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Topic 18 Practice Paper: Statistics — question paper

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QQ/IGCSE-MATHS/T18

IGCSE · Cambridge IGCSE Mathematics (Extended (Core + Extended))

Topic 18 Practice Paper

Statistics

Duration: 40 minutes
Total: 30 marks
Name:
Class:
Register No.:
Date:

READ THESE INSTRUCTIONS FIRST

  • Answer all questions.
  • Section A contains ten multiple-choice questions. Choose one answer, A, B, C or D, for each.
  • Section B contains structured questions. Write your answers in the spaces provided.
  • The number of marks is given in brackets [ ] at the end of each question or part question.
  • The total mark for this paper is 30.

Original practice material written against the Cambridge IGCSE Mathematics syllabus. It is not an official Cambridge examination paper. Topic 18: two-way tables, mean, median, mode and range from lists and frequency tables, pie chart angles, stem-and-leaf diagrams, scatter diagrams and lines of best fit, estimated means of grouped data, cumulative frequency quartiles and histograms.

For Examiner’s Use
Section A/ 10
Section B/ 20
Total/ 30

Section A: Multiple-choice questions[10 marks]

Choose one answer for each question. Every correct answer scores one mark.

  1. 1

    The mean of 4, 6, 7, 7 and 11 is

    1. A6.8
    2. B7
    3. C7.5
    4. D35
    ( )
  2. 2

    The median of 12, 5, 9, 3 and 9 is

    1. A3
    2. B5
    3. C9
    4. D12
    ( )
  3. 3

    The mode of 1, 2, 2, 3, 3, 3 is

    1. A1
    2. B2
    3. C3
    4. D2 and 3
    ( )
  4. 4

    A data set of 15 values has mean 6.2. The total of the values is

    1. A93
    2. B9.3
    3. C0.93
    4. D930
    ( )
  5. 5

    In a survey of 96 people, 24 chose a category. Its pie chart angle is

    1. A24°
    2. B60°
    3. C90°
    4. D96°
    ( )
  6. 6

    One sector of a pie chart drawn for 80 people has an angle of 45°. It represents how many people?

    1. A10
    2. B45
    3. C8
    4. D12
    ( )
  7. 7

    Outside temperature against ice-cream sales rises together. The correlation is

    1. Anegative
    2. Bzero
    3. Cno pattern
    4. Dpositive
    ( )
  8. 8

    A stem-and-leaf row has stem 5 and leaves 2, 6 and 8. The key says 4 | 7 means 47. The values shown are

    1. A52, 56, 58
    2. B2, 6, 8
    3. C5.2, 5.6, 5.8
    4. D252, 256, 258
    ( )
  9. 9

    Half of the 40 values lie below the median. On the cumulative frequency curve, the median is read at a height of (Extended)

    1. A40
    2. B20
    3. C10
    4. D30
    ( )
  10. 10

    A histogram class has frequency density 2.5 and width 8. Its frequency is (Extended)

    1. A10.5
    2. B2.5
    3. C3.2
    4. D20
    ( )

Section B: Structured questions[20 marks]

Answer all questions in the spaces provided. Show all your working.

  1. 11

    A data set is 12, 9, 15, 9, 20, 11.

    1. (a)

      State the modal value of the data set.

      [1]
    2. (b)

      Find the median value.

      [2]
    3. (c)

      Calculate the range of the values.

      [1]
    4. (d)

      Calculate the mean, giving your answer to 3 significant figures.

      [1]
  2. 12

    Shoe sizes in a class of 20: size 6 ×3, size 7 ×8, size 8 ×6, size 9 ×3.

    1. (a)

      Calculate the mean shoe size.

      [3]
    2. (b)

      State the modal shoe size.

      [1]
    3. (c)

      Find the median shoe size.

      [1]
  3. 13

    A music club has 72 members: 30 in the choir, 24 in the band and 18 as soloists. A pie chart is drawn.

    1. (a)

      Calculate the angle for the choir.

      [2]
    2. (b)

      Calculate the angles for the band and the soloists.

      [2]
    3. (c)

      Show that all three angles sum to 360°.

      [1]
  4. 14

    Waiting times (t minutes) of 20 patients: 0 ⩽ t < 10 (4 patients), 10 ⩽ t < 20 (9), 20 ⩽ t < 30 (7). (Extended)

    1. (a)

      Estimate the mean waiting time for the 20 patients.

      [3]
    2. (b)

      State the class interval that contains the median waiting time.

      [2]

— End of paper —