AI generatedStatisticsKey Stage 3

Reading a stem-and-leaf diagram

Reading a stem-and-leaf diagram.

  • Split each number into a stem and leaf.
  • Order leaves from smallest to largest and retain repeated values.
  • Include a key so the units are unambiguous.

Example 1

Find the median and range of the data.

2 | 4 means 24
StemLeaf
12 7
21 4 4 8
32 6
41
The stem gives the tens; the leaf gives the units. Order the leaves and keep repeats.
MedianThere are nine values, so the median is the fifth.
RangeSubtract the smallest value from the largest.
Median 24, range 29.

Example 2

Find the median and range of the data.

2 | 4 means 24
StemLeaf
13 8
22 5 5 9
33 7
42
The stem gives the tens; the leaf gives the units. Order the leaves and keep repeats.
MedianThere are nine values, so the median is the fifth.
RangeSubtract the smallest value from the largest.
Median 25, range 29.

Your turn

Question 1

Find the median and range of the data.

2 | 4 means 24
StemLeaf
14 9
23 6 6
30 4 8
43
Check answer
The stem gives the tens; the leaf gives the units. Order the leaves and keep repeats.
MedianThere are nine values, so the median is the fifth.
RangeSubtract the smallest value from the largest.
Median 26, range 29.
Question 2

Find the median and range of the data.

2 | 4 means 24
StemLeaf
15
20 4 7 7
31 5 9
44
Check answer
The stem gives the tens; the leaf gives the units. Order the leaves and keep repeats.
MedianThere are nine values, so the median is the fifth.
RangeSubtract the smallest value from the largest.
Median 27, range 29.
Question 3

Find the median and range of the data.

2 | 4 means 24
StemLeaf
16
21 5 8 8
32 6
40 5
Check answer
The stem gives the tens; the leaf gives the units. Order the leaves and keep repeats.
MedianThere are nine values, so the median is the fifth.
RangeSubtract the smallest value from the largest.
Median 28, range 29.
Question 4

Find the median and range of the data.

2 | 4 means 24
StemLeaf
17
22 6 9 9
33 7
41 6
Check answer
The stem gives the tens; the leaf gives the units. Order the leaves and keep repeats.
MedianThere are nine values, so the median is the fifth.
RangeSubtract the smallest value from the largest.
Median 29, range 29.
Question 5

Find the median and range of the data.

2 | 4 means 24
StemLeaf
18
23 7
30 0 4 8
42 7
Check answer
The stem gives the tens; the leaf gives the units. Order the leaves and keep repeats.
MedianThere are nine values, so the median is the fifth.
RangeSubtract the smallest value from the largest.
Median 30, range 29.
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