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Apply data across unfamiliar problems

Apply data across unfamiliar problems: original cases with explanations after your first response.

Paper packet. Every task here also exists on screen, where it is checked automatically; answers written on paper are not assessed by Nydus. When you are back at a device, enter your answers there.

1. What you will learn

Identify totals, denominators, units and interval boundaries in each display description. Compute the requested derived quantity before comparing categories or years.

2. Practice

A frequency table gives values 1,2,3 with frequencies 4,6,10. What is the mean?

Answer:

3. Practice

A histogram has counts 5,12,8,5 in intervals [0,10),[10,20),[20,30),[30,40). What percent of observations are at least 20? Enter a fraction or decimal.

Answer:

4. Practice

A line chart reports sales 80,100,90,135 in successive quarters. What is the percentage increase from the third to the fourth quarter?

Answer:

5. Practice

A circle chart assigns 72 degrees to travel expenses. Total expenses are 3500. How much is travel?

Answer:

6. Practice

A boxplot has minimum 2, Q1=5, median=9, Q3=14 and maximum 30. What is its interquartile range?

Answer:

7. Practice

Two bars show 45 and 75 employees in two offices. What fraction of all employees are in the larger office?

Answer:

8. Practice

A scatterplot's fitted line is y=2x+5. At x=7, the observed value is y=16. What is observed minus predicted?

Answer:

9. Practice

A cumulative table reports 8 observations below 10, 23 below 20, and 40 below 30. How many observations are in [10,20)?

Answer:

10. Practice

A table shows revenue 250 and cost 200 in year A, then revenue 300 and cost 225 in B. By what percent did profit increase?

Answer:

11. Practice

A survey chart reports 35 percent choosing X, 25 percent choosing Y and 40 percent choosing Z. There are 240 responses, each choosing exactly one. How many more chose Z than Y?

Answer:

12. Practice

A table gives distances 24,36 and 60 km and times 2,3 and 4 hours for three trips. What is the overall average speed in km/h? Enter a fraction.

Answer:

13. Practice

Two programs report success counts: A has 18 of 20 in an easy group and 8 of 20 in a hard group; B has 80 of 100 in the easy group and 3 of 10 in the hard group. Although A has a higher rate within each group, by how many percentage points does B's overall rate exceed A's? Enter an exact fraction.

Answer:

14. What you can do now

Check whether the question asks about counts, rates, profit or percent change; similar-looking columns can require different denominators.