage...
- 17N.1.sl.TZ0.1a.ii: For the students in this group write down the median age.
- 10M.1.sl.TZ1.9a: Complete the grouped frequency table for the students.
- 09N.1.sl.TZ0.5b: Write down the 25th percentile.
- 13M.1.sl.TZ1.4a: Write down the median height of the trees.
- 07M.1.sl.TZ0.2b: The boxplot below shows the statistics for a set of data. For this data set write down the...
- 08N.1.sl.TZ0.3b: Calculate the interquartile range of the heights of the trees.
- 08M.1.sl.TZ2.13c: Given that the shortest length was \(6{\text{ cm}}\) and the longest \(47{\text{ cm}}\), draw and...
- 15M.1.sl.TZ2.4b: Draw a box-and-whisker diagram for these results on the following grid.
- 15M.2.sl.TZ1.3e: The speed limit past the hospital gate is \(50{\text{ km}}\,{{\text{h}}^{ - 1}}\). Find the...
- 16N.1.sl.TZ0.2a: Giving your answer to one decimal place, write down the value of (i) the median level of...
- 18M.2.sl.TZ2.2b.ii: Use the cumulative frequency curve to find the lower quartile.
- 10M.1.sl.TZ2.3a: Write down the median waiting time.
- 12N.1.sl.TZ0.5b: Find the number of students who were awarded grade C or better.
- 12M.2.sl.TZ2.3g: Use your graph from part (f) to estimate (i) the median; (ii) the 90th percentile of the...
- 11M.1.sl.TZ1.14b: Calculate the interquartile range.
- 13M.1.sl.TZ2.4a: Write down the value of (i) t ; (ii) w .
- SPM.2.sl.TZ0.1d: Draw a box and whisker diagram for this data, on graph paper, using a scale of \(1{\text{ cm}}\)...
- 14M.1.sl.TZ2.5d: Write down the number of days the rainfall will be (i) between 43 mm and 48 mm; (ii) ...
- 15M.1.sl.TZ2.4c: The results for the second group of 40 students are shown in the following box-and-whisker...
- 18M.2.sl.TZ2.2f: Find the value of m.
Sub sections and their related questions
Cumulative frequency tables for grouped discrete data and for grouped continuous data; cumulative frequency curves, median and quartiles
- 10M.1.sl.TZ1.9a: Complete the grouped frequency table for the students.
- 10M.1.sl.TZ2.3a: Write down the median waiting time.
- 12N.1.sl.TZ0.5a: Find the number of students who failed the examination.
- 12N.1.sl.TZ0.5b: Find the number of students who were awarded grade C or better.
- 12N.1.sl.TZ0.5c: The top 20 % of the students are eligible for further study. Find the lowest mark required to be...
- 11N.2.sl.TZ0.1c: Write down the number of vehicles whose speed is less than or equal to...
- 11N.2.sl.TZ0.1d: Consider the cumulative frequency table below. Write down the value of \(a\) , of \(b\) and of...
- 11N.2.sl.TZ0.1e: Consider the cumulative frequency table below. Draw a cumulative frequency graph for the...
- 11N.2.sl.TZ0.1f: Use your cumulative frequency graph to estimate (i) the median speed of the...
- 12N.1.sl.TZ0.11d: Find the number of years for which the annual snowfall was at least 18 cm.
- 11N.2.sl.TZ0.1g: All drivers whose vehicle’s speed is greater than one standard deviation above the speed limit of...
- 12M.2.sl.TZ2.3e: The results are represented in the cumulative frequency table below, with upper class boundaries...
- 12M.2.sl.TZ2.3f: The results are represented in the cumulative frequency table below, with upper class boundaries...
- 12M.2.sl.TZ2.3g: Use your graph from part (f) to estimate (i) the median; (ii) the 90th percentile of the...
- 09N.1.sl.TZ0.5a: Write down the median height of the students.
- 09N.1.sl.TZ0.5b: Write down the 25th percentile.
- 09N.1.sl.TZ0.5c: Write down the 75th percentile.
- 09M.2.sl.TZ1.1a, i: Use the diagram to estimate the median time.
- 09M.2.sl.TZ1.1b: Find the number of men who take more than 11 seconds to perform the task.
- 09M.2.sl.TZ1.1c: 55 % of the men took less than p seconds to perform the task. Find p.
- 13M.1.sl.TZ2.4b: Indicate with a tick () whether the following statements are True or False.
- 13M.1.sl.TZ1.4a: Write down the median height of the trees.
- 13M.1.sl.TZ1.4b: Write down the 75th percentile.
- 13M.1.sl.TZ1.4c: Find the interquartile range.
- 13M.1.sl.TZ1.4d: Estimate the number of trees that are more than 40 cm in height.
- 13M.1.sl.TZ2.4a: Write down the value of (i) t ; (ii) w .
- 08N.1.sl.TZ0.3a: Write down the median height of the trees.
- 08N.1.sl.TZ0.3b: Calculate the interquartile range of the heights of the trees.
- 08M.1.sl.TZ2.13a: Write down the median length of hair in the sample.
- 08M.1.sl.TZ2.13b: Find the interquartile range for the length of hair in the sample.
- 09M.2.sl.TZ1.1a, ii: Use the diagram to estimate the upper quartile and the lower quartile.
- 14M.2.sl.TZ2.3d: The information above has been rewritten as a cumulative frequency table. Write down the value...
- 14M.2.sl.TZ2.3e: This information is shown in the following cumulative frequency graph. For the people who were...
- 13N.1.sl.TZ0.4a: Find the median distance travelled by the cars.
- 13N.1.sl.TZ0.4b: Calculate the interquartile range of the distance travelled by the cars.
- 13N.1.sl.TZ0.4c: Find the number of cars that travelled more than \(130\) km.
- 14M.1.sl.TZ1.6a: Write down the number of cars passing the camera with speed of less than or equal to 50...
- 14N.1.sl.TZ0.1c: Find the percentage of students who spend (i) between 100 and 140 minutes per day on their...
- 15M.2.sl.TZ1.3a: Estimate the minimum possible speed of one of these vehicles passing the hospital gate.
- 15M.2.sl.TZ1.3b: Find the median speed of the vehicles.
- 15M.2.sl.TZ1.3c: Write down the \({75^{{\text{th}}}}\) percentile.
- 15M.2.sl.TZ1.3d: Calculate the interquartile range.
- 15M.2.sl.TZ1.3e: The speed limit past the hospital gate is \(50{\text{ km}}\,{{\text{h}}^{ - 1}}\). Find the...
- 15M.2.sl.TZ1.3i: It is proposed that the speed limit past the hospital gate is reduced to...
- 17N.1.sl.TZ0.1a.i: For the students in this group find the mean age;
- 17N.1.sl.TZ0.1a.ii: For the students in this group write down the median age.
- 17N.1.sl.TZ0.1b: Draw a box-and-whisker diagram, for these students’ ages, on the following grid.
- 18M.2.sl.TZ2.2a: Find the number of buses that travelled a distance between 15000 and 20000 kilometres.
- 18M.2.sl.TZ2.2b.i: Use the cumulative frequency curve to find the median distance.
- 18M.2.sl.TZ2.2b.ii: Use the cumulative frequency curve to find the lower quartile.
- 18M.2.sl.TZ2.2b.iii: Use the cumulative frequency curve to find the upper quartile.
- 18M.2.sl.TZ2.2c: Hence write down the interquartile range.
- 18M.2.sl.TZ2.2d: Write down the percentage of buses that travelled a distance greater than the upper quartile.
- 18M.2.sl.TZ2.2e: Find the number of buses that travelled a distance less than or equal to 12 000 km.
- 18M.2.sl.TZ2.2f: Find the value of m.
- 18M.2.sl.TZ2.2g: The smallest distance travelled by one of the buses was 2500 km.The longest distance travelled by...
Box-and-whisker diagram.
- 10M.1.sl.TZ2.3c: Draw a box and whisker plot on the grid below to represent this information.
- 10N.1.sl.TZ0.5a.i: Write down the median mark.
- 10N.1.sl.TZ0.5b: Estimate the number of students who achieved a mark greater than 32.
- 12M.1.sl.TZ1.5a: Write down (i) the lowest daily rainfall; (ii) the highest daily rainfall.
- 12M.1.sl.TZ1.5b: State what the value of 12 mm represents on the given diagram.
- 12M.1.sl.TZ1.5c: Find the interquartile range.
- 12M.1.sl.TZ1.5d: Write down the percentage of the data which is less than the upper quartile.
- 09N.1.sl.TZ0.5d: The height of the tallest student is 195 cm and the height of the shortest student is 136...
- 11M.1.sl.TZ1.14a: Write down the median weight of the males.
- 11M.1.sl.TZ1.14b: Calculate the interquartile range.
- 11M.1.sl.TZ1.14c: Estimate the number of males who weigh between \(61\) kg and \(66\) kg.
- 11M.1.sl.TZ1.14d: Estimate the mean weight of the lightest \(40\) males.
- 07M.1.sl.TZ0.2b: The boxplot below shows the statistics for a set of data. For this data set write down the...
- 13M.1.sl.TZ1.8a: Write down the median weight of the females.
- 13M.1.sl.TZ1.8b: Calculate the range.
- 13M.1.sl.TZ1.8c: Estimate the probability that the weight of a randomly chosen female is more than 50 kg.
- 13M.1.sl.TZ1.8d: Use the box and whisker diagram to determine if the mean weight of the females is less than the...
- SPM.2.sl.TZ0.1d: Draw a box and whisker diagram for this data, on graph paper, using a scale of \(1{\text{ cm}}\)...
- 08N.1.sl.TZ0.3c: Given that the smallest tree in the wood is \(3{\text{ m}}\) high and the tallest tree is...
- 08M.1.sl.TZ1.2c: Given that the youngest teacher is \(21\) years old and the oldest is \(72\) years old, represent...
- 08M.1.sl.TZ2.13c: Given that the shortest length was \(6{\text{ cm}}\) and the longest \(47{\text{ cm}}\), draw and...
- 10N.1.sl.TZ0.5a.ii: Write down the 75th percentile mark.
- 10N.1.sl.TZ0.5a.iii: Write down the range of marks.
- 14M.1.sl.TZ2.5a: Write down the median rainfall.
- 14M.1.sl.TZ2.5b: Write down the minimum rainfall.
- 14M.1.sl.TZ2.5c: Find the interquartile range.
- 14M.1.sl.TZ2.5d: Write down the number of days the rainfall will be (i) between 43 mm and 48 mm; (ii) ...
- 14N.1.sl.TZ0.1a: Find (i) the longest amount of time spent on homework per day; (ii) the interquartile...
- 14N.1.sl.TZ0.1b: State the statistical term corresponding to the value of 140 minutes.
- 14N.1.sl.TZ0.1c: Find the percentage of students who spend (i) between 100 and 140 minutes per day on their...
- 15M.1.sl.TZ2.4b: Draw a box-and-whisker diagram for these results on the following grid.
- 15M.1.sl.TZ2.4c: The results for the second group of 40 students are shown in the following box-and-whisker...
- 16M.1.sl.TZ1.3c: The lowest score was 6 marks and the highest score was 90 marks. Draw a box-and-whisker diagram...
- 17N.1.sl.TZ0.1a.i: For the students in this group find the mean age;
- 17N.1.sl.TZ0.1a.ii: For the students in this group write down the median age.
- 17N.1.sl.TZ0.1b: Draw a box-and-whisker diagram, for these students’ ages, on the following grid.
- 18M.2.sl.TZ2.2a: Find the number of buses that travelled a distance between 15000 and 20000 kilometres.
- 18M.2.sl.TZ2.2b.i: Use the cumulative frequency curve to find the median distance.
- 18M.2.sl.TZ2.2b.ii: Use the cumulative frequency curve to find the lower quartile.
- 18M.2.sl.TZ2.2b.iii: Use the cumulative frequency curve to find the upper quartile.
- 18M.2.sl.TZ2.2c: Hence write down the interquartile range.
- 18M.2.sl.TZ2.2d: Write down the percentage of buses that travelled a distance greater than the upper quartile.
- 18M.2.sl.TZ2.2e: Find the number of buses that travelled a distance less than or equal to 12 000 km.
- 18M.2.sl.TZ2.2f: Find the value of m.
- 18M.2.sl.TZ2.2g: The smallest distance travelled by one of the buses was 2500 km.The longest distance travelled by...
