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Sagot :
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 https://brainly.com/question/17083142
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