Cloud Seeding The “Florida Area Cumulus Experiment” was conducted by using silver iodide to seed clouds with the objective of increasing rainfall. For the purposes of this exercise, let the daily amounts of rainfall be represented by units of rnfl. (The actual rainfall amounts are in or )
Find the value of the following statistics and include appropriate units based on rnfl as the unit of measurement.
15.53 7.27 7.45 10.39 4.70 4.50 3.44 5.70 8.24 7.30 4.05 4.46


a. mean
b. median

Verified step by step guidance

1. Step 1: To calculate the mean, sum all the rainfall values provided in the dataset. Use the formula for the mean: $\mathrm{Mean}=\frac{\sum x}{}$_in, where $\sum x$_i is the sum of all rainfall values and $n$ is the total number of data points.
2. Step 2: Add all the rainfall values: 15.53 + 7.27 + 7.45 + 10.39 + 4.70 + 4.50 + 3.44 + 5.70 + 8.24 + 7.30 + 4.05 + 4.46. This gives the total rainfall.
3. Step 3: Divide the total rainfall by the number of data points (12 in this case) to find the mean. Ensure the result is expressed in the same unit as the data, which is 'rnfl'.
4. Step 4: To calculate the median, first arrange the rainfall values in ascending order. The ordered dataset is: 3.44, 4.05, 4.46, 4.50, 4.70, 5.70, 7.27, 7.30, 7.45, 8.24, 10.39, 15.53.
5. Step 5: Since there are 12 data points (an even number), the median is the average of the 6th and 7th values in the ordered dataset. Identify these two values (5.70 and 7.27), calculate their average, and express the result in 'rnfl'.

Key Concepts

Mean

The mean, or average, is calculated by summing all the values in a dataset and then dividing by the number of values. It provides a central value that represents the dataset as a whole. In the context of rainfall amounts, the mean gives an indication of the typical daily rainfall over the observed period.

Median

The median is the middle value of a dataset when it is ordered from least to greatest. If there is an even number of observations, the median is the average of the two middle values. This measure is particularly useful for understanding the central tendency of rainfall data, as it is less affected by extreme values compared to the mean.

Units of Measurement

Units of measurement are standard quantities used to express and compare values. In this case, rainfall amounts are represented in 'rnfl' units, which must be consistently applied when calculating statistics like the mean and median. Understanding the units is crucial for interpreting the results accurately and ensuring meaningful comparisons.