回答編集履歴
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追記
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*************************************************************************
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【追記】10分間隔に表示する場合
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```Python
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import pandas as pd
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from pandas import Series, DataFrame
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import datetime
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import matplotlib.pyplot as plt
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import matplotlib.dates as mdates
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df = pd.DataFrame([1,1.2,1.3,1.5,2,2.1,2.2,3,3.5,4,4.3,5.5,5.8],
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index=["00:00","00:05","00:10","00:15","00:20","00:25","00:30","00:35","00:40","00:45","00:50","00:55","01:00"])
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df["time"] = pd.to_datetime(df.index, format = "%H:%M")
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df.index = df["time"]
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df = df.drop("time",axis=1)
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plt.plot(df.index, df)
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plt.gca().xaxis.set_major_locator(mdates.MinuteLocator(byminute=range(0,60,10)))
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plt.gca().xaxis.set_major_formatter(mdates.DateFormatter("%H:%M"))
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plt.show()
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```
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*************************************************************************
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インデックスをそのまま使用してはどうでしょうか?
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```Python
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import pandas as pd
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