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

    Bag weights (lb)0123441/833/835/8

    Answer(as a fraction)

  2. Question 2

    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 6? (Use a negative number for a fall.)

    xy12345624681012141618200(0, 8)(1, 8)(2, 12)(3, 17)(4, 14)(5, 18)(6, 20)

    Answer

  3. Question 3

    The mean of 3 numbers is 19. 2 of the numbers are 25, 21. What is the missing number?

    Answer

  4. Question 4

    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, 3)(1, 3)(2, 6)(3, 5)(4, 7)(5, 8)(6, 12)

    Answer

  5. Question 5

    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)012331/431/213/401

    Answer(as a fraction)

  6. Question 6

    A line graph shows the temperature in °C: 8:00 → 22, 10:00 → 25, 12:00 → 21, 14:00 → 16, 16:00 → 9, 18:00 → 15. By how many degrees did it change from 12:00 to 16:00? (Give the size of the change.)

    xy123456481216202428320(0.5, 22)(1.5, 25)(2.5, 21)(3.5, 16)(4.5, 9)(5.5, 15)

    Answer

  7. Question 7

    Find the mean of 14, 12, 10.

    Answer

  8. Question 8

    A line graph shows the number of trees planted each year: 2020: 17, 2021: 36, 2022: 6, 2023: 28, 2024: 8. In which year were the most trees planted?

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

  9. Question 9

    Isla has a mean score of 13 points after 5 games. How many points does Isla need in the next game to raise the mean to 14?

    Answer

  10. Question 10

    Luis found the mean of 2, 5, 3, 4 by adding them and dividing by 3. Spot the mistake. What is the correct mean?

    Answer

  11. Question 11

    A pie chart "Favourite sport" shows 24 answers. The shaded slice for "Football" is 1/2 of the circle. How many answers is that?

    Answer

  12. Question 12

    In a pie chart of 200 pupils' favourite colours, 50% chose blue. How many pupils chose blue?

    Answer

  13. Question 13

    In a pie chart, the slice for "walk" is a right angle (90°). It represents 6 children. How many children are in the whole survey?

    Answer

  14. Question 14

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

    05101520minutes18Mon19Tue18Wed11Thu9Fri

    Answer

  15. Question 15

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

    Bag weights (lb)0123441/823/845/8

    Answer(as a fraction)

  16. Question 16

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

    xy12345624681012141618200(0, 4)(1, 1)(2, 5)(3, 3)(4, 7)(5, 9)(6, 9)

    Answer

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Answer key: 5th grade statistics and probability

  1. 1. 7/2

  2. 2. 8

  3. 3. 11

  4. 4. 6

  5. 5. 3/7

  6. 6. 12

  7. 7. 12

  8. 8. B. 2021

  9. 9. 19

  10. 10. 3.5

  11. 11. 12

  12. 12. 100

  13. 13. 24

  14. 14. 15

  15. 15. 15/4

  16. 16. 1