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Chapter 20 Practice Paper: Statistics — question paper

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QQ/GCSE-MATHS/CH20

GCSE (9–1) · GCSE Mathematics (Foundation with Higher stretch)

Chapter 20 Practice Paper

Statistics

Duration: 40 minutes
Total: 30 marks
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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.
  • Diagrams are described in words; sketch them where a question asks.
  • 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 for the MOE GCSE Mathematics syllabus. It is not an official MOE or school examination paper. Chapter 20: sampling and bias, pie charts, pictograms, bar charts and time series, averages and spread from lists and frequency tables, scatter graphs and lines of best fit, and (Higher) histograms, cumulative frequency, quartiles, IQR and box plots.

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

    A newspaper polls readers of its own website about print newspapers. The sample is

    1. Abiased
    2. Brandom
    3. Cstratified
    4. Dimpossible to judge
    ( )
  2. 2

    Six numbers have a mean of 8. Their total is

    1. A8
    2. B14
    3. C48
    4. D2
    ( )
  3. 3

    Seven house points are 6, 9, 3, 12, 7, 11 and 4. Their median is

    1. A7
    2. B9
    3. C8
    4. D6
    ( )
  4. 4

    The longest phone call lasted 19 minutes and the shortest 4 minutes. The range is

    1. A19
    2. B4
    3. C15
    4. D23
    ( )
  5. 5

    A pie chart shows a 90° sector for 20 pupils. The total number of pupils surveyed is

    1. A60
    2. B80
    3. C90
    4. D100
    ( )
  6. 6

    In a grouped table, the class 30 ≤ x < 50 holds 36 items. The frequency density is

    1. A0.9
    2. B36
    3. C20
    4. D1.8
    ( )
  7. 7

    Cumulative frequency is plotted at

    1. Aeach class midpoint
    2. Bthe upper class boundary
    3. Cthe lower class boundary
    4. Dthe class width
    ( )
  8. 8

    A data set has lower quartile 25 and upper quartile 41. The IQR is

    1. A23
    2. B34
    3. C16
    4. D6.5
    ( )
  9. 9

    Estimating inside the plotted range of a scatter graph is called

    1. Aextrapolation
    2. Binterpolation
    3. Ccorrelation
    4. Dscaling
    ( )
  10. 10

    A box plot has LQ 18, median 25 and UQ 36. The IQR is

    1. A7
    2. B11
    3. C18
    4. D61
    ( )

Section B: Structured questions[20 marks]

Show all your working. Give units where a question asks for them.

  1. 11

    A café counts cups of coffee sold each weekday.

    1. (a)

      Sales were Mon 24, Tue 30, Wed 18, Thu 36 and Fri 27. Find the total number of cups sold.

      [2]
    2. (b)

      Calculate the mean number of cups sold per day.

      [2]
  2. 12

    An orchestra pie chart.

    1. (a)

      72 musicians play: strings take a 120° sector, woodwind 90° and brass 60°. Find the percussion sector angle.

      [2]
    2. (b)

      How many musicians play strings?

      [2]
  3. 13

    Salaries at a small office.

    1. (a)

      Six salaries, in £1000, are 22, 25, 25, 28, 31 and 37. Find the median.

      [2]
    2. (b)

      A seventh salary of £95 000 is added. State and explain the effect on the mean and the median.

      [2]
  4. 14

    Exam finishing times. (Higher)

    1. (a)

      Sixty pupils: 0 < t ≤ 20 min (8 pupils), 20 < t ≤ 40 (12), 40 < t ≤ 60 (30), 60 < t ≤ 80 (10). How many finished within 40 minutes?

      [2]
    2. (b)

      In which class does the median finishing time lie?

      [2]
  5. 15

    Two gyms’ session lengths. (Higher)

    1. (a)

      Gym P’s session lengths (min): minimum 20, LQ 35, median 45, UQ 60, maximum 85. Find the IQR.

      [2]
    2. (b)

      Gym Q has minimum 25, LQ 40, median 45, UQ 52, maximum 70. Compare the two gyms’ session lengths.

      [2]

— End of paper —