In a wildlife preserve, a random sample of the population of 150 raccoons was caught and weighed. The result, given in pounds, were 17,19,20,21,23,27,28,28,28 and 32. Jean made the qualitative statement, "The average weight of the raccoon population is 25 pounds." Is her statement reasonable? Explain.
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Yes. 25 pounds is close to the middle of these weights.
25 is the median so yes
To determine whether Jean's statement is reasonable or not, we need to calculate the average weight of the sample and compare it to the given average weight of 25 pounds.
Step 1: Calculate the sum of all weights in the sample:
17 + 19 + 20 + 21 + 23 + 27 + 28 + 28 + 28 + 32 = 243 pounds
Step 2: Calculate the average by dividing the sum by the number of data points in the sample:
243 pounds / 10 = 24.3 pounds
Step 3: Compare the calculated average weight (24.3 pounds) with the given average weight (25 pounds).
Considering that the calculated average weight of the sample is close to the given average weight (24.3 pounds vs. 25 pounds), we can conclude that Jean's statement is reasonable.
Therefore, we can say that her statement of "The average weight of the raccoon population is 25 pounds" is reasonable based on the given sample.
To determine whether Jean's statement is reasonable, we need to calculate the average weight of the raccoon population based on the given data and compare it with her statement. Here's how you can do it:
1. Add up all the weights: 17 + 19 + 20 + 21 + 23 + 27 + 28 + 28 + 28 + 32 = 243.
2. Divide the total weight by the number of raccoons in the sample: 243 / 10 = 24.3.
The average weight of the raccoons in the sample is 24.3 pounds.
Since Jean's statement that the average weight of the raccoon population is 25 pounds is quite close to the calculated average of 24.3 pounds, her statement is reasonable. However, it's important to note that this conclusion is based on a sample of 150 raccoons, and it's possible that the actual average weight of the entire raccoon population could be different. To have a more accurate estimation, a larger sample size or a complete population survey would be required.