AZSCI Analyzing & Interpreting Data 1 — Questions and Answers
Question 1: A student records the temperature outside every hour for a day. The data is: 6am-55°F, 7am-57°F, 8am-60°F, 9am-65°F, 10am-70°F. What is the most reasonable prediction for the temperature at 11am?
- 50°F
- 65°F
- 74°F (Correct answer)
- 90°F
Correct answer: 74°F
The data shows a clear trend of the temperature increasing by 2, 3, 5, and then 5 degrees each hour. The rate of warming is accelerating. Continuing this warming trend, a temperature around 74°F or 75°F is the most logical prediction.
Question 2: A graph shows the population of deer in a forest over 20 years. The line on the graph goes up steadily for 10 years and then begins to fluctuate up and down around a certain level. What is the best interpretation of the data after year 10?
- The deer all migrated out of the forest.
- The deer population reached the carrying capacity of the forest. (Correct answer)
- The method for counting deer became inaccurate.
- The deer stopped reproducing.
Correct answer: The deer population reached the carrying capacity of the forest.
When a population reaches its carrying capacity, the environment can no longer support continued growth due to limited resources like food and space. The population size will then tend to fluctuate around this limit.
Question 3: A table shows the results of an experiment testing the effectiveness of three different dish soaps on a greasy pan. Soap A left 2mg of grease, Soap B left 5mg, and Soap C left 1mg. Which conclusion is supported by this data?
- Soap B is the most effective.
- All soaps are equally effective.
- Soap C is the most effective. (Correct answer)
- The experiment did not work.
Correct answer: Soap C is the most effective.
The most effective soap would be the one that removes the most grease, which means it leaves the least amount behind. Soap C left only 1mg, which is the lowest amount, making it the most effective in this test.
Question 4: A student measured the growth of a plant over five weeks and recorded the following heights: Week 1: 2 cm, Week 2: 4 cm, Week 3: 6 cm, Week 4: 8 cm, Week 5: 10 cm. What is the average weekly growth rate?
- 1 cm/week
- 2 cm/week (Correct answer)
- 4 cm/week
- 10 cm/week
Correct answer: 2 cm/week
The plant grows consistently by 2 cm each week (4-2=2, 6-4=2, etc.). Because the rate is constant, the average growth rate is 2 cm/week.
Question 5: A bar chart compares the average rainfall in four different cities. City A: 10 inches, City B: 45 inches, City C: 42 inches, City D: 25 inches. Which statement accurately compares the rainfall in City B and City A?
- City B receives about half the rainfall of City A.
- City B receives slightly more rainfall than City A.
- City B receives more than four times the rainfall of City A. (Correct answer)
- City A and City B receive the same amount of rainfall.
Correct answer: City B receives more than four times the rainfall of City A.
To compare the rainfall, divide the amount in City B (45 inches) by the amount in City A (10 inches). 45 / 10 = 4.5. This means City B receives 4.5 times the rainfall of City A, which is more than four times.
Question 6: An investigation was conducted to see if the color of a bird feeder affects the number of birds that visit. The data showed: Red feeder: 35 visits, Blue feeder: 32 visits, Green feeder: 15 visits. What is a potential source of error that is NOT revealed by the data alone?
- The red feeder had more visits than the green feeder.
- The location of the feeders might have been different. (Correct answer)
- The blue feeder was less popular than the red feeder.
- The green feeder was the least popular.
Correct answer: The location of the feeders might have been different.
The data table only shows the results (number of visits per color). It does not describe the experimental setup. A major source of error could be an uncontrolled variable, such as the location of the feeders. If one feeder was in a better spot, that could explain the results, not the color.
Question 7: A scatter plot shows the relationship between the number of hours students studied for a test and their test scores. The points on the graph generally trend from the bottom left to the top right. What does this pattern suggest?
- There is no relationship between studying and test scores.
- The more students study, the lower their test scores tend to be.
- The more students study, the higher their test scores tend to be. (Correct answer)
- All students who studied received the same score.
Correct answer: The more students study, the higher their test scores tend to be.
A trend from bottom left to top right on a scatter plot indicates a positive correlation. As the value on the x-axis (hours studied) increases, the value on the y-axis (test scores) also tends to increase.
