MTH301 MIDTERM SOLVED PAPERS
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So we note that in this example the weighted average gives exactly the same answer as we acquired earlier.
Obviously, the weighing process leads us to the correct answer in the situation we are in have data that cannot be considered such that each value should be given equal weight.
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An important point to note here is the criterion for assigning weights. Weights can be assigned in a number of ways depending on the situation and problem domain. Another measure of central tendency we will discuss is the median.
Let’s understand this concept with an example.
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The median is defined as the value that divides a data set into two halves, one half
containing observations greater than and the other half less than it. More precisely, the median
is the value at or below which 50% of the data lies.
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Let’s return to the problem of the “average” number of floors in downtown buildings.
We saw that the arithmetic mean was skewed towards several extremely high values in this series
and became unrepresentative.