读取EXCEL的两列数据,绘制直方图叠加正态曲线,并计算两条曲线的重合面积
时间: 2024-12-10 09:52:05 浏览: 21
要从Excel的两列数据中绘制直方图并叠加正态分布曲线,你需要使用Python的数据分析库如pandas和matplotlib,以及一些统计库如scipy。以下是基本步骤:
1. **导入所需的库**:
```python
import pandas as pd
import matplotlib.pyplot as plt
from scipy.stats import norm
```
2. **读取Excel数据**:
```python
data = pd.read_excel('your_file.xlsx', sheet_name='Sheet1') # 替换为你的文件名和工作表名称
column1_data = data['Column1']
column2_data = data['Column2'] # 假设你有两个列名为Column1和Column2
```
3. **计算直方图**:
```python
fig, axs = plt.subplots(1, 2, figsize=(10, 5))
hist1 = axs[0]..hist(column1_data, bins='auto')
hist2 = axs[1].hist(column2_data, bins=hist1[1]) # 使用相同的bins以保持对比
```
4. **绘制正态曲线**:
```python
mean1, std1 = column1_data.mean(), column1_data.std()
mean2, std2 = column2_data.mean(), column2_data.std()
x = np.linspace(min(column1_data), max(column1_data), 100)
norm_curve1 = norm.pdf(x, mean1, std1)
norm_curve2 = norm.pdf(x, mean2, std2)
axs[0].plot(x, norm_curve1, 'r-', linewidth=2) # 对应第一列
axs[1].plot(x, norm_curve2, 'g-', linewidth=2) # 对应第二列
```
5. **计算并显示重叠面积**:
```python
# 计算每个柱形图的面积,然后相减得到正态曲线覆盖的面积
area_hist1 = sum([bar_width * bar_height for _, bar_height in hist1[0]])
area_norm1 = norm_curve1.sum() * (x[1] - x[0])
area_hist2 = sum([bar_width * bar_height for _, bar_height in hist2[0]])
area_norm2 = norm_curve2.sum() * (x[1] - x[0])
overlap_area = area_hist1 + area_norm1 - (area_hist2 + area_norm2) # 相减得到重叠部分
print(f"两条曲线重合的面积大约是 {overlap_area:.2f}")
```
6. **显示图形**:
```python
plt.show()
```
阅读全文