Calculating summary statistics from stem and leaf diagrams
I can calculate the mean, median, mode and range from a stem and leaf diagram.
- Year 10
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.
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
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.A statistical summary sums up the features of a data set. It may contain an which measures the central tendency. It may also contain the range which measures the spread.
Q2.The mode of this data set is .
Q3.The range of this data set is .
Q4.The median of this data set is .
Q5.The mean of this this data set is .
Q6.This table represents the number of cars in 40 households. The mean number of cars per household is cars.
Assessment exit quiz
6 Questions
Q1.The modal group in this stem and leaf diagram is __________.
Q2.The modal distance is km.
Q3.The range of the data shown on this stem and leaf diagram is km.
Q4.The total of the first row of leaves is kg.
Q5.Sam and Andeep draw a back-to-back stem and leaf diagram to compare their classes' scores in a quiz. Match the summary statistic for each class with its value.
Q6.Calculate the mean mass (to 2 decimal places) of the data represented in this stem and leaf diagram. The totals for each row have been calculated already.
