Give the formula for estimating mode in case of continuous series.

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Solution

The following formula is used to calculate the exact value of the mode in case of continuous series after finding the modal class.

$Z = l_{1} + \frac{f_{1} - f_{0}}{2 f_{1} - f_{0} - f_{2}} \times i$

(Here, $Z$ = Value of the mode; $l_{1} =$ lower limit of the modal class; $f_{1} =$ The frequency of the modal class; $f_{0} =$ The frequency of pre-modal class; $f_{2} =$ Frequency of the next higher class or post - modal class; $i =$ Size of the modal group.)

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