# Calculating summary statistics from stem and leaf diagrams

I can calculate the mean, median, mode and range from a stem and leaf diagram.

# Calculating summary statistics from stem and leaf diagrams

I can calculate the mean, median, mode and range from a stem and leaf diagram.

## Lesson details

### Key learning points

- The range can be calculated from a stem and leaf diagram.
- The mode can be calculated from a stem and leaf diagram.
- The median can be calculated from a stem and leaf diagram.
- Although possible, the mean is very time consuming to calculate.

### Common misconception

You can only find the median class from a stem-and-leaf diagram.

The data is organised into intervals based on place value. However the full data is still available so the middle value(s) can still be found. The diagram is a form of an ordered list so previous methods for finding the median still apply.

### Keywords

Stem and leaf diagram - A stem and leaf diagram is a systematic way to organise and represent numerical data, by splitting each value into a stem and a leaf.

Mean - The (arithmetic) mean for a set of numerical data is the sum of the values divided by the number of values. It is a measure of central tendency representing the average of the values.

Median - The median is the central (middle) piece of data when the data are in numerical order.

Mode - Mode is the most frequent value. It is a measure of central tendency representing the average of the values.

Range - The range is a measure of spread. It is found by finding the difference between the two extreme points; the lowest and highest values.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Video

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## Starter quiz

### 6 Questions

## Exit quiz

### 6 Questions

39

31

54

34

42

42.5