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Question

What is the difference between the mean, median, and mode?


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Solution

Mean: The mean is the ratio of the sum of all values to the total number of values in a data set.

Median: The median is the middle value of the data when the data is arranged in ascending or descending order.

  1. When there are an odd number of terms in a data set, then the median is a n+12thterm of the arranged data.
  2. When there are even number of terms in a data set, then the median is n2thterm+n2+1thterm2, where n is the number of observations

Mode: The mode is the most frequent number occurring in the data set.

For a data set: 2,4,3,4,5,6

The mean of the data set is,

Mean=2+4+3+4+5+66

Mean=246

Mean=4

The median of the data set is,

arranged data set: 2,3,4,4,5,6

Median=4+42

Median=4

The mode of the data set,

Mode is the most repeated number. So, the mode of data set is 4.


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