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you counted 4 quadrats with the following number of plants: 5, 7, 6, an…

Question

you counted 4 quadrats with the following number of plants: 5, 7, 6, and 8. first step: find the average number of plants per quadrat. 4 points 6.5 second step: find the estimated population if there are 100 quadrats in the field. 2 points your answer i

Explanation:

Step1: Calculate the average number of plants per quadrat

The formula for the average (mean) is \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\), where \(x_{i}\) are the data points and \(n\) is the number of data points. Here, \(x_1 = 5\), \(x_2=7\), \(x_3 = 6\), \(x_4=8\), and \(n = 4\).

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Step2: Estimate the population for 100 quadrats

If the average number of plants per quadrat is \(\bar{x}=6.5\), and the number of quadrats \(N = 100\), then the estimated population \(P\) is given by \(P=\bar{x}\times N\)

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Answer:

650