Reading times in minutes are 5, 6, 6, 7, 7, 8. Report n, units, and mean.
n = 6; minutes; mean 13/2 min
Sum = 39; mean = 39 ÷ 6 = 13/2.
Day 123Mean and Observation Counts
Standards 6.SP.B.5a6.SP.B.5b6.SP.B.5c
LEARNING TARGET
I can calculate and interpret the mean of numerical data.
01 · LEARN
Build the idea
The mean is a fair share: add all values and divide by the number of observations. Report the count and measurement units. A large unusual value can pull the mean toward it.
Reading times in minutes are 5, 6, 6, 7, 8, 17. Report n, units, and mean. If one more student reads 9 minutes, find the new mean.
n = 6; minutes; mean 49/6 min; new mean 58/7 min
Sum = 49; mean = 49 ÷ 6 = 49/6. New sum = 58; divide by 7.
02 · PRACTICE
Your turn
Work in order. Start with the foundations, then build toward explanation and application.
Reading times in minutes are 3, 4, 4, 5, 5, 6. Report n, units, and mean.
Reading times in minutes are 2, 3, 3, 4, 4, 5. Report n, units, and mean.
Reading times in minutes are 7, 8, 8, 9, 9, 10. Report n, units, and mean.
Reading times in minutes are 3, 9, 9, 15, 15, 21. Report n, units, and mean.
Reading times in minutes are 8, 14, 14, 20, 20, 26. Report n, units, and mean.
Reading times in minutes are 4, 9, 9, 14, 14, 19. Report n, units, and mean.
Reading times in minutes are 3, 4, 4, 5, 6, 15. Report n, units, and mean. If one more student reads 7 minutes, find the new mean.
Reading times in minutes are 8, 9, 9, 10, 11, 20. Report n, units, and mean. If one more student reads 12 minutes, find the new mean.
Reading times in minutes are 4, 5, 5, 6, 7, 16. Report n, units, and mean. If one more student reads 8 minutes, find the new mean.
Reading times in minutes are 6, 7, 7, 8, 9, 18. Report n, units, and mean. If one more student reads 10 minutes, find the new mean.
03 · CHECK
Answers and reasoning
Reveal the teacher answer key
- n = 6; minutes; mean 9/2 min
Sum = 27; mean = 27 ÷ 6 = 9/2.
- n = 6; minutes; mean 7/2 min
Sum = 21; mean = 21 ÷ 6 = 7/2.
- n = 6; minutes; mean 17/2 min
Sum = 51; mean = 51 ÷ 6 = 17/2.
- n = 6; minutes; mean 12 min
Sum = 72; mean = 72 ÷ 6 = 12.
- n = 6; minutes; mean 17 min
Sum = 102; mean = 102 ÷ 6 = 17.
- n = 6; minutes; mean 23/2 min
Sum = 69; mean = 69 ÷ 6 = 23/2.
- n = 6; minutes; mean 37/6 min; new mean 44/7 min
Sum = 37; mean = 37 ÷ 6 = 37/6. New sum = 44; divide by 7.
- n = 6; minutes; mean 67/6 min; new mean 79/7 min
Sum = 67; mean = 67 ÷ 6 = 67/6. New sum = 79; divide by 7.
- n = 6; minutes; mean 43/6 min; new mean 51/7 min
Sum = 43; mean = 43 ÷ 6 = 43/6. New sum = 51; divide by 7.
- n = 6; minutes; mean 55/6 min; new mean 65/7 min
Sum = 55; mean = 55 ÷ 6 = 55/6. New sum = 65; divide by 7.