The fivenumber summary of credit hours for 24 students n a s

The five-number summary of credit hours for 24 students n a statistics class is shown below. Which statement is true? A. There are both low and high outliers in the data. B. There is at least one high outlier in the data. C. There are no outliers in the data. D. There is at least one low outlier n the data.

Solution

A data point that is distinctly separate from the rest of the data. One definition of outlier is any data point more than 1.5 interquartile ranges (IQRs) below the first quartile or above the third quartile.

Now the interquartile range of the data is Q3-Q1 =18-15=3

The outliner should be more than the value of 1.5*3 =4.5

Now -first quartile*1.5 =15*1.5 =-22.5

and third quartile*1.5 =18*1.5 =27

As none of the data lies outside the range therefore there is no outliner

ANSWER IS option C