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What is the median of the set: 12, 15, 14, 10, 18?
14
15
12
18
14
Arrange numbers in ascending order mentally by picking the smallest, then the second smallest, and so on; the middle value is the median.
A set of five numbers: 12, 15, 14, 10, 18.
Median=(2n+1тАЛ)th┬аterm,┬аwhere┬аn┬аis┬аthe┬аnumber┬аof┬аobservations┬аin┬аan┬аordered┬аset.
Arrange numbers in ascending order mentally by picking the smallest, then the second smallest, and so on; the middle value is the median.
Students often forget to arrange the data in ascending or descending order before picking the middle value, leading to choosing the middle value of the original unsorted list.
Sort the data
Arrange the given set 12, 15, 14, 10, 18 in ascending order.
10,12,14,15,18
Identify count
Count the number of terms (n) in the sorted list.
n=5
Apply formula
Find the position of the median using n=5. The median is the 3rd term.
25+1тАЛ=3
Determine median
Locate the 3rd term in the sorted sequence 10, 12, 14, 15, 18.
Median=14
A is correct because after arranging the numbers as 10, 12, 14, 15, 18, the middle term is 14.
Understanding the median is crucial for Box-and-Whisker plots and identifying outliers in data sets, which are frequently tested in Data Interpretation (DI) sections.
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