MATH SOLVE

4 months ago

Q:
# The number of lattes sold daily for two coffee shops is shown in the table:Lattes5552504768485353Based on the data, what is the difference between the median of the data, including the possible outlier and excluding the possible outlier?

Accepted Solution

A:

Answer:0.5Step-by-step explanation:Sort the given data in ascending order:47, 48, 50, 52, 53, 53, 55, 68Possible outlier is number 68. Check whether this number is an outlier:[tex]Q_1=49\\ \\Q_2=52.5 \\ \\Q_3=54[/tex]The interquartile range is [tex]Q_3-Q_1=54-49=5[/tex]Multiply it by 1.5:[tex]1.5\cdot 5=7.5[/tex]and add to third quartile:[tex]7.5+54=61.5[/tex]Since [tex]68>61.5,[/tex] number 68 is an outlier.The median of the sample with outlier is [tex]Q_2=\dfrac{52+53}{2}=52.5[/tex]The median of the sample without outlier is 52The difference between the median of the data, including the possible outlier and excluding the possible outlier is 52.5-52=0.5