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Q: How The first quartile of a data set is 23 the median is 30 the third quartile is 33 and an outlier is 50. Which of these data values would be represented by a point in a modified box plot?

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6

No, median is not an outlier.

The median

Median = 50th percentile or 2nd quartile or 5th decile.

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6

50

No, median is not an outlier.

An outlier.

Outlier does not affect the median.

an outlier can be found with this formula... Q3-Q1= IQR( inner quartile range) IQR*1.5=x x+Q3= anything higher than this # is an outlier Q1-x= anything smaller than this # is an outlier

The second quartile.

The median

Calculate the mean, median, and range with the outlier, and then again without the outlier. Then find the difference. Mode will be unaffected by an outlier.

An outlier pulls the mean towards it. It does not affect the median and only affects the mode if the mode is itself the outlier.

Roughly speaking, finding the third quartile is similar to finding the median. First, use the median to split the data set into two equal halves. Then the third quartile is the median of the upper half. Similarly, the first quartile is the median of the lower half.

Median = 50th percentile or 2nd quartile or 5th decile.

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