Question

What is mode,median and mean?​

Answer 1

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The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.

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Answer 2

Answer:

Mean:-

• Mean is Average of given data.
• The mean of observations is the sum of the values of all the observations divided by the total number observations.

Mean of Ungrouped data:-

• ${ \boxed{ \sf{Mean = \frac{Sum \: of \: observations}{Number \: of \: observations} }}}$

Mean of grouped data:-

• ${ \boxed{ \sf{Mean = \frac{ \Sigma f_{i} x_{i} }{ \Sigma f_{i} } }}}$

Mode:-

• The value which occurs most frequently in a grouped data is called mode

Mode of ungrouped data:-

• Most repeated term in given observations

Mode of grouped data:-

• ${ \boxed{ \sf{Mode = l + \bigg( \frac{ f_{1} - f_{0} }{2f_{1} - f_{0} - f_{2}} \bigg) \times h }}}$

Median:-

• If the values x1 in the raw data are arranged in ascending or descending order, then the middle most term in observations are called median

Median of ungrouped data:-

• Middle most term in given observations when they are arranged in a order.

Median of grouped data:-

• ${ \boxed{ \sf{Median = l + \bigg( \frac{ \frac{n}{2} - cf }{f} \bigg) \times h }}}$