# Data handling: Calculate, represent and interpret measures of central tendency and dispersion in univariate numerical ungrouped data

### Subject outcome

Subject outcome 4.1: Calculate, represent and interpret measures of central tendency and dispersion in univariate numerical ungrouped data.

### Learning outcomes

• Work out the five-number summary by:
• Calculating the maximum, minimum and quartiles
• Determining the fences
• Constructing the box and whisker diagram
• Indicating any outliers.
• Interpret the meaning of the representation of the box and whisker diagram with its outliers.

### Unit 1 outcomes

By the end of this unit you will be able to:

• Find the mean for ungrouped data.
• Find the median for ungrouped data.
• Find the mode for ungrouped data.
• Find the range and interquartile range.

### Unit 2 outcomes

By the end of this unit you will be able to:

• Combine measures of central tendency and dispersion to work out the five-number summary.
• Construct the box-and-whisker plot.
• Interpret the box-and-whisker plot.