QQuestionMathematics
QuestionMathematics
What is the outlier in the following set of numbers: 28, 31, 40, 26, 38, 65, 39, 35, 30?
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Answer
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Step 1:I'll solve this step-by-step using statistical methods to identify the outlier.
Step 2:: Calculate the Mean
\bar{x} = \frac{28 + 31 + 40 + 26 + 38 + 65 + 39 + 35 + 30}{9} = \frac{332}{9} = 36.89
First, I'll find the average of the dataset.
Step 3:: Calculate the Standard Deviation
- 30: $$|30 - 36.89| = 6.89
Deviations from mean:
Step 4:: Identify Outlier
The number 65 stands out significantly from the other values, being much larger than the rest.
Final Answer
65 is the outlier in the dataset.
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