Starter quiz
- Which of the following are graphical displays of discrete data only?
- Bar chart ✓
- Tally chart ✓
- Pictogram ✓
- Histogram
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- What are the benefits when using software to draw graphical representations of large data sets?
- It is quick. ✓
- You are less likely to make mistakes. ✓
- It gives a clear representation. ✓
- It takes a lot of time to input the data.
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- Which of the following sets of brackets with a comma are used to show a data set?
- {}
- [] ✓
- ()
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- When we have continuous data with equal class intervals...
- ...it is convention to draw the histogram against frequency density.
- ...it is convention to draw the histogram against frequency. ✓
- ...it is convention to draw the histogram bars with gaps.
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- When we have continuous data with unequal class intervals:
- The histogram is plotted against the frequency density to show the distribution. ✓
- The histogram is plotted against the frequency to show the distribution.
- The histogram will have gaps between each bar.
- The histogram will not have gaps between each bar, unless the frequency = 0. ✓
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- Which of the following are illustrated in a box plot?
- Minimum value ✓
- Maximum value ✓
- Three quartiles ✓
- The estimate mean
- The exact mean
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Exit quiz
- What is the "bin width" when using Desmos to draw a histogram?
- The number of values in the data set
- The interval size on the -axis
- The width of the class interval ✓
- The height of the class interval
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- An Oak pupil inserts some data into Desmos and writes A=(1,2,2,2,2,2,3,3,3,4,4). Desmos does not recognise this as a set of data. Select the reason why.
- There needs to be a space in-between each comma.
- [] should be used to represent a set of data elements. ✓
- {} should be used to represent a set of data elements.
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- When correcting the histogram, it is important to chose the correct bin alignment.
- Select the bin alignment to LEFT. ✓
- Select the bin alignment to CENTRE.
- Delete the bin alignment
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- Which icons will allow you to see the graph once the data has been inputted and a graphical display chosen?
- Spanner ✓
- Magnifying glass ✓
- Count
- Relative
- Left
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- When drawing a box plot, what does "offset" do to the box plot?
- The offset moves the box plot away from the axis.
- The offset moves the box plot away from the axis. ✓
- Changes the height of the IQR.
- Changes the lengths of the lines.
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- To change the position of the box plot, you should change...
- ...the value of the height.
- ...the value of the offset. ✓
- ...the -axis.
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Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- Histograms can be drawn quickly using technology
- Using the raw data allows software to calculate equal bin widths easily
- Box plots can be drawn using the same data to allow comparison
- You can compare the shape of the histogram to its box plot
Common misconception
When using Desmos, incorrect brackets () are used to input raw data as elements.
[] are used to denote a set of data elements or elements. Encourage pupils to think about set notation when using Venn diagrams. Desmos will reject the use of () as they do not denote a set of elements.
Keywords
Histogram - A histogram is a diagram consisting of rectangles whose area is proportional to the frequency in each class and whose width is equal to the class interval.
Box plot - A box plot is a diagram that clearly shows the minimum and maximum value of a data set along with the three quartiles.
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