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5th grade statistics and probability

5th grade (Year 6 in England) · 16 questions · Common Core: 5.G.A.2, 6.SP.B.5.C, 5.MD.B.2 · England: Y5 Statistics, Y6 Statistics

Name

Date

Score/ 16

  1. Question 1

    The mean of 4 numbers is 15. 3 of the numbers are 15, 25, 12. What is the missing number?

    Answer

  2. Question 2

    In a pie chart, the slice for "walk" is a right angle (90°). It represents 9 children. How many children are in the whole survey?

    Answer

  3. Question 3

    A pie chart "Books read this term" shows 50 answers. The shaded slice for "Class A" is 1/5 of the circle. How many answers is that?

    Answer

  4. Question 4

    The bar chart shows how many minutes a class read each day. What is the mean number of minutes per day?

    0510152025minutes20Mon17Tue21Wed12Thu10Fri

    Answer

  5. Question 5

    In a pie chart of 200 pupils' favourite colours, 75% chose blue. How many pupils chose blue?

    Answer

  6. Question 6

    The line graph shows the temperature (°C) at hours 0 to 6 of an experiment. By how much did the temperature change from hour 2 to hour 3? (Use a negative number for a fall.)

    xy12345624681012141618200(0, 5)(1, 3)(2, 6)(3, 4)(4, 4)(5, 8)(6, 5)

    Answer

  7. Question 7

    Ravi has a mean score of 9 points after 4 games. How many points does Ravi need in the next game to raise the mean to 10?

    Answer

  8. Question 8

    The line plot shows the weights (lb) of some bags of beads. What is the total weight of all the bags?

    Bag weights (lb)0123431/823/845/8

    Answer(as a fraction)

  9. Question 9

    A line graph shows the number of trees planted each year: 2020: 16, 2021: 35, 2022: 32, 2023: 28, 2024: 10. In which year were the most trees planted?

    • A. 2020
    • B. 2021
    • C. 2022
    • D. 2023
    • E. 2024
  10. Question 10

    Ines found the mean of 8, 6, 7, 7 by adding them and dividing by 3. Spot the mistake. What is the correct mean?

    Answer

  11. Question 11

    The line graph shows a plant's height (cm) from week 0 to week 6. In which week did it grow the most? (Give the week it ended in.)

    xy12345624681012141618200(0, 2)(1, 4)(2, 3)(3, 2)(4, 6)(5, 7)(6, 10)

    Answer

  12. Question 12

    Find the mean of 14, 14, 14, 14, 14.

    Answer

  13. Question 13

    The line plot shows how much juice (litres) is in 7 jugs. If all the juice were shared equally between the jugs, how much would each jug hold?

    Juice per jug (litres)01221/421/223/411

    Answer(as a fraction)

  14. Question 14

    A line graph shows the temperature in °C: 8:00 → 16, 10:00 → 20, 12:00 → 29, 14:00 → 21, 16:00 → 26, 18:00 → 9. By how many degrees did it change from 14:00 to 16:00? (Give the size of the change.)

    xy123456481216202428320(0.5, 16)(1.5, 20)(2.5, 29)(3.5, 21)(4.5, 26)(5.5, 9)

    Answer

  15. Question 15

    The mean of 4 numbers is 8. 3 of the numbers are 8, 4, 19. What is the missing number?

    Answer

  16. Question 16

    In a pie chart, the slice for "walk" is a right angle (90°). It represents 12 children. How many children are in the whole survey?

    Answer

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Answer key: 5th grade statistics and probability

  1. 1. 8

  2. 2. 36

  3. 3. 10

  4. 4. 16

  5. 5. 150

  6. 6. -2

  7. 7. 14

  8. 8. 29/8

  9. 9. B. 2021

  10. 10. 7

  11. 11. 4

  12. 12. 14

  13. 13. 4/7

  14. 14. 5

  15. 15. 1

  16. 16. 48