Answer:
Median changed from 92 to 93
Mean changed from 90.4 to 93
Step-by-step explanation:
We have to determine the mean and median in both case: considering the lowest value and eliminate it.
The mean of a group of values is calculated adding all the values and then dividing the result by the total amount of values
For example: let x,y,z, a group of values and M the mean of the group
[tex]M=\frac{x+y+z}{3}[/tex]
The median of a group of values is calculated ordening all the values from the lowest to the highest value and then determining the central value, where if the amount of values is odd, the central value is the middle value, or if the amount of values is pair, the central value is the mean of the two middle values.
For example: let 2,3,4,5,6 the values of a group
Case A) Odd number: From 2,3,4,5,6 values, the median is 4
Case B) Pair number: From 2,3,4,5 values, the median is [tex]\frac{3+4}{2}=3.5[/tex]
Resolving the question:
First case: considering the lowest value
Values: [tex]80, 90, 92, 94, 96[/tex]
Mean: [tex]\frac{80+90+92+94+96}{5} =90.4[/tex]
Median: 92
Second case: eliminate the lowest value
Values: [tex]90, 92, 94, 96[/tex]
Mean: [tex]\frac{90+92+94+96}{4} =93[/tex]
Median:[tex]\frac{92+94}{2}=93[/tex]
Finally, if the lowest value is eliminated:
Median will change from 92 to 93
Mean will change from 90.4 to 93
