3D-Printing Club: Prototype Data Displays

Build and check displays of part measurements and printing times.

Connector Lengths

Use the dot plot for questions 1–4. Each X represents one printed connector.

Sofia copied the measurements from the dot plot but left out one connector: 8, 8.5, 8.5, 9, 9, 10, 10.5, 10.5, 12.

What measurement is missing? mm

A recheck shows that one connector recorded as 10.5 mm is actually 10 mm. How should the club correct the plot?

A. Move one X from 10.5 mm to 10 mm.B. Move one X from 10 mm to 10.5 mm.C. Move both Xs at 10.5 mm to 10 mm.D. Add one X at 10 mm without removing an X.

Use the original plot. A model needs connectors from 8.5 mm through 9 mm long, including both endpoints.

How many connectors meet this requirement? connectors

The club redraws the original plot on an axis from 8 to 12 mm. Which equally spaced tick marks allow every measurement to be placed exactly on a tick?

A. Place tick marks every 1 mm.B. Place tick marks every 0.5 mm.C. Place tick marks every 4 mm.D. Place tick marks every 2 mm.

Material and Printing Time

Build or read each histogram. An interval includes its left endpoint but not its right endpoint.

Twelve small models use these masses of filament, in grams: 4, 6, 7, 9, 10, 10, 13, 16, 18, 19, 22, 24.
Draw a histogram with intervals 0–5, 5–10, 10–15, 15–20, and 20–25 grams. Label the horizontal axis “Filament mass (g)” and the vertical axis “Models.” Show a numbered frequency scale and touching bars.

Use the printing-time histogram. The club reserves a longer printing session for every job that takes at least 60 minutes.

How many jobs need a longer session? jobs

The club redraws the printing-time histogram using intervals 0–40, 40–80, and 80–120 minutes. What should the three bar heights be, from left to right?

A. The heights should be 7, 0, and 5.B. The heights should be 5, 4, and 1.C. The heights should be 2, 5, and 5.D. The heights should be 7, 4, and 1.

Before redrawing the printing-time histogram with 40-minute intervals, Lena wants to save evidence that no jobs took from 40 to less than 60 minutes. Will the new histogram still show that empty interval clearly? Explain your reasoning.

Model Heights

Use the median-of-halves method for quartiles: find the median, then find the median of each half of the ordered data.

The club prints eight spacer models with these heights, in millimeters: 12, 14, 16, 18, 20, 22, 24, 28.
Draw a box plot on an axis from 10 to 30 mm, marked every 1 mm. Include both whiskers, the box, and the median line. Label the axis “Spacer height (mm).”

10.

Use the display-model box plot. Which part represents the middle half of the ordered height measurements?

A. The left whisker from 20 to 28 mm represents it.B. The right whisker from 40 to 48 mm represents it.C. The box from 28 to 40 mm represents it.D. The full span from 20 to 48 mm represents it.

11.

How many millimeters separate the two edges of the display-model box? mm

12.

The club makes a second set of display models by doubling every original height. Select all features of the new box plot.

13.

For another model design, the five-number summary is: minimum 10 mm, first quartile 18 mm, median 22 mm, third quartile 30 mm, maximum 42 mm. Mateo draws the box from 10 to 42 mm, with whisker endpoints at 18 and 30 mm and a median line at 22 mm. Which correction is needed?

A. Move the box to 18–30 mm; move the whisker endpoints to 10 and 42 mm.B. Keep the box at 10–42 mm; move the median line to 30 mm.C. Move the box to 18–22 mm; move the whisker endpoints to 10 and 30 mm.D. Keep the box at 10–42 mm; move the whisker endpoints to 22 and 30 mm.