Question

50. For a given frequency distribution, in usual notations, h = 100, 1 = 200, fi = 37, fo = 21 and f2 = 13. Find the mode of the data. =​

Answer 1

Step-by-step explanation:

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Answer 2

The mode of the data is 240 .

Mode: = l + $\frac{f_{1} - f_{0} }{2f_{1} - f_{0} - f_{2} }$  * h

Where l is the modal class's lower class limit, h is the class size, $f_{1}$  is the frequency of the modal class,  $f_{0}$= is the frequency at which classes move into the modal class, and  $f_{2}$=is the frequency at which classes pass into the modal class.The identification of the central position in the data set as a single value is required in order to calculate the mode, one of the measures of the central tendency of a given dataset. The item with the highest frequency is the mode when dealing with ungrouped data.

The given details for a given frequency distribution, in usual notations, h = 100, l = 200, $f_{1}$ = 37,  $f_{0}$= 21 and $f_{2}$= 13.

mode = l + $\frac{f_{1} - f_{0} }{2f_{1} - f_{0} - f_{2} }$  * h

= 200 + $\frac{37 - 21}{2 * 37 - 21 - 13}$ * 100

= 200 + $\frac{16}{74 - 21 - 13}$ * 100

= 200 + $\frac{16}{40}$  * 100

= 200 + $\frac{1600}{40}$

= 200 + 40

= 240

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