what is the mode and when is it used? how is it found in grouped data?

Answer 1

Mode: is the number that occurs more often in a set of numbers { 1 2 3 4 5 5 6 7 8 }. 5 occurs twice in the set of numbers

5 is the mode.

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Answer 2

In statistics, mode means the most frequent value assumed by a random variable, or occurring in a sampling of a random variable. The term is applied both to probability distributions and to collections of experimental data. In some fields, notably education, sample data are often called scores, and the sample mode is known as the modal score.[1]

Like the statistical mean and the median, the mode is a way of capturing important information about a random variable or a population in a single quantity. The mode is in general different from mean and median, and may be very different for strongly skewed distributions.

The mode is not necessarily unique, since the same maximum frequency may be attained at different values. The worst case is given by so-called uniform distributions, in which all values are equally likely.

Answer 3

Mode is the most commonly occurring value in a series. It is a measure of central tendency just like the median and the mean. It is not affected by extreme values in a distribution.

For grouped data, the formula for mode is

Mo = Lb + (d1/(d1 + d2))C

where Mo = mode
Lb = lower boundary of the modal class
D1 = difference between the frequency of the modal class and the frequency of the class interval lower than the modal class
d2 = difference between the frequency of the modal class and the frequency of the class interval higher than the modal class
C=size of the modal class