Day 125Quiz 1
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
Sketch a triangle with base 14 cm and perpendicular height 5 cm. Find its area.
- Current unit
Identify the group, attribute, and units in: How many minutes do students in our class sleep each night?
- Current unit
Reading times in minutes are 4, 7, 7, 10, 10, 13. Describe a typical value, range, shape, and any striking value.
- Current unit
Reading times in minutes are 7, 8, 8, 9, 10, 19. Report n, units, and mean. If one more student reads 11 minutes, find the new mean.
- Current unit
Reading times in minutes are 7, 8, 8, 9, 10, 19. Find the median and mean. Explain the difference in this set.
Answers and reasoning
Reveal the teacher answer key
- 35 cm²
A = bh/2 = 14 × 5 ÷ 2 = 35. Two such triangles make a parallelogram.
- Group: class; attribute: sleep duration; units: minutes.
Look for a collection of data and anticipated variation; identify the population and variable.
- Center near 17/2 min; range 9 min; roughly symmetric; no isolated extreme
The values balance around the middle. Range = 13 - 4.
- n = 6; minutes; mean 61/6 min; new mean 72/7 min
Sum = 61; mean = 61 ÷ 6 = 61/6. New sum = 72; divide by 7.
- Median 17/2 min; mean 61/6 min; the high value pulls the mean upward
6 ordered values: average positions 3 and 4: (8 + 9) ÷ 2 = 17/2.