Impact of Outliers While Calculating Mean, Median, and Mode
Meghan record...
Question
Meghan records the cost of bread (in $) from all the bakeries in her neighborhood as shown:
3.3, 3.8, 4.0, 4.2, 9.5, 3.5, 4.0, 4.15, 3.6, 4.3, 4.0
What is the mean cost of bread she records after ignoring the outlier?
A
$4.0
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B
$3.88
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C
$4.39
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D
$4.83
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Solution
The correct option is B $3.88 An outlier is a value in a data set that is either too small or too big compared to the other values of the same data set.
Arranging the data set in ascending order, we get:
3.3, 3.5, 3.6, 3.8, 4.0, 4.0, 4.0, 4.15, 4.2, 4.3, 9.5
From this, we can see that 9.5 is the outlier.
Mean (without the outlier) = 3.3+3.5+3.6+3.8+4.0+4.0+4.0+4.15+4.2+4.310 = 3.88
Thus, the average cost of bread after ignoring the outlier is $3.88