41 Pandas读取Excel绘制直方图

2022-12-07  本文已影响0人  Viterbi

41 Pandas读取Excel绘制直方图

直方图(Histogram):
直方图是数值数据分布的精确图形表示,是一个连续变量(定量变量)的概率分布的估计,它是一种条形图。 为了构建直方图,第一步是将值的范围分段,即将整个值的范围分成一系列间隔,然后计算每个间隔中有多少值。

1. 读取数据

波斯顿房价数据集

import pandas as pd
import numpy as np

df = pd.read_excel("./datas/boston-house-prices/housing.xlsx")

df
.dataframe tbody tr th:only-of-type { vertical-align: middle; } <pre><code>.dataframe tbody tr th { vertical-align: top; } .dataframe thead th { text-align: right; } </code></pre>
CRIM ZN INDUS CHAS NOX RM AGE DIS RAD TAX PTRATIO B LSTAT MEDV
0 0.00632 18.0 2.31 0 0.538 6.575 65.2 4.0900 1 296 15.3 396.90 4.98 24.0
1 0.02731 0.0 7.07 0 0.469 6.421 78.9 4.9671 2 242 17.8 396.90 9.14 21.6
2 0.02729 0.0 7.07 0 0.469 7.185 61.1 4.9671 2 242 17.8 392.83 4.03 34.7
3 0.03237 0.0 2.18 0 0.458 6.998 45.8 6.0622 3 222 18.7 394.63 2.94 33.4
4 0.06905 0.0 2.18 0 0.458 7.147 54.2 6.0622 3 222 18.7 396.90 5.33 36.2
... ... ... ... ... ... ... ... ... ... ... ... ... ... ...
501 0.06263 0.0 11.93 0 0.573 6.593 69.1 2.4786 1 273 21.0 391.99 9.67 22.4
502 0.04527 0.0 11.93 0 0.573 6.120 76.7 2.2875 1 273 21.0 396.90 9.08 20.6
503 0.06076 0.0 11.93 0 0.573 6.976 91.0 2.1675 1 273 21.0 396.90 5.64 23.9
504 0.10959 0.0 11.93 0 0.573 6.794 89.3 2.3889 1 273 21.0 393.45 6.48 22.0
505 0.04741 0.0 11.93 0 0.573 6.030 80.8 2.5050 1 273 21.0 396.90 7.88 11.9

506 rows × 14 columns

df.info()

    <class 'pandas.core.frame.DataFrame'>
    RangeIndex: 506 entries, 0 to 505
    Data columns (total 14 columns):
     #   Column   Non-Null Count  Dtype  
    ---  ------   --------------  -----  
     0   CRIM     506 non-null    float64
     1   ZN       506 non-null    float64
     2   INDUS    506 non-null    float64
     3   CHAS     506 non-null    int64  
     4   NOX      506 non-null    float64
     5   RM       506 non-null    float64
     6   AGE      506 non-null    float64
     7   DIS      506 non-null    float64
     8   RAD      506 non-null    int64  
     9   TAX      506 non-null    int64  
     10  PTRATIO  506 non-null    float64
     11  B        506 non-null    float64
     12  LSTAT    506 non-null    float64
     13  MEDV     506 non-null    float64
    dtypes: float64(11), int64(3)
    memory usage: 55.5 KB
    

df["MEDV"]
0      24.0
1      21.6
2      34.7
3      33.4
4      36.2
       ... 
501    22.4
502    20.6
503    23.9
504    22.0
505    11.9
Name: MEDV, Length: 506, dtype: float64

2. 使用matplotlib画直方图

matplotlib直方图文档:https://matplotlib.org/3.2.0/api/_as_gen/matplotlib.pyplot.hist.html

import matplotlib.pyplot as plt
%matplotlib inline

plt.figure(figsize=(12, 5))
plt.hist(df["MEDV"], bins=100)
plt.show()

3. 使用pyecharts画直方图

pyecharts直方图文档:http://gallery.pyecharts.org/#/Bar/bar_histogram numpy直方图文档:https://docs.scipy.org/doc/numpy/reference/generated/numpy.histogram.html

from pyecharts import options as opts
from pyecharts.charts import Bar

# 需要自己计算有多少个间隔、以及每个间隔有多少个值
hist,bin_edges =  np.histogram(df["MEDV"], bins=100)

# 这是每个间隔的分割点
bin_edges
array([ 5.  ,  5.45,  5.9 ,  6.35,  6.8 ,  7.25,  7.7 ,  8.15,  8.6 ,
        9.05,  9.5 ,  9.95, 10.4 , 10.85, 11.3 , 11.75, 12.2 , 12.65,
       13.1 , 13.55, 14.  , 14.45, 14.9 , 15.35, 15.8 , 16.25, 16.7 ,
       17.15, 17.6 , 18.05, 18.5 , 18.95, 19.4 , 19.85, 20.3 , 20.75,
       21.2 , 21.65, 22.1 , 22.55, 23.  , 23.45, 23.9 , 24.35, 24.8 ,
       25.25, 25.7 , 26.15, 26.6 , 27.05, 27.5 , 27.95, 28.4 , 28.85,
       29.3 , 29.75, 30.2 , 30.65, 31.1 , 31.55, 32.  , 32.45, 32.9 ,
       33.35, 33.8 , 34.25, 34.7 , 35.15, 35.6 , 36.05, 36.5 , 36.95,
       37.4 , 37.85, 38.3 , 38.75, 39.2 , 39.65, 40.1 , 40.55, 41.  ,
       41.45, 41.9 , 42.35, 42.8 , 43.25, 43.7 , 44.15, 44.6 , 45.05,
       45.5 , 45.95, 46.4 , 46.85, 47.3 , 47.75, 48.2 , 48.65, 49.1 ,
       49.55, 50.  ])
len(bin_edges)

    101


# 这是间隔的计数
hist


    array([ 2,  1,  1,  0,  5,  2,  1,  6,  3,  0,  3,  3,  5,  3,  4,  6,  3,
            5, 14,  9,  9,  6, 11,  8,  6,  8,  6, 10,  9,  9, 15, 13, 20, 16,
           19, 10, 14, 19, 13, 15, 21, 16,  9, 12, 14,  1,  0,  4,  5,  2,  6,
            5,  5,  4,  3,  6,  2,  3,  4,  3,  4,  3,  6,  2,  1,  1,  5,  3,
            1,  4,  1,  3,  1,  1,  1,  0,  0,  1,  0,  0,  1,  1,  1,  1,  1,
            1,  2,  0,  1,  1,  0,  1,  1,  0,  0,  0,  2,  1,  0, 16],
          dtype=int64)



len(hist)



    100

对bin_edges的解释,为什么是101个?比hist计数多1个?

举例:如果bins是[1, 2, 3, 4],那么会分成3个区间:[1, 2)、[2, 3)、[3, 4]; 其中bins的第一个值是数组的最小值,bins的最后一个元素是数组的最大值

# 注意观察,min是bins的第一个值,max是bins的最后一个元素
df["MEDV"].describe()


    count    506.000000
    mean      22.532806
    std        9.197104
    min        5.000000
    25%       17.025000
    50%       21.200000
    75%       25.000000
    max       50.000000
    Name: MEDV, dtype: float64


# 查看bins每一个值和前一个值的差值,可以看到这是等分的数据
np.diff(bin_edges)


    array([0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45,
           0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45,
           0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45,
           0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45,
           0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45,
           0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45,
           0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45,
           0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45,
           0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45,
           0.45])


# 这些间隔的数目,刚好等于计数hist的数目
len(np.diff(bin_edges))

    100


# pyecharts的直方图使用bar实现
# 取bins[:-1],意思是用每个区间的左边元素作为x轴的值
bar = (
    Bar()
    .add_xaxis([str(x) for x in bin_edges[:-1]])
    .add_yaxis("价格分布", [float(x) for x in hist], category_gap=0)
    .set_global_opts(
        title_opts=opts.TitleOpts(title="波斯顿房价-价格分布-直方图", pos_left="center"),
        legend_opts=opts.LegendOpts(is_show=False)
    )
)

bar.render_notebook()

小作业: 获取你们产品的销量数据、价格数据,提取得到一个一数组,画一个直方图看一下数据分布

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