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8th grade statistics and probability

8th grade (Year 9 in England) · 16 questions · Common Core: 8.SP.A.1, 8.SP.A.2, 8.SP.A.3, 8.SP.A.4 · England: KS3 Statistics, GCSE Foundation Statistics

Name

Date

Score/ 16

  1. Question 1

    Felix plotted two measurements for 8 plants in a scatter graph. What type of correlation does it show?

    xy24681024681012140(1, 9)(2, 10)(3, 9)(4, 6)(5, 5)(6, 5)(7, 5)(8, 2)
    • A. Positive
    • B. Negative
    • C. No correlation

  2. Question 2

    What association would you expect between: Outside temperature and heating bill?

    • A. Positive
    • B. Negative
    • C. None

  3. Question 3

    Year 7 — cats 14, dogs 20; Year 8 — cats 18, dogs 11. A Year 7 student is picked at random. What is the probability they prefer cats? Give a fraction in simplest form.

    Answer(as a fraction)

  4. Question 4

    A two-way table: Year 7 — cats 16, dogs 14; Year 8 — cats 19, dogs 14. How many Year 8 students are there?

    Answer

  5. Question 5

    Which point is an outlier in this scatter plot?

    xy1234567896121824300(1, 5)(2, 5)(3, 9)(4, 20)(5, 11)(6, 15)(7, 16)(8, 19)
    • A. (6, 15)
    • B. (8, 19)
    • C. (2, 5)
    • D. (4, 20)

  6. Question 6

    Data was collected for x from 1 to 8, and the line of best fit is y = 2x + 18. Priya uses it to predict y when x = 46. Why should Priya be careful?

    xy1234567891015300y = 2x + 18(1, 22)(2, 22)(3, 23)(4, 27)(5, 26)(6, 32)(7, 31)(8, 36)
    • A. The line has a positive slope
    • B. Lines of best fit can never be used
    • C. x is far outside the data range, so the trend may not continue
    • D. The answer will be a decimal

  7. Question 7

    For plants, the line of best fit of height in cm (y) against age in weeks (x) is y = 3x + 15. What does 3 mean?

    • A. Plants grow about 3 cm per week
    • B. Plants are 3 cm tall at the start
    • C. Plants grow 15 cm per week
    • D. Plants grow for 3 weeks

  8. Question 8

    The line of best fit for hours studied (x) and test score (y) is y = 5x + 1. Predict the score for 10 hours of study.

    xy246810121481624324048566472800y = 5x + 1

    Answer

  9. Question 9

    A line of best fit is y = 2.5x + 6. For which x does it predict y = 33.5?

    Answer

  10. Question 10

    In Class X, 21 of 30 students bike to school. In Class Y, 48 of 60 students bike to school. Which class has the higher proportion of cyclists?

    • A. X
    • B. Y
    • C. The same

  11. Question 11

    The line of best fit for the cost of a taxi ride (y, in currency units) against distance (x, in km) is y = 4x + 24. What does 24 represent?

    • A. The cost of a 24 km trip
    • B. The predicted cost for a 0 km trip (the starting charge)
    • C. The cost per km
    • D. The longest possible trip

  12. Question 12

    The line of best fit for test score (y) against hours of practice (x) is y = 9x + 39. Predict the score after 3 hours.

    Answer

  13. Question 13

    Does this scatter plot show a linear or a nonlinear association?

    xy246824681012141618200(1, 8)(2, 5)(3, 2)(4, 1)(5, 0)(6, 1)(7, 2)(8, 5)
    • A. Linear
    • B. Nonlinear

  14. Question 14

    Year 9 survey. Have a pet: 24 with a phone, 29 without. No pet: 12 with a phone, 16 without. Of the students WITH a phone, what fraction have a pet? Give a fraction in simplest form.

    Answer(as a fraction)

  15. Question 15

    What kind of association does the scatter plot show?

    xy24681024681012140(1, 9)(2, 8)(3, 7)(4, 10)(5, 5)(6, 10)(7, 3)(8, 1)(9, 6)
    • A. Positive association
    • B. Negative association
    • C. No association

  16. Question 16

    40 students in Club A and 30 students in Club B were asked if they recycle at home. 12 in Club A and 18 in Club B said yes. What percentage of Club B recycle at home?

    Answer

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Answer key: 8th grade statistics and probability

  1. 1. B. Negative

  2. 2. B. Negative

  3. 3. 7/17

  4. 4. 33

  5. 5. D. (4, 20)

  6. 6. C. x is far outside the data range, so the trend may not continue

  7. 7. A. Plants grow about 3 cm per week

  8. 8. 51

  9. 9. 11

  10. 10. B. Y

  11. 11. B. The predicted cost for a 0 km trip (the starting charge)

  12. 12. 66

  13. 13. B. Nonlinear

  14. 14. 2/3

  15. 15. C. No association

  16. 16. 60