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# FM Box Plot

## 2.4 Scatterplots and Association between Numerical Variables

### Scatterplots

• Scatterplots are used to visualise data with explanatory and response variables.
• They consist of an x-y axis with each datapoint represented as a dot above its x-value and to the right of its y-value.
• Scatterplots can be used to see relationships between variables. These relationships can be described in terms of form, direction and strength.
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## 2.3 Relationships between Numerical and Categorical Variables

### Discussing Relationships between Numerical and Categorical Variables

• Begin with context: what does the data represent?
• Compare frequencies between the categories of the categorical dataset.
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## 1.8 Statistical Analysis of Numerical Distributions

### Guide to Analysing a Numerical Distribution

• Begin with some context: what does the data represent?
• Always mention the minimum, centre and maximum.
• Check for outliers and mention if there are any.
• Describe the shape of the distribution.
• If there are outliers, mention the values of the lower and upper fences.
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## 1.7 Box Plots and the Five Number Summary

### The Box Plot

• The box plot is a graphical tool used to analyse the shape, spread and outliers of a numerical distribution.
• It consists of a box with the bottom drawn at the value of quartile 1 and the top at quartile 3, a line drawn through the box at the median and a line either end of the box drawn to the lower and upper fences.
• If the median line is in the middle of the box, the distribution is approximately symmetric, if it is drawn closer to the bottom of the box, it is positively skewed, if it is drawn closer to the top of the box, it is negatively skewed.
• If the distribution has any outliers, they are represented as dots or crosses at their respective value along the y-axis and placed parallel to box.
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