This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
6^\circ\text{C}$.
Step 1: Identify the data points and determine the range. The given minimum temperatures are: There are 32 data points in total. The minimum temperature is . The maximum temperature is . The range is .
Step 2: Define the six categories. Since the range is and we need six categories, we can define categories with a width of . However, this would result in 7 distinct temperature values (). To fit into exactly six categories, we will group the highest two temperatures together. The categories are: • • • • • •
Step 3: Tally the frequencies for each category. • For : Count occurrences of 7. (4 times) • For : Count occurrences of 8. (3 times) • For : Count occurrences of 9. (5 times) • For : Count occurrences of 10. (7 times) • For : Count occurrences of 11. (5 times) • For : Count occurrences of 12 and 13. (8 times)
Step 4: Complete the frequency distribution table. The total frequency is , which matches the total number of data points.
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Identify the data points and determine the range.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.