Math Problem Statement

Find the average temperature change for the 12-day period. Temperature change in degree celsius: 2.6,3.8,7.0,4.5,4.6,7.9,5.0,8.1,4.4,5.3,6.4,5.2

Solution

To find the average temperature change over the 12-day period, sum all the temperature changes and divide by the number of days (12).

Step 1: Sum of temperature changes

2.6+3.8+7.0+4.5+4.6+7.9+5.0+8.1+4.4+5.3+6.4+5.22.6 + 3.8 + 7.0 + 4.5 + 4.6 + 7.9 + 5.0 + 8.1 + 4.4 + 5.3 + 6.4 + 5.2

=64.8= 64.8

Step 2: Calculate the average

Average temperature change=64.812=5.4\text{Average temperature change} = \frac{64.8}{12} = 5.4

Final Answer:

The average temperature change over the 12-day period is 5.4°C.

Would you like me to explain how to calculate the sum in detail or visualize the data?

Here are 5 related questions to explore further:

  1. What is the median temperature change for this data set?
  2. How does the mode of the temperature changes compare to the average?
  3. What is the range of temperature changes over the 12 days?
  4. How would the average change if the highest temperature (8.1°C) were excluded?
  5. Calculate the variance and standard deviation of the temperature changes.

Tip: The average is sensitive to outliers, so analyzing the data's spread can provide more insights into variability.

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Math Problem Analysis

Mathematical Concepts

Statistics
Average (Mean)
Arithmetic Operations

Formulas

Average = (Sum of values) / (Number of values)

Theorems

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Suitable Grade Level

Grades 6-8