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5. chen has a data set that has the following values: 2, 8, 6, 5, 4, an…

Question

  1. chen has a data set that has the following values: 2, 8, 6, 5, 4, and 100. in this example, the number 100 is considered to be a(n) ______.

median
sampling error
mode
outlier

Explanation:

Analyze the given data set

The data set consists of the values: \(2, 8, 6, 5, 4,\) and \(100\).
Using the Descriptive Statistics knowledge point, we observe that most values are clustered closely together between \(2\) and \(8\).

Evaluate the value 100

The value \(100\) is extremely large compared to the rest of the data points in the set.
An extreme value that differs significantly from other observations is defined as an outlier.

Compare with the given options

  • Median: The middle value when sorted.
  • Mode: The most frequent value.
  • Sampling error: The difference between a sample statistic and a population parameter.
  • Outlier: An observation that lies an abnormal distance from other values.

Therefore, \(100\) is considered an outlier.

Answer:

  • Median
  • Mode
  • Sampling error
  • Outlier (Correct answer)