Answer:
Mode= 38
Modal class= 30-40
F1= 16
F0= 12
F2= x
L= 30
h= 10
Now,
[tex] \star \red{mode = l +( \frac{f1 - f0}{2f1 - f0 - f2} ) \times h} \star[/tex]
[tex]38 = 30 + ( \frac{16 - 12}{32 - 12 - x}) \times 10[/tex]
[tex] \frac{8}{10} = \frac{4}{20 - x} [/tex]
[tex] \frac{1}{5} = \frac{1}{20 - x } \\ \blue{ 20 - x = 5}[/tex]
[tex] \green{ \underbrace{\over \boxed{x = 15}}}[/tex]
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Answers & Comments
Answer:
Mode= 38
Modal class= 30-40
F1= 16
F0= 12
F2= x
L= 30
h= 10
Now,
[tex] \star \red{mode = l +( \frac{f1 - f0}{2f1 - f0 - f2} ) \times h} \star[/tex]
[tex]38 = 30 + ( \frac{16 - 12}{32 - 12 - x}) \times 10[/tex]
[tex] \frac{8}{10} = \frac{4}{20 - x} [/tex]
[tex] \frac{1}{5} = \frac{1}{20 - x } \\ \blue{ 20 - x = 5}[/tex]
[tex] \green{ \underbrace{\over \boxed{x = 15}}}[/tex]