Graphs & Data Interpretation 2 — Advanced Math

Questions in this quiz (7)

1. Consider this set of numbers $${5,7,7,9,12,12,12,15}$$. What is the mode of this set?

   • $$7$$
   • $$9$$
   • $$12$$
   • $$15$$

2. If the set of numbers $$3,5,5,8,11$$ had the number $$2$$ added to it, what would change?I. The set's meanII. The set's modeIII. The set's median

   • $$I$$ Only
   • $$I, II$$
   • $$I, III$$
   • $$III$$ Only

3. Compare the ranges and standard deviations of Set $$C$$ and Set $$D$$.Set $$C$$: $${2,5,7,9,11}$$Set $$D$$: $${2,20,55,120,210}$$Which of the following is true?

   • Both sets have the same range, but Set C has the larger standard deviation.
   • Set $$D$$ has the larger range, but Set $$C$$ has the larger standard deviation.
   • Set $$C$$has both the larger range and the larger standard deviation.
   • Set $$D$$ has both the larger range and the larger standard deviation.

4. A scatterplot shows the daily high temperature in $$10$$ different cities and their distance from the coast in miles. A line of best fit is drawn and shows a downward trend, meaning that cities closer to the coast tend to have higher temperatures, while cities farther inland tend to have lower temperatures. Which statement best describes the association between the distance from the coast and the temperature of the cities?

   • As the distance from the coast increases, the temperature tends to increase.
   • As the distance from the coast increases, the temperature tends to decrease.
   • As the distance from the coast decreases, the temperature tends to decrease.
   • There is no association between the distance from the coast and the temperature.

5. For quality inspection, a snack company conducted five different tests. In each test, 300 bags of chips were sampled. The bar graph shows the number of stale bags found in each test. What is the mean number of stale bags across the four tests?

   • $$2$$
   • $$\frac{11}{4}$$
   • $$3$$
   • $$\frac{7}{2}$$

6. A company inspected a random sample of $$250$$ chargers produced in one week. It is estimated that $$9\%$$ of all chargers produced that week are defective, with a margin of error of $$2.4\%$$. Based on the estimate and the margin of error, which conclusion about all chargers produced that week is most appropriate?

   • Exactly $$2.4%$$ of the chargers are defective.
   • It is plausible that between $$6.6%$$ and $$11.4%$$ of the chargers are defective.
   • Exactly $$9%$$ of the chargers are defective.
   • It is plausible that less than $$6.6%$$ of the chargers are defective.

7. A graph shows the relationship between speed and stopping distance. Approximately how many feet greater is the stopping distance at $$60$$ mph than at $$40$$ mph?

   • $$140$$
   • $$160$$
   • $$180$$
   • $$210$$