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Data Visualizationmedium
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A histogram with unequal bin widths represents the distribution of ages in a community. The frequency density (FDFDFD) for each class interval is shown below:

  • 0≤x<100 \le x < 100≤x<10: Width =10= 10=10, FD=1.2FD = 1.2FD=1.2
  • 10≤x<2010 \le x < 2010≤x<20: Width =10= 10=10, FD=1.8FD = 1.8FD=1.8
  • 20≤x<4020 \le x < 4020≤x<40: Width =20= 20=20, FD=1.5FD = 1.5FD=1.5
  • 40≤x<5040 \le x < 5040≤x<50: Width =10= 10=10, FD=2.0FD = 2.0FD=2.0

Using linear interpolation, what is the estimated median age of the community?