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Unit 09 · Statistics and Data DisplaysUnit Test

Day 135Unit 9 Test

DirectionsQuestionsAnswer keyPDF packet ↗
Standards 6.G.A.16.G.A.26.G.A.46.SP.A.16.SP.A.26.SP.A.36.SP.B.5a6.SP.B.5b6.SP.B.5c6.SP.B.5d6.SP.B.4
LEARNING TARGET

I can apply the skills taught so far, show my reasoning, and check my answers.

01 · DIRECTIONS

Show what you know

Questions 1–4 review Unit 8 (20%). The remaining 16 questions assess the current unit. Show your work, simplify exact answers, label units, and explain when asked.

20 questions5 points each · 100 total
02 · ASSESSMENT

Unit Test

Begin with the review questions, then continue through the current-unit questions.

  1. Previous unit review

    A parallelogram has base 5 m and perpendicular height 7 m. Sketch how it can be rearranged into a rectangle and find its area.

  2. Previous unit review

    A rectangular prism has edges 2, 3 1/2, and 4 cm. Sketch it and find its volume.

  3. Previous unit review

    Draw a net for a closed 2 × 3 × 6 cm rectangular prism. Label the six faces and calculate total area.

  4. Previous unit review

    An L-shaped garden is a 10 m by 8 m rectangle with an 6 m by 4 m corner rectangle removed. Sketch and find the garden area.

  5. Current unit

    Is “What are the heights of the plants in our garden?” statistical? Explain.

  6. Current unit

    Reading times in minutes are 2, 3, 3, 4, 4, 5. Describe a typical value, range, shape, and any striking value.

  7. Current unit

    Reading times in minutes are 8, 9, 9, 10, 10, 11. Report n, units, and mean.

  8. Current unit

    Reading times in minutes are 8, 12, 12, 16, 16, 20. Find the median. Show the middle positions.

  9. Current unit

    Reading times in minutes are 8, 11, 11, 14, 14, 17. Find Q1, Q3, IQR, and range.

  10. Current unit

    Reading times in minutes are 6, 10, 10, 14, 14, 18. Calculate the mean and MAD. Show all absolute deviations.

  11. Current unit

    Reading times in minutes are 4, 10, 10, 16, 16, 22. Choose a center and matching variability measure. Calculate both and justify your choice.

  12. Current unit

    Reading times in minutes are 7, 13, 13, 19, 19, 25. Draw a labeled dot plot. Check the number of dots.

  13. Current unit

    Daily reading times in minutes: 9, 12, 17, 10, 17, 3, 7, 1, 13, 2. Draw a histogram using bins 0–4, 5–9, 10–14, and 15–19. Label axes.

  14. Current unit

    Reading times in minutes are 6, 7, 7, 8, 9, 18. Find the five-number summary and draw a labeled box plot. State the IQR.

  15. Current unit

    Reading times (min): Group A [8, 9, 9, 10, 11, 20], Group B [10, 11, 11, 12, 13, 22]. Compare median and IQR. Which group reads longer typically? Which is more consistent?

  16. Current unit

    Reading times in minutes are 3, 4, 4, 5, 6, 15. Write a summary with count, attribute, units, center, variability, shape, and a justified choice of measures.

  17. Current unit

    A survey asks “Is our school nice?” Improve it to collect numerical data with expected variation.

  18. Current unit

    Reading times in minutes are 3, 4, 4, 5, 6, 15. Describe a typical value, range, shape, and any striking value.

  19. Current unit

    Reading times in minutes are 2, 3, 3, 4, 5, 14. Report n, units, and mean. If one more student reads 6 minutes, find the new mean.

  20. Current unit

    Reading times in minutes are 2, 3, 3, 4, 5, 14. Find the median and mean. Explain the difference in this set.

03 · CHECK

Answers and reasoning

Reveal the teacher answer key
  1. 35 m²

    Cut and shift a corner; A = bh = 5 × 7 = 35.

  2. 28 cm³

    B = 2 × 7/2 = 7 cm²; V = B × 4 = 28 cm³.

  3. 2 faces each of 2×3, 2×6, 3×6; 72 cm²

    Add 2(6) + 2(12) + 2(18) = 72.

  4. 56 m²

    Outer area 80 minus cutout 24 = 56.

  5. Yes; plant heights vary.

    Look for a collection of data and anticipated variation; identify the population and variable.

  6. Center near 7/2 min; range 3 min; roughly symmetric; no isolated extreme

    The values balance around the middle. Range = 5 - 2.

  7. n = 6; minutes; mean 19/2 min

    Sum = 57; mean = 57 ÷ 6 = 19/2.

  8. Median 14 min

    6 ordered values: average positions 3 and 4: (12 + 16) ÷ 2 = 14.

  9. Q1 11, Q3 14; IQR 3 min; range 9 min

    Lower half [8, 11, 11] has median 11; upper half [14, 14, 17] has median 14. Subtract Q1 from Q3.

  10. Mean 12 min; MAD 10/3 min

    Distances: 6, 2, 2, 2, 2, 6; sum 20; divide by 6 = 10/3.

  11. Mean 13 min and MAD 5 min; roughly symmetric data

    Mean = 13, median = 13, IQR = 16 - 10 = 6, MAD = 5. Accept another justified choice tied to shape and purpose.

  12. 7: 1 dot; 13: 2 dots; 19: 2 dots; 25: 1 dot; n = 6

    Each observation contributes one dot; stack repeated values at their number-line position.

  13. Frequencies 3, 2, 3, 2

    Count every value once. Bars touch and have equal width; horizontal axis is minutes, vertical axis is frequency.

  14. (6, 7, 15/2, 9, 18); IQR 2 min

    Box runs from 7 to 9, median line at 15/2, whiskers to 6 and 18.

  15. A median 19/2, B median 23/2 min; both IQR 2 min. B is typically 2 min higher; equal middle-half variability.

    Adding 2 shifts all values and the median by 2, but does not change Q3 - Q1.

  16. 6 observations of reading time in minutes. Median 9/2 min, IQR 2 min; right-skewed with a high value 15 min, so median/IQR resist that value.

    Calculate the center and spread before interpreting them in context. Other accurate, justified summaries are acceptable.

  17. Example: On a 1 to 5 scale, how do students in our class rate the school library? Ratings vary among students; the numerical scale must be defined.

    Look for a collection of data and anticipated variation; identify the population and variable.

  18. Center near 9/2 min; range 12 min; right-skewed with high value 15 min

    The values cluster low with a long high tail. Range = 15 - 3.

  19. n = 6; minutes; mean 31/6 min; new mean 37/7 min

    Sum = 31; mean = 31 ÷ 6 = 31/6. New sum = 37; divide by 7.

  20. Median 7/2 min; mean 31/6 min; the high value pulls the mean upward

    6 ordered values: average positions 3 and 4: (3 + 4) ÷ 2 = 7/2.

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