A meteorologist is studying the monthly rainfall in a section of the Brazillan rainforest. She recorded the monthly rainfall, in inches, for last year. They were: \[ \begin{array}{l} 10.4,10.3,11.7,11.1,8.0,4.4,2.6,1.8,2.5,4.4 \\ 7.3,9.5 \end{array} \] Calculate the following for the data set: Mean: \( \square \) Median: \( \square \) Mode: \( \square \) Range: \( \square \) DONE Intro

To compute the requested statistics from the monthly rainfall data provided, we’ll walk through each calculation step-by-step. First, let's list the data in order for clarity: \[ 1.8, 2.5, 2.6, 4.4, 4.4, 7.3, 8.0, 9.5, 10.3, 10.4, 11.1, 11.7 \] 1. **Mean:** Add all the values together and then divide by the total number of values. \[ \text{Total} = 1.8 + 2.5 + 2.6 + 4.4 + 4.4 + 7.3 + 8.0 + 9.5 + 10.3 + 10.4 + 11.1 + 11.7 = 72.6 \] \[ \text{Mean} = \frac{72.6}{12} \approx 6.05 \] 2. **Median:** The median is the middle number of a sorted list. Here, since we have 12 data points (an even number), we take the average of the two middle numbers (6th and 7th values). \[ \text{Median} = \frac{7.3 + 8.0}{2} = 7.65 \] 3. **Mode:** The mode is the number that appears most frequently in the data set. Here, the value 4.4 appears twice, while all other values appear only once. \[ \text{Mode} = 4.4 \] 4. **Range:** The range is the difference between the highest and lowest values. \[ \text{Range} = 11.7 - 1.8 = 9.9 \] So we have: - Mean: \( 6.05 \) - Median: \( 7.65 \) - Mode: \( 4.4 \) - Range: \( 9.9 \) Now, let’s add some extra flavor to this information! Did you know that rainforests like the Brazilian rainforest play an essential role in regulating the Earth's climate? They're often called the "lungs of the planet" because they absorb large amounts of CO2 and produce oxygen. Each drop of rainfall is crucial to maintaining this incredible ecosystem! To put those monthly rainfall figures into context, it’s interesting to think about how rainfall amounts can influence the local flora and fauna. Higher rainfall months could lead to a burst of growth in plants, attracting diverse wildlife. Conversely, lower rainfall could mean harsher conditions for certain species, showcasing nature's delicate balance!