Question

The data set below has a lower quartile of 13 and an upper quartile of 37.

Answer 1

The correct option regarding the outliers of the data-set is given by:

The greatest value, 78, is the only outlier.

How to use the quartiles of a data-set to identitfy outliers?

• The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

• The first quartile is the median of the first half of the data-set.

• The third quartile is the median of the second half of the data-set.

• The interquartile range is the difference of the third quartile with the first quartile.

• Measures that are more than 1.5 IQR from Q1 and Q3 are considered outliers.

The IQR for this problem is:

IQR = 37 - 13 = 24.

Hence the bounds for outliers are:

• Less than 13 - 1.5 x 24 = -23.

• Greater than 37 + 1.5 x 24 = 73,

The options are:

• No outliers.

• Only 1 is an outlier.

• Only 78 is an outlier.

• Both 1 and 78 are outliers.

Hence the correct option is that only 78 is an outlier.

More can be learned about outliers of a data-set at brainly.com/question/17083142

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