[discia] GCSE Maths › Statistics › Stem and Leaf

Stem and Leaf

discia.org 10 questions · 35 marks
Name Date
  1. Either paper 3 marks

    The stem-and-leaf diagram shows the ages, in years, of the members of a chess club.

    StemLeaf
    21  4  7  8
    30  5  7  9
    41  4  

    Key: 2 | 1 means 21 years

    (a)

    How many members does the chess club have?

    (b)

    State the range of the ages.

    (c)

    How many members are aged from 30 to 39?

    Show answer
    (a) \(10\)
    (b) \(23\ \text{years}\)
    (c) \(4\)
    Another like this
  2. Either paper 4 marks

    The stem-and-leaf diagram shows the number of minutes each of 11 people took to finish a puzzle.

    StemLeaf
    31  4  9
    41  1  4  6  8
    51  6  7

    Key: 3 | 1 means 31 minutes

    (a)

    Find the median time.

    (b)

    State the mode.

    (c)

    Find the range of the times.

    Show answer
    (a) \(44\ \text{minutes}\)
    (b) \(41\ \text{minutes}\)
    (c) \(26\ \text{minutes}\)
    Another like this
  3. Either paper 4 marks

    Here are the ages, in years, of nine people in a queue.

    \(23,\ 39,\ 35,\ 41,\ 20,\ 45,\ 33,\ 43,\ 28\)

    A stem-and-leaf diagram is to be drawn for these numbers, using the tens digit as the stem and the units digit as the leaf.

    (a)

    State the number of leaves the diagram would have on the stem \(3\).

    (b)

    State the leaves on the stem \(4\), in the order they would be written in the diagram.

    (c)

    Find the median of the nine values.

    Show answer
    (a) \(3\)
    (b) \(1,\ 3,\ 5\)
    (c) \(35\ \text{years}\)
    Another like this
  4. Either paper 2 marks

    The stem-and-leaf diagram shows the number of minutes some pupils spent on homework.

    StemLeaf
    12  4  6  
    20  2  6  
    30  4  7  9

    Key: 1 | 2 means 12 minutes

    Find the fraction of the pupils who spent at least 30 minutes.

    Give your answer in its simplest form.

    Show answer
    \(\frac{ 2 }{ 5 }\)
    Another like this
  5. Either paper 3 marks

    Here are the numbers of calories in 16 different snack bars.

    142, 152, 143, 134, 157, 152, 132, 164, 132, 147, 167, 161, 142, 137, 161, 155

    Show this information in a stem and leaf diagram. Remember to include a key.

    Show answer
    StemLeaf
    132 2 4 7
    142 2 3 7
    152 2 5 7
    161 1 4 7
    Key: 13 | 2 means 132 calories
    Another like this
  6. Either paper 5 marks

    The back-to-back stem-and-leaf diagram shows the times, in minutes, taken by nine adults and nine children to finish a puzzle.

    AdultsStemChildren
    6  5  251  3  8
    9  7  160  4  9
    6  4  070  5  8

    Key: on the adults side, 2 | 5 means 52 minutes. On the children side, 5 | 1 means 51 minutes. Both sides are read outwards from the stem.

    (a)

    Calculate the median for the adults.

    (b)

    Calculate the median for the children.

    (c)

    Which group has the higher median?

    Show answer
    (a) \(67\ \text{minutes}\)
    (b) \(64\ \text{minutes}\)
    (c) Adults
    Another like this
  7. Either paper 5 marks

    The stem-and-leaf diagram shows the heights, in metres, of eleven young trees.

    StemLeaf
    60  3  6  7
    70  3  5  8
    80  5  8  

    Key: 6 | 0 means 6.0 m

    (a)

    Work out the range.

    (b)

    Work out the median.

    (c)

    State the number of trees that are under \(7\) m.

    Show answer
    (a) \(2.8\) m
    (b) \(7.3\) m
    (c) \(4\)
    Another like this
  8. Either paper 3 marks

    The stem-and-leaf diagram shows the number of emails eleven staff received in one hour.

    The leaves on the middle row have not been put in order.

    StemLeaf
    22  4  6  8
    36  3  7  0
    43  5  8

    Key: 2 | 2 means 22 emails

    (a)

    Write down the leaves on the middle row in order, smallest first.

    (b)

    Calculate the median.

    Show answer
    (a) \(0,\ 3,\ 6,\ 7\)
    (b) \(33\ \text{emails}\)
    Another like this
  9. Either paper 3 marks

    The stem-and-leaf diagram shows the marks scored by ten pupils in a test.

    StemLeaf
    10  4  8
    22  4  7  8
    30  6  8

    Key: 1 | 0 means 10 marks

    Work out the mean.

    Show answer
    \(24.7\ \text{marks}\)
    Another like this
  10. Either paper 3 marks

    The stem-and-leaf diagram shows the marks of eleven pupils in a test.

    StemLeaf
    51  4  6  9
    61  3  5  9
    70  5  9

    Key: 5 | 1 means 51 marks

    A twelfth pupil takes the test and scores \(62\) marks.

    (a)

    Write down the stem and the leaf that would be used for \(62\).

    (b)

    Find the median of all twelve values.

    Show answer
    (a) stem 6, leaf 2
    (b) \(62.5\ \text{marks}\)
    Another like this
discia.org Stem and Leaf · sheet 1
Answers Stem and Leaf · sheet 1
  1. (a) \(10\)
    (b) \(23\ \text{years}\)
    (c) \(4\)
  2. (a) \(44\ \text{minutes}\)
    (b) \(41\ \text{minutes}\)
    (c) \(26\ \text{minutes}\)
  3. (a) \(3\)
    (b) \(1,\ 3,\ 5\)
    (c) \(35\ \text{years}\)
  4. \(\frac{ 2 }{ 5 }\)
  5. StemLeaf
    132 2 4 7
    142 2 3 7
    152 2 5 7
    161 1 4 7
    Key: 13 | 2 means 132 calories
  6. (a) \(67\ \text{minutes}\)
    (b) \(64\ \text{minutes}\)
    (c) Adults
  7. (a) \(2.8\) m
    (b) \(7.3\) m
    (c) \(4\)
  8. (a) \(0,\ 3,\ 6,\ 7\)
    (b) \(33\ \text{emails}\)
  9. \(24.7\ \text{marks}\)
  10. (a) stem 6, leaf 2
    (b) \(62.5\ \text{marks}\)
discia.org Stem and Leaf · sheet 1