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Question: For a continuous series the mode is computed by the formula...

For a continuous series the mode is computed by the formula

A

l+fm−1fm−fm−1−fm+1×Cl + \frac { f _ { m - 1 } } { f _ { m } - f _ { m - 1 } - f _ { m + 1 } } \times C or l+(f1fm−f1−f2)×il + \left( \frac { f _ { 1 } } { f _ { m } - f _ { 1 } - f _ { 2 } } \right) \times i

B

l=fm−fm−1fm−fm−1−fm+1×Cl = \frac { f _ { m } - f _ { m - 1 } } { f _ { m } - f _ { m - 1 } - f _ { m + 1 } } \times C or l+fm−f1fm−f1−f2×il + \frac { f _ { m } - f _ { 1 } } { f _ { m } - f _ { 1 } - f _ { 2 } } \times i

C

l+fm−fm−12fm−fm−1−fm+1×Cl + \frac { f _ { m } - f _ { m - 1 } } { 2 f _ { m } - f _ { m - 1 } - f _ { m + 1 } } \times C or l+fm−f12fm−f1−f2×il + \frac { f _ { m } - f _ { 1 } } { 2 f _ { m } - f _ { 1 } - f _ { 2 } } \times i

D

l+2fm−fm−1fm−fm−1−fm+1×Cl + \frac { 2 f _ { m } - f _ { m - 1 } } { f _ { m } - f _ { m - 1 } - f _ { m + 1 } } \times C or l+2fm−f1fm−f1−f2×il + \frac { 2 f _ { m } - f _ { 1 } } { f _ { m } - f _ { 1 } - f _ { 2 } } \times i

Answer

l+fm−fm−12fm−fm−1−fm+1×Cl + \frac { f _ { m } - f _ { m - 1 } } { 2 f _ { m } - f _ { m - 1 } - f _ { m + 1 } } \times C or l+fm−f12fm−f1−f2×il + \frac { f _ { m } - f _ { 1 } } { 2 f _ { m } - f _ { 1 } - f _ { 2 } } \times i