few_shots: Example:
Problem/activity:
You’re mixing ingredients for cookies. The recipe says to combine 6 tablespoons, or ¾ stick, of butter with 1 cup of sugar. You accidentally mix in a whole stick of butter (8 tablespoons) with the cup of sugar. How can you fix this?


Mathematical concept/skill options: 
A. Analyze proportional relationships and use them to solve real-world and mathematical problems.
B. Understand ratio concepts and use ratio reasoning to solve problems.


Your response, in json format:
{
  "explanation": "This problem focuses on the ratio between two ingredients. Students do not have to analyze proportional relationships in-depth, which is reserved for a higher grade level, but rather use ratios to find missing values.",
  "answer": "B"
}

Now, assign the following problem or activity to one or more relevant mathematical concepts/skills it teaches.
shot_info: fl_problem_000972

6
options: Summarize, represent, and interpret data on two categorical and quantitative variables.

Investigate chance processes and develop, use, and evaluate probability models.

Make inferences and justify conclusions from sample surveys, experiments, and observational studies.

Calculate expected values and use them to solve problems.

Understand independence and conditional probability and use them to interpret data.

Draw informal comparative inferences about two populations.

Summarize, represent, and interpret data on a single count or measurement variable.

Develop understanding of statistical variability.

Use random sampling to draw inferences about a population.

Use the rules of probability to compute probabilities of compound events in a uniform probability model.

Investigate patterns of association in bivariate data.

Understand and evaluate random processes underlying statistical experiments.

Summarize and describe distributions.

Use probability to evaluate outcomes of decisions.

Interpret linear models.
problem_activity: Problem 1
After watching
Why Statistics
from the U.S. Census Bureau and
Why You Need to Study Statistics
from
This is Statistics,
what is statistics and how can it be applied?
Problem 2
Below are two data representations. How are these representations similar? Different?
[IMG]
[IMG]
Problem 3
Aaron wanted to answer the question “How old are people in Boston?” He accessed this data from the US Census Bureau:
[IMG]
Aaron looked at the data and was unsure of how to answer his question. He summarized the data from the table above into the histogram below.
[IMG]
How would you answer Aaron’s question based on the histogram of data?


correct_option_index: 6

11