Question

Derive mode formula

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Answer 1

Answer:

If f1−f0=f1−f2, that is, the modal bar is equally far above the bars on both its left and right, then this formula estimates the mode right in the middle of the modal class: l+f1−f02f1−f0−f2h=l+12h.

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Explanation:

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Answer 2

Answer:

1. ⇒FE=(f1−f02f1−f0−f2)×f1.
2. ⇒x=(f1−f02f1−f0−f2)×f1.
3. ⇒Mode=I0+(f1−f02f1−f0−f2)×f1.

Explanation:

Mode for grouped data is given as Mode=l+(f1−f02f1−f0−f2)×h , where l is the lower limit of modal class, h is the size of class interval, f1 is the frequency of the modal class, f0 is the frequency of the class preceding the modal class, and f2 is the frequency of the class succeeding the modal class.