The problem is about analyzing the weight of a sample of fish. We are given the following data in a table: - Weight ranges in kg: 0.5-0.6, 0.7-0.8, 0.9-1.0, 1.1-1.2, 1.3-1.4 - Corresponding frequencies (number of fish in each weight range): 4, 17, 32, 33, 14 We need to find the median.

Probability and StatisticsMedianFrequency DistributionData AnalysisStatistics
2025/4/27

1. Problem Description

The problem is about analyzing the weight of a sample of fish. We are given the following data in a table:
- Weight ranges in kg: 0.5-0.6, 0.7-0.8, 0.9-1.0, 1.1-1.2, 1.3-1.4
- Corresponding frequencies (number of fish in each weight range): 4, 17, 32, 33, 14
We need to find the median.

2. Solution Steps

To find the median, we first need to calculate the cumulative frequencies. The total number of fish is 4+17+32+33+14=1004 + 17 + 32 + 33 + 14 = 100.
The median weight is the weight of the 1002=50\frac{100}{2} = 50th fish.
Let's calculate the cumulative frequencies:
- 0.5-0.6: 4
- 0.5-0.8: 4+17=214 + 17 = 21
- 0.5-1.0: 21+32=5321 + 32 = 53
- 0.5-1.2: 53+33=8653 + 33 = 86
- 0.5-1.4: 86+14=10086 + 14 = 100
The 50th fish falls within the 0.9-1.0 weight range.

3. Final Answer

The median weight range is 0.9-1.0 kg.

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