Day 130Quiz 2
I can apply the skills taught so far, show my reasoning, and check my answers.
Show what you know
Questions 1–1 review Unit 8 (20%). The remaining 4 questions assess the current unit. Show your work, simplify exact answers, label units, and explain when asked.
Quiz
Begin with the review questions, then continue through the current-unit questions.
- Previous unit review
Fill a prism 5/2 × 3/2 × 3/2 units with cubes of edge 1/2 unit. How many cubes fit? Use their volumes to verify lwh.
- Current unit
Reading times in minutes are 6, 9, 9, 12, 12, 15. Find Q1, Q3, IQR, and range.
- Current unit
Reading times in minutes are 5, 7, 7, 9, 9, 11. Calculate the mean and MAD. Show all absolute deviations.
- Current unit
Reading times in minutes are 7, 8, 8, 9, 10, 19. Choose a center and matching variability measure. Calculate both and justify your choice.
- Current unit
Reading times in minutes are 5, 6, 6, 7, 8, 17. Draw a labeled dot plot. Describe a cluster or gap and report the count.
Answers and reasoning
Reveal the teacher answer key
- 45 cubes; each 1/8 cubic unit; prism 45/8 cubic units
Counts along edges: 5, 3, 3. Product 45; 45 × 1/8 = 45/8, also lwh.
- Q1 9, Q3 12; IQR 3 min; range 9 min
Lower half [6, 9, 9] has median 9; upper half [12, 12, 15] has median 12. Subtract Q1 from Q3.
- Mean 8 min; MAD 5/3 min
Distances: 3, 1, 1, 1, 1, 3; sum 10; divide by 6 = 5/3.
- Median 17/2 min and IQR 2 min; high value makes these resistant measures useful
Mean = 61/6, median = 17/2, IQR = 10 - 8 = 2, MAD = 53/18. Accept another justified choice tied to shape and purpose.
- 5: 1 dot; 6: 2 dots; 7: 1 dot; 8: 1 dot; 17: 1 dot; n = 6; low cluster and high isolated value
Each observation contributes one dot; stack repeated values at their number-line position.