Answer:
a) [tex]\=x=36.4inches[/tex]
b) [tex]Median=22[/tex]
c) [tex]Mode=18[/tex]
d) [tex]The\ Mean[/tex]
Step-by-step explanation:
From the question we are told that:
Depths:
18 inches,
20 inches
26 inches
22 inches
85 inches
18 inches
24 inches
Sample size [tex]n=7[/tex]
Summation of all depths
[tex]\sum d=18+20+26+22+85+18+24[/tex]
[tex]\sum d=255[/tex]
a)
Generally the equation for Mean is mathematically given by
[tex]\=x=\frac{\sum d}{n}[/tex]
[tex]\=x=\frac{255}{7}[/tex]
[tex]\=x=36.4inches[/tex]
b)
Generally the Median is given by the Middle Number which is
[tex]Median=22[/tex]
c)
Generally the Mode is given by the Highest occurring Number which is
[tex]Mode=18[/tex]
with two appearances
Therefore
d)
The measure that is the most useful for predicting how deep the snow will be at an 8th lodge is
[tex]The Mean[/tex]