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When statistic; like the median, is said to be resistant to outliers, this means that
it is impossible for the data to have any outliers_
the statistic is not greatly influenced by the value of the outliers:
the statistic is greatly influenced by the value of the outliers.
the statistic itself cannot be an outlier
the statistic itself is an outlier

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01:47

One indicator of an outlier is that an observation is more than 2.5 standard deviations from the mean. Consider the data value $80 .$(a) If a data set has mean 70 and standard deviation $5,$ is 80 a suspect outlier?(b) If a data set has mean 70 and standard deviation $3,$ is 80 a suspect outlier?

00:58

If a distribution is skewed to the right with no outliers,(a) mean < median. (d) mean > median.(b) mean ? median. (e) We can’t tell without xamining the data.(c) mean = median.

01:33

Critical Thinking: Outliers One indicator of an outlier is that an observation is more than 2.5standard deviations from the mean. Consider the data value 80 .a. If a data set has mean 70 and standard deviation 5 , is 80 a suspect outlier?b. If a data set has mean 70 and standard deviation $3,$ is 80 a suspect outlier?

01:37

Is an extreme observation necessarily an outlier? Explain your answer.

Transcript

Mhm. The median is definitely a measure that is resistant because resistant measure is one that is not influenced by outliers. So in this case, when the…

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You are watching: SOLVED: When statistic; like the median, is said to be resistant to outliers, this means that it is impossible for the data to have any outliers the statistic is not greatly influenced by the value of. Info created by GBee English Center selection and synthesis along with other related topics.