Questions: Find the mean for the list of inches of rain per month. 1.6, 1.9, 3, 2.1, 5.2 mean = inches (Round to the nearest tenth as needed.)

Solution Steps

To find the mean rainfall, we first calculate the total rainfall over the given months. The data provided is:

\[ x = [1.6, 1.9, 3, 2.1, 5.2] \]

The sum of the rainfall is calculated as follows:

\[ \sum_{i=1}^N x_i = 1.6 + 1.9 + 3 + 2.1 + 5.2 = 13.8 \]

Next, we determine the number of months, \( N \), for which we have rainfall data. In this case, there are 5 months:

\[ N = 5 \]

The mean rainfall \( \mu \) is calculated using the formula:

\[ \mu = \frac{\sum_{i=1}^N x_i}{N} = \frac{13.8}{5} = 2.76 \]

Rounding to the nearest tenth, we find:

\[ \mu \approx 2.8 \]

Final Answer