Question

an area of 100 square miles was divided into 100 quadrants of 1 square mile each in order to determine the population of woodrats in that area. five quadrants were chosen at random and the number of woodrats in each quadrant was 6, 4, 5, 7, and 3. how many woodrats are in the chosen area? 150 300 500 1000

Explanation:

Step1: Calculate the average number of woodrats per quadrant

First, find the sum of the number of woodrats in the 5 quadrants: \(6 + 4 + 5 + 7 + 3 = 25\). Then, calculate the average by dividing the sum by the number of quadrants (5): \(\frac{25}{5} = 5\) woodrats per quadrant on average.

Step2: Estimate the total number of woodrats in the 100 - quadrant area

Since the average number of woodrats per quadrant is 5, and there are 100 quadrants in total, multiply the average by the total number of quadrants: \(5\times100 = 500\).

Answer:

500