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Question
Find the mode and median of the data: 13, 16, 12, 14, 19, 12, 14, 13, 14
Solution
The given data is
13, 16, 12, 14, 19, 12, 14, 13, 14
Arranging the given data in an ascending order,
12, 12, 13, 13, 14, 14, 14, 16, 19
Mode of a given data is that value of observation which occurs for the most number of times and the median of the given data is the middle observation when the data is arranged in an ascending or descending order.
As there are 9 terms in the given data, therefore, the median of this data will be the 5th observation.
Hence, median = 14
Also, it can be observed that 14 occurs 3 times (i.e., maximum number of times).
Therefore, mode of this data = 14
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