PyQt5 demo with an embedded matplotlib plot. See https://eli.thegreenplace.net/2009/01/20/matplotlib-with-pyqt-guis/ for a description of an older version of this demo.

qt_mpl_bars.py

"""
This demo demonstrates how to embed a matplotlib (mpl) plot 
into a PyQt5 GUI application, including:

* Using the navigation toolbar
* Adding data to the plot
* Dynamically modifying the plot's properties
* Processing mpl events
* Saving the plot to a file from a menu

The main goal is to serve as a basis for developing rich PyQt GUI
applications featuring mpl plots (using the mpl OO API).

Eli Bendersky (eliben@gmail.com), updated by Ondrej Holesovsky.
License: this code is in the public domain
Last modified: 23.12.2019
"""
import sys, os, random
from PyQt5.QtCore import *
from PyQt5.QtGui import *
from PyQt5.QtWidgets import *

import matplotlib
from matplotlib.backends.backend_qt5agg import FigureCanvasQTAgg as FigureCanvas
from matplotlib.backends.backend_qt5agg import NavigationToolbar2QT as NavigationToolbar
from matplotlib.figure import Figure


class AppForm(QMainWindow):
    def __init__(self, parent=None):
        QMainWindow.__init__(self, parent)
        self.setWindowTitle('Demo: PyQt with matplotlib')

        self.create_menu()
        self.create_main_frame()
        self.create_status_bar()

        self.textbox.setText('1 2 3 4')
        self.on_draw()

    def save_plot(self):
        file_choices = "PNG (*.png)|*.png"
        
        path, ext = QFileDialog.getSaveFileName(self, 
                        'Save file', '', 
                        file_choices)
        path = path.encode('utf-8')
        if not path[-4:] == file_choices[-4:].encode('utf-8'):
            path += file_choices[-4:].encode('utf-8')
        print(path)
        if path:
            self.canvas.print_figure(path.decode(), dpi=self.dpi)
            self.statusBar().showMessage('Saved to %s' % path, 2000)
    
    def on_about(self):
        msg = """ A demo of using PyQt with matplotlib:
        
         * Use the matplotlib navigation bar
         * Add values to the text box and press Enter (or click "Draw")
         * Show or hide the grid
         * Drag the slider to modify the width of the bars
         * Save the plot to a file using the File menu
         * Click on a bar to receive an informative message
        """
        QMessageBox.about(self, "About the demo", msg.strip())
    
    def on_pick(self, event):
        # The event received here is of the type
        # matplotlib.backend_bases.PickEvent
        #
        # It carries lots of information, of which we're using
        # only a small amount here.
        # 
        box_points = event.artist.get_bbox().get_points()
        msg = "You've clicked on a bar with coords:\n %s" % box_points
        
        QMessageBox.information(self, "Click!", msg)
    
    def on_draw(self):
        """ Redraws the figure
        """
        str = self.textbox.text().encode('utf-8')
        self.data = [int(s) for s in str.split()]
        
        x = range(len(self.data))

        # clear the axes and redraw the plot anew
        #
        self.axes.clear()        
        self.axes.grid(self.grid_cb.isChecked())
        
        self.axes.bar(
            x=x, 
            height=self.data, 
            width=self.slider.value() / 100.0, 
            align='center', 
            alpha=0.44,
            picker=5)
        
        self.canvas.draw()
    
    def create_main_frame(self):
        self.main_frame = QWidget()
        
        # Create the mpl Figure and FigCanvas objects. 
        # 5x4 inches, 100 dots-per-inch
        #
        self.dpi = 100
        self.fig = Figure((5.0, 4.0), dpi=self.dpi)
        self.canvas = FigureCanvas(self.fig)
        self.canvas.setParent(self.main_frame)
        
        # Since we have only one plot, we can use add_axes 
        # instead of add_subplot, but then the subplot
        # configuration tool in the navigation toolbar wouldn't
        # work.
        #
        self.axes = self.fig.add_subplot(111)
        
        # Bind the 'pick' event for clicking on one of the bars
        #
        self.canvas.mpl_connect('pick_event', self.on_pick)
        
        # Create the navigation toolbar, tied to the canvas
        #
        self.mpl_toolbar = NavigationToolbar(self.canvas, self.main_frame)
        
        # Other GUI controls
        # 
        self.textbox = QLineEdit()
        self.textbox.setMinimumWidth(200)
        self.textbox.editingFinished.connect(self.on_draw)
        
        self.draw_button = QPushButton("&Draw")
        self.draw_button.clicked.connect(self.on_draw)
        
        self.grid_cb = QCheckBox("Show &Grid")
        self.grid_cb.setChecked(False)
        self.grid_cb.stateChanged.connect(self.on_draw)
        
        slider_label = QLabel('Bar width (%):')
        self.slider = QSlider(Qt.Horizontal)
        self.slider.setRange(1, 100)
        self.slider.setValue(20)
        self.slider.setTracking(True)
        self.slider.setTickPosition(QSlider.TicksBothSides)
        self.slider.valueChanged.connect(self.on_draw)
        
        #
        # Layout with box sizers
        # 
        hbox = QHBoxLayout()
        
        for w in [  self.textbox, self.draw_button, self.grid_cb,
                    slider_label, self.slider]:
            hbox.addWidget(w)
            hbox.setAlignment(w, Qt.AlignVCenter)
        
        vbox = QVBoxLayout()
        vbox.addWidget(self.canvas)
        vbox.addWidget(self.mpl_toolbar)
        vbox.addLayout(hbox)
        
        self.main_frame.setLayout(vbox)
        self.setCentralWidget(self.main_frame)
    
    def create_status_bar(self):
        self.status_text = QLabel("This is a demo")
        self.statusBar().addWidget(self.status_text, 1)
        
    def create_menu(self):        
        self.file_menu = self.menuBar().addMenu("&File")
        
        load_file_action = self.create_action("&Save plot",
            shortcut="Ctrl+S", slot=self.save_plot, 
            tip="Save the plot")
        quit_action = self.create_action("&Quit", slot=self.close, 
            shortcut="Ctrl+Q", tip="Close the application")
        
        self.add_actions(self.file_menu, 
            (load_file_action, None, quit_action))
        
        self.help_menu = self.menuBar().addMenu("&Help")
        about_action = self.create_action("&About", 
            shortcut='F1', slot=self.on_about, 
            tip='About the demo')
        
        self.add_actions(self.help_menu, (about_action,))

    def add_actions(self, target, actions):
        for action in actions:
            if action is None:
                target.addSeparator()
            else:
                target.addAction(action)

    def create_action(  self, text, slot=None, shortcut=None, 
                        icon=None, tip=None, checkable=False):
        action = QAction(text, self)
        if icon is not None:
            action.setIcon(QIcon(":/%s.png" % icon))
        if shortcut is not None:
            action.setShortcut(shortcut)
        if tip is not None:
            action.setToolTip(tip)
            action.setStatusTip(tip)
        if slot is not None:
            action.triggered.connect(slot)
        if checkable:
            action.setCheckable(True)
        return action


def main():
    app = QApplication(sys.argv)
    form = AppForm()
    form.show()
    app.exec_()


if __name__ == "__main__":
    main()

This has been immensely helpful to my project.