Cloud Seeding The “Florida Area Cumulus Experiment” was conduc...

Question

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

Accepted Answer

Welcome back, everyone. A study was conducted to analyze the effectiveness of artificial lakes in mitigating drought conditions. The daily water level changes in units of WTR were recorded over several days. Find the following statistics and include appropriate units. #1, mean and number 2, median. So let's begin with the first part of the problem. And let's recall that the mean value is simply the sum of all values given to us divided by the sample size M. So what we want to do is basically add up the daily water level changes, starting with 12.5. We're going to add 14.8. 9.6. 11.2. 13.7. 10.4. 15.3. 14.1. 12.0. 13.2. 10.9. And then we have an additional one, so let's also add the last one, which is 11.7. And now this sum must be divided by the sample size. So we have 123456789, 1011, 12 data points. This means that we're dividing by 12. Now, if we evaluate the numerator, we're going to get 149.4. We're dividing that by 12. We know that our numerator has units of WTR. So our mean value is going to be 12.45 WTR. And that's our first answer to this problem. Let's move on to the second part. We want to identify the median. Now, in order to identify the median, the first step is to arrange the given values in ascending order. So we're going to begin with 9.6. Which is followed by. 10.4, this is the next one. The next one is going to be. 10.9. Followed by. 11.2. Then we have 11.7. Followed by 12.0. Followed by 12.5. Then we have 13.2. Followed by 13.7. And then we have 14.1. Followed by 14.8. And the last one is 15.3. So now it is important to remember that we have an even number of data points, that's 12, right? This means that the median is going to be the average of the two middle values. So we have to exclude the first five values, 12345. Then we have the 6th and the 7th, and then we have another 12345 values, right? So, essentially our median is the average. Of 12.0 and 12.5. So we have to add them up and divided by 2, which gives us 12.25 WTR and that would be our final answer to this problem. Thank you for watching.

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Key Concepts

Mean

Median

Units of Measurement

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