Data Analysis of Fish Weight: Finding % & # within 1 SD

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In summary, the conversation involved a table showing the weight and number of fish in a pond. The question asked for the percentage of fish with weights between 28 and 45 gm and the number of fish within one standard deviation from the mean. The answers given were 64.67% and 91, and it was suggested to use Chebysheff's Theorem to determine the probabilities associated with the standard deviation.
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Scharles
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This question involves a table...

The weight of 150 fish in a pond are shown in the table below.


Weight of fish (in gm) Number of fish,f
10-19 6
20-24 12
25-29 30
30-34 50
35-39 32
40-59 20

(a) Calculate the percentage of fish with weights between 28 and 45 gm.
(b) Find the number of fish that has the weight within one standard deviation from the mean.

(Given mean and standard deviation are 32.9 and 8.403)

The answers given are 64.67% and 91...
 
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  • #2
Just a quick observation... you can say what the highest possible percentage of fish in a certain range is easily just by adding them up and dividing by the total, but in order to narrow it down you'd need to get your hands dirty. Actually, you can't really tell the probabilities associated with the s.d. without knowing the dist (? or can you?). Maybe try Chebysheff's Theorem.
 

1. What is data analysis for fish weight?

Data analysis for fish weight is the process of collecting, organizing, and interpreting data related to the weight of fish. This can include determining the percentage of fish within a certain weight range and identifying the mean weight of the fish.

2. Why is it important to find the percentage and number within 1 standard deviation?

Finding the percentage and number of fish within 1 standard deviation allows us to understand the distribution of fish weight and identify any potential outliers. This information can help us make informed decisions about managing fish populations and assessing the health of aquatic ecosystems.

3. How is the mean weight of fish calculated in data analysis?

The mean weight of fish is calculated by adding up all of the individual weights and dividing by the total number of fish. This provides an average weight for the entire population of fish.

4. What is the significance of 1 standard deviation in data analysis of fish weight?

1 standard deviation is a measure of variability in the data. In this case, it represents the range of weights within which the majority of fish fall. By identifying the percentage and number of fish within 1 standard deviation, we can better understand the distribution of fish weight and identify any potential trends or patterns.

5. How can data analysis of fish weight be used in fisheries management?

Data analysis of fish weight can provide valuable information for fisheries management. By identifying the percentage of fish within a certain weight range, managers can make decisions about sustainable fishing practices and monitor the health of fish populations. Additionally, changes in fish weight over time can indicate changes in the ecosystem and inform management strategies.

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