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.
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 .
The median weight is the weight of the th fish.
Let's calculate the cumulative frequencies:
- 0.5-0.6: 4
- 0.5-0.8:
- 0.5-1.0:
- 0.5-1.2:
- 0.5-1.4:
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.