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

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SUMMARY

The discussion focuses on analyzing the weight distribution of 150 fish in a pond, specifically calculating the percentage of fish weighing between 28 and 45 grams and determining how many fish fall within one standard deviation from the mean. The mean weight is established at 32.9 grams with a standard deviation of 8.403 grams. The calculated percentage of fish within the specified weight range is 64.67%, while 91 fish are identified as being within one standard deviation from the mean. Chebyshev's Theorem is suggested as a method to understand probabilities related to standard deviations.

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  • Understanding of basic statistics, including mean and standard deviation
  • Familiarity with Chebyshev's Theorem
  • Ability to interpret frequency distribution tables
  • Knowledge of percentage calculations
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Statisticians, data analysts, biologists studying fish populations, and anyone interested in statistical analysis of biological data.

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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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.
 

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