Help your students prepare for their Maths GCSE with this free stem and leaf diagrams worksheet of 27 questions and answers
A stem and leaf diagram is useful for quickly displaying or ordering a set of data by breaking the numbers into two sections – a stem and a leaf.
When drawing stem and leaf diagrams, we first select the ‘stems’. If the numbers include integers then the stem is often the tens unit, if the data includes decimals then the stem is often the part of the decimal to the left of the decimal place. These stems are listed in a column, and the ‘leaves’ are added in the appropriate row. The leaves make up the rest of the number, for example for the number 28 the stem will be the ‘2’ to represent ‘20’ and the leaf will be the 8 units. The data in an ordered stem and leaf diagram should be ordered from smallest to biggest and a key must be included to show what the stem and leaf each represent.
Once the data is presented in a stem and leaf diagram it can then be transferred to a grouped frequency table to produce a histogram.
A back to back stem and leaf diagram is useful when comparing the distributions of two sets of data. Back to back stem and leaf diagrams share the same ‘stem’, with one set of data listed to the right of the stem, and the other set listed to the left in reverse order.
When interpreting stem and leaf diagrams we can calculate the median and quartiles by counting or marking off individual data items. We can also easily find the fraction of data points above or below a certain value.
Looking forward, students can then progress to additional Statistics worksheets, for example a mean, median, mode and range worksheet or frequency table worksheet.
For more teaching and learning support on Statistics our GCSE maths lessons provide step by step support for all GCSE maths concepts.
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