Math Problem Statement

Select the following statistical question that would describe the data given in the table.

Solution

The question asks for a statistical question that would describe the data given in the table. Let's first analyze the information provided.

The table titled "Average Daily Temperatures in August" includes data for different states with their corresponding high and low temperatures in degrees Fahrenheit (°F):

  • Alabama: High 92°F, Low 68°F
  • Alaska: High 67°F, Low 53°F
  • Florida: High 91°F, Low 75°F
  • Hawaii: High 86°F, Low 72°F
  • Michigan: High 79°F, Low 58°F
  • Tennessee: High 88°F, Low 66°F
  • Texas: High 94°F, Low 71°F

The question provides four answer choices: A. Which state was the coldest to live in? B. What was the average daily high temperature in Alabama? C. What was the highest and lowest temperature in each state in August? D. What was the average daily low temperature in Hawaii?

To determine which option is the correct statistical question:

  • A asks for the coldest state, which is a comparison and not directly related to summarizing the data in a statistical sense.
  • B asks for the average high temperature in Alabama, which involves finding a statistic, but only for one specific state.
  • C asks for the highest and lowest temperatures in each state, which summarizes the data for all states in the table and fits as a statistical description.
  • D asks for the average low temperature in Hawaii, which again is only specific to one state.

Answer:

The best option is C because it is asking for a statistical summary (highest and lowest temperatures) for each state, which effectively describes the data given in the table.

Would you like further details or have any questions?

Here are some additional related questions:

  1. How do you calculate the average temperature for a given state?
  2. What other statistical measures could be derived from this data (e.g., median, range)?
  3. Which state has the greatest difference between high and low temperatures?
  4. How would you describe the distribution of temperatures across all states?
  5. Can you predict the average temperature for another month based on this data?

Tip: When interpreting tables with temperature data, always check if the values given are averages or extremes, as it can change the type of analysis you conduct.

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Math Problem Analysis

Mathematical Concepts

Statistics
Data Interpretation
Temperature Analysis

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8