MYP 4Year 10Term 3
Statistics
Descriptive measures · Boxplots · Cumulative frequency
Statistics
15 objectives
Learning objectives
What students should be able to do by the end of this unit.
Descriptive Measures
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- Calculate the mean, median and mode of an ungrouped data set.
- Estimate the mean of a grouped frequency distribution using midpoints.
- Identify the modal class and median class of a grouped distribution.
- Calculate measures of variability: range, interquartile range (IQR) and standard deviation (using technology).
- Discuss the effect of outliers on the mean, median and standard deviation.
Representations: Histograms and Cumulative Frequency
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- Construct a frequency histogram and a relative-frequency histogram for grouped data.
- Construct a cumulative frequency table from a grouped frequency distribution.
- Draw a cumulative frequency curve (ogive) and use it to estimate the median, quartiles and percentiles.
- Construct a box-and-whisker plot from a five-number summary.
- Use the $1.5 \times \text{IQR}$ rule to identify potential outliers from a boxplot.
Shape, Skew and Comparison
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- Describe the shape of a distribution as symmetric, positively skewed or negatively skewed.
- Predict the effect of skew on the relative positions of the mean and median.
- Compare two distributions using measures of centre, spread and shape.
- Use boxplots side by side to compare two data sets.
- Justify which measure of centre and which measure of spread are most appropriate for a given data set.
Review pack
Curated revision materials parents and students can download.
A review pack for this unit is being prepared.