1.

For a continuous series the mode is computed by the formula

A.                 \[l+\frac{{{f}_{m-1}}}{{{f}_{m}}-{{f}_{m-1}}-{{f}_{m+1}}}\times C\] or \[l+\left( \frac{{{f}_{1}}}{{{f}_{m}}-{{f}_{1}}-{{f}_{2}}} \right)\times i\]
B.                 \[l=\frac{{{f}_{m}}-{{f}_{m-1}}}{{{f}_{m}}-{{f}_{m-1}}-{{f}_{m+1}}}\times C\] or \[l+\frac{{{f}_{m}}-{{f}_{1}}}{{{f}_{m}}-{{f}_{1}}-{{f}_{2}}}\times i\]
C.                 \[l+\frac{{{f}_{m}}-{{f}_{m-1}}}{2{{f}_{m}}-{{f}_{m-1}}-{{f}_{m+1}}}\times C\] or \[l+\frac{{{f}_{m}}-{{f}_{1}}}{2{{f}_{m}}-{{f}_{1}}-{{f}_{2}}}\times i\]
D.                  \[l+\frac{2{{f}_{m}}-{{f}_{m-1}}}{{{f}_{m}}-{{f}_{m-1}}-{{f}_{m+1}}}\times C\] or \[l+\frac{2{{f}_{m}}-{{f}_{1}}}{{{f}_{m}}-{{f}_{1}}-{{f}_{2}}}\times i\]
Answer» D.                  \[l+\frac{2{{f}_{m}}-{{f}_{m-1}}}{{{f}_{m}}-{{f}_{m-1}}-{{f}_{m+1}}}\times C\] or \[l+\frac{2{{f}_{m}}-{{f}_{1}}}{{{f}_{m}}-{{f}_{1}}-{{f}_{2}}}\times i\]


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