AQA · Mathematics · 8300
GCSE Maths: Graphs: box plots- draw\interpret
Statistics · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise, practice questions and answers for Graphs: box plots- draw\interpret (Corbettmaths Video 149), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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What value is shown at the center line of a box plot?
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The median.
How is the range of a data set calculated from a box plot?
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Subtract the minimum value from the maximum value.
What are the five key values needed to draw a box plot?
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Minimum, lower quartile, median, upper quartile, and maximum.
What percentage of data falls between the lower quartile and upper quartile in a box plot?
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50% (the middle half of the data).
What percentage of data falls below the lower quartile in a box plot?
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25%.
What percentage of data falls above the upper quartile in a box plot?
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25%.
What is the upper quartile in a data set?
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The value below which 75% of the data falls (the 75th percentile).
When comparing two box plots, what does a larger interquartile range indicate?
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Greater variability or spread in the middle 50% of the data.
What does it mean if the median line in a box plot is closer to the lower quartile than the upper quartile?
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The data is positively skewed (skewed to the right).
How do you estimate the median from a cumulative frequency graph?
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Find the value corresponding to the cumulative frequency at n/2, where n is the total number of data points.
How do you find the lower quartile (Q1) from a cumulative frequency graph?
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Find the value corresponding to the cumulative frequency at n/4, where n is the total number of data points.
How do you find the upper quartile (Q3) from a cumulative frequency graph?
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Find the value corresponding to the cumulative frequency at 3n/4, where n is the total number of data points.
Why is the interquartile range a better measure of spread than the range?
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The interquartile range is not affected by extreme values (outliers), whereas the range is.
If 40% of students scored less than X minutes, what cumulative frequency value should you use to find X from a graph of 75 students?
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30 (which is 40% of 75)
If 20% of students scored longer than Y minutes, what cumulative frequency value should you use to find Y from a graph of 75 students?
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60 (which is 80% of 75, since 80% scored less than Y)
On a cumulative frequency graph, how do you estimate the probability that a randomly chosen data point falls between two values?
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Find the cumulative frequencies at both values, subtract the smaller from the larger, then divide by the total number of data points.
How do you use a cumulative frequency graph to find how many data points are above a certain value?
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Find the cumulative frequency at that value, then subtract it from the total number of data points.
In a box plot, what is the interquartile range (IQR)?
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The difference between the upper quartile and the lower quartile. It represents the spread of the middle 50% of the data.
The five key values needed to draw a box plot are: minimum, lower quartile, ?, upper quartile, and maximum.
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median
To find the number of data points in a specific range from a cumulative frequency graph, what calculation do you perform?
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Find the cumulative frequencies at both boundary values and subtract the lower from the higher.
When comparing two distributions using cumulative frequency graphs, what two aspects should you typically compare?
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A measure of central tendency (like median or mean) and a measure of spread (like range or interquartile range).
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