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Alika [10]
1 year ago
14

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

Mathematics
1 answer:
timama [110]1 year ago
6 0

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

The greatest value, 78, is the only outlier.

<h3>How to use the quartiles of a data-set to identitfy outliers?</h3>

  • 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

#SPJ1

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