4.03 Outliers
Interactive practice questions
A class has test scores of $54,63,65,68,70,82,86,89,94,100$54,63,65,68,70,82,86,89,94,100 and one student scoring $145$145. Two boxplots were created for the data: one without the outlier, and one with it included.
How does the outlier affect the second boxplot compared to the first?
The outlier causes the median to decrease.
The outlier increases the spread of the data, making the boxplot wider but does not affect the median.
The outlier does not change the boxplot because it is outside the range of the rest of the data.
The outlier makes the boxplot longer and shifts the median slightly towards the higher scores.
The heights of students (in inches) in a class are $58,59,60,61,62,63,64,65$58,59,60,61,62,63,64,65, with an additional student who is $76$76 inches tall.
Two boxplots are created for the data: one with and one without the outlier. How does this outlier affect the boxplot?
The finishing times for a school marathon are all between $120$120 to $155$155 minutes, except for one elite athlete who finished in $94$94 minutes.
How will this outlier affect the boxplot?
A group of friends regularly play a video game with high scores ranging from $200$200 to $340$340, except for one particular friend who has only played once and achieved a score of $45$45.
How does this outlier score affect the boxplot?