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Code Camp: Progress Patterns

Describe project data using center, spread, and shape.

Completed Features

The table summarizes completed app features for 14 teams. Each team contributes one record. Use it for Questions 1–5.

App Features Completed
Features completedNumber of teams
21
43
66
83
101
1.
What does the tallest stack represent if these data are shown in a dot plot?
  • A. Three teams completed eight features each.
  • B. Six teams completed six features each.
  • C. Ten teams completed one feature each.
  • D. Four teams completed three features each.
2.
Use 6 features as the center. Count teams whose totals are no more than 2 features away from that center.

How many teams meet this condition?   teams

3.
Which statement distinguishes the overall spread from the main concentration?
  • A. Totals span 2–10 features, with equal counts at every total.
  • B. Totals span 2–10 features, with most teams completing 4–8.
  • C. Totals span 1–6 features, with most teams completing 2–4.
  • D. Totals span 4–8 features, with every team in that interval.
4.
Classify each description by the feature of the distribution it directly describes.
The median is 6 completed features.Frequencies match on opposite sides of 6 features.The largest and smallest totals are 8 features apart.The frequencies rise to one peak, then fall.
CenterSpreadShape
5.
A software error saves every team's record twice. How does the distribution of feature totals compare with the original?
  • A. The median, range, and overall shape all stay the same.
  • B. The range doubles, but the median and shape stay the same.
  • C. The median and range double, but the shape stays the same.
  • D. The median doubles, but the range and shape stay the same.

Progress Toward Launch

A different group of 20 teams reports the percent of project tasks completed at one checkpoint. Each interval includes its lower endpoint but not its upper endpoint; the final interval also includes 100%. Use the histogram for Questions 6–9.

012345678020406080100Project tasks completed (%)Number of teams
6.
Which description correctly connects the main concentration and the tail?
  • A. Values are evenly distributed, with no main concentration.
  • B. Most values are central, with matching tails on both sides.
  • C. Most values are high, with a tail toward lower percents.
  • D. Most values are low, with a tail toward higher percents.
7.
Teams that have completed at least 60% of their tasks may begin planning their launch demonstrations.

How many teams may begin planning?   teams

8.
The camp changes its report to show percent of tasks remaining: 100 minus percent completed. What happens to the overall pattern?
  • A. Most values become low, with a tail toward higher percents.
  • B. Values become evenly spread across the five intervals.
  • C. Most values remain high, with a tail toward lower percents.
  • D. Values become symmetric around the middle interval.
9.
A camper says, “The bars rise from left to right, so this histogram proves that teams completed more tasks each day.” Explain why the histogram does not prove this claim. What does it show instead?

Checking the Debugging Log

Nine teams record how many test runs they need to fix a project error. Use the original log for Question 10. For Questions 11–13, use the stated correction.

Original Debugging Log
Test runs neededNumber of teams
11
22
32
41
51
81
171
10.
Which summary accurately describes the original distribution?
  • A. The median is 5, the range is 17, and the tail extends toward lower values.
  • B. The median is 3, the range is 16, and the tail extends toward lower values.
  • C. The median is 3, the range is 16, and the tail extends toward higher values.
  • D. The median is 5, the range is 17, and the tail extends toward higher values.
The instructor checks the log. The entry of 17 was a typing error: that team needed 1 test run. No other record changes.
11.

What is the range after the correction?   test runs

12.
Order the corrected records to locate the middle team's value.

What is the median after the correction?   test runs

13.
How does the correction affect the distribution's overall shape?
  • A. It creates a longer tail toward the lower numbers of runs.
  • B. It creates matching frequencies on both sides of the median.
  • C. It creates equal frequencies at every recorded number of runs.
  • D. It shortens the high-value tail, but a high-value tail remains.