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| from manim import *
import numpy as np
class main(Scene):
def construct(self):
chart = BarChart(
values=[0.010,0.015,0.035,0.030,0.010],
y_range=[0,0.050,0.010],
bar_width=1,
x_axis_config={"include_numbers": False,"include_tip":True},
y_axis_config={"include_numbers": False,"include_tip":True},
).to_edge(RIGHT)
ylabel=Text("频率/组距",font_size=20).next_to(chart.get_y_axis(),RIGHT+UP)
xlabel=Text("x",font_size=20).next_to(chart.get_x_axis(),RIGHT+DOWN)
self.add(ylabel,xlabel)
dot_positions = [0.5,1.5, 2.5,3.5, 4.5]
middle_dots=[Dot(chart.coords_to_point(position,0,0)) for position in dot_positions]
c_bar_lbls = chart.get_bar_labels(
color=WHITE, label_constructor=MathTex, font_size=36
)
self.add(chart,c_bar_lbls)
dot_positions = [5, 15, 25, 35, 45]
middle_dots = [Dot(chart.coords_to_point(position/10, 0, 0)) for position in dot_positions]
label_md = [Text(str(point_num),font="Sans Serif",font_size=20).next_to(md, DOWN) for md, point_num in zip(middle_dots, dot_positions)]
self.play(FadeIn(*middle_dots),FadeIn(*label_md))
self.wait()
mdlist=[]
mdTransform=[]
for i,md_input in enumerate(dot_positions):
if i==0:
mdtext=MathTex(f"m_{i+1}={md_input}",color=RED).to_edge(UL)
else:
mdtext=MathTex(f"m_{i+1}={md_input}",color=RED).next_to(mdlist[i-1],DOWN)
mdlist.append(mdtext)
mdTransform.append(FadeTransform(label_md[i],mdlist[i]))
valuelist=[]
valueTransform=[]
for i1,value in enumerate(chart.values):
valuetext=MathTex(f"f_{i1+1}={value}")
if i1==0:
valuetext=MathTex(f"f_{i1+1}={value}",r" \times 10",color=YELLOW).next_to(mdlist[4],DOWN,aligned_edge=LEFT)
else:
valuetext=MathTex(f"f_{i1+1}={value}",r" \times 10",color=YELLOW).next_to(valuelist[i1-1],DOWN,aligned_edge=LEFT)
valuelist.append(valuetext)
valueTransform.append(FadeTransform(c_bar_lbls[i1],valuelist[i1]))
labelGroup=AnimationGroup(mdTransform,valueTransform)
self.play(labelGroup)
self.wait()
hightmost=Circumscribe(chart.bars[2],Rectangle)
self.play(hightmost,Wiggle(valuelist[2]))
self.play(Circumscribe(mdlist[2],Rectangle))
self.wait()
average_formula=MathTex(r"\overline{x} = \sum_{n}^{i=1} ",r"{m_{i}}",r" f_{i} ",r" = {m_1} *f_1+{m_2} *f_2+\dots +{m_n} *f_n").to_edge(LEFT+UP)
average_formula[1].set_color(RED)
average_formula[2].set_color(YELLOW)
self.play(AnimationGroup((FadeTransform(mdlist[i0],average_formula) for i0,mm in enumerate(mdlist)),(FadeTransform(valuelist[i01],average_formula) for i01,mm1 in enumerate(valuelist))))
self.wait()
self.play(FadeOut(average_formula,*middle_dots,*label_md))
self.wait()
sumFrequence1=MathTex(f"f_1+f_2=0.25").to_edge(LEFT+UP)
sumFrequence2=MathTex(f"f_1+f_2+f_3=0.60").next_to(sumFrequence1,DOWN)
self.play(FadeIn(sumFrequence1),FadeIn(sumFrequence2))
fortynumdot=Dot(chart.coords_to_point(2.4,0,0),color=RED)
fdotlabel=Text("b",font_size=25,color=RED).next_to(fortynumdot,DOWN)
self.play(FadeIn(fortynumdot,fdotlabel))
self.wait()
squarepart=Polygon(chart.coords_to_point(2,0,0),chart.coords_to_point(2.4,0,0),chart.coords_to_point(2.4,0.035,0),chart.coords_to_point(2,0.035,0),color=RED_B).align_to(chart.bars[2],LEFT+UP)
self.play(FadeIn(squarepart))
self.wait()
sb=MathTex(r"S_{b} = (b-20)\times 0.035").next_to(sumFrequence2,DOWN,aligned_edge=LEFT)
self.play(FadeIn(sb))
sformula=MathTex(r"\frac{S_{b} + f_{1} +f_{2}}{S_{all}} = P").next_to(sb,DOWN)
self.play(FadeIn(sformula))
sformula1=MathTex(r"\frac{S_{b} + f_{1} +f_{2}}{1} = P").next_to(sb,DOWN)
self.play(FadeTransform(sformula,sformula1))
sformula2=MathTex(r"\frac{S_{b} + f_{1} +f_{2}}{1} = 0.4").next_to(sb,DOWN)
self.play(FadeTransform(sformula1,sformula2))
bfinal=MathTex(r"b\approx 24.28").next_to(sformula2,DOWN)
self.play(FadeIn(bfinal))
self.play(Circumscribe(bfinal,Rectangle))
mediandot=Dot(chart.coords_to_point(2.6,0,0),color=GREEN)
mdotlabel=Text("m",font_size=25,color=GREEN).next_to(mediandot,DOWN)
self.play(FadeIn(mediandot,mdotlabel))
self.wait()
squarepart1=Polygon(chart.coords_to_point(2,0,0),chart.coords_to_point(2.6,0,0),chart.coords_to_point(2.6,0.035,0),chart.coords_to_point(2,0.035,0),color=GREEN).align_to(chart.bars[2],LEFT+UP)
sm=MathTex(r"S_{m} = (m-20)\times 0.035").next_to(bfinal,DOWN,aligned_edge=LEFT)
self.play(FadeIn(squarepart1),FadeIn(sm))
self.wait()
sformula3=MathTex(r"\frac{S_{m} + f_{1} +f_{2}}{1} = 0.5").next_to(sm,DOWN)
self.play(FadeIn(sformula3))
mfinal=MathTex(r"m\approx 27.14").next_to(sformula3,DOWN)
self.play(FadeIn(mfinal))
self.play(Circumscribe(mfinal,Rectangle))
self.wait()
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