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.
These resources will be removed by end of Summer Term 2025.
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.
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.
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.
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).
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