Question

what is mode ? give formula to find out mode in continuous series​

Answer 1

Answer:

Mode: Mean is the average value that is equal to the ration of sum of values in a data set and total number of values. The most frequently occurring value of the variable.

Explanation:

In the case of continuous series, after determining the modal class, the following formula is used to get the exact value of the mode.

$Z = L_{1} + \frac{fi-foxi}{2f-fo-f2}$  × $i$

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.

i.e. the value of the variable that happens the most number of times in a data set, is the core definition of Mode.

Answer 2

Mode is the observation with greatest frequency in a series.

i.e., the observation that occurs maximum number of times in the series.

The formula of mode in continuous series is given by

$z = l + (\frac{ f_{1} - f_{0} }{2 f_{1} - f_{0} - f_{2} } ) \times i$

where z >> mode

l >> lower limit of modal interval

f₁ >> frequency of modal interval

f₀ >> frequency of the interval preceding modal interval

f₂>> frequency of the interval suceeding modal interval

i >> length of modal interval

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