For given data set that consists of first and third quartiles as 9 and 17 respectively outlier comes out to be 41. So, option (d) is correct option.
Three values called quartiles divide sorted data into four equal portions with the same amount of observations in each. Quartiles are a type of quantile.
An outlier is a piece of data that is an exceptional distance from other locations. It is information that is not included in the set's other values, to put it another way.
Outlier is any data point more than 1.5 times interquartile ranges (IQRs) below the first quartile or above the third quartile([tex]Q_{3}[/tex]).
We are given
First quartile, [tex]Q_{1}[/tex] = 9
Third quartile,[tex]Q_{3}[/tex] = 17
IQR = [tex]Q_{3} - Q_{1}[/tex] = 17 – 9 = 8
[tex]1.5*IQR = 1.5*8 = 12[/tex]
[tex]Q_{1} - 1.5*IQR = 1.5*8 = 12[/tex]
[tex]Q_{3} + 1.5*IQR = 17 + 12 = 29[/tex]
So, numbers outside -3 and 29 are considered as outliers.
So, number 41 is outside this interval, therefore it is considered as an outlier.
Learn more about outliers here:
https://brainly.com/question/3631910
#SPJ1
