Question

The depth of snow at seven different mountain lodges is 18 inches, 20 inches, 26 inches, 22 inches, 85 inches, 18 inches, and 24 inches. Find the mean, median, and mode. Which measure is the most useful for predicting how deep the snow will be at an 8th lodge?

Answer 1

a)
`\=x=36.4inches`

b)
`Median=22`

c)
`Mode=18`

d)
`The\ Mean`

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
`n=7`

Summation of all depths

`\sum d=18+20+26+22+85+18+24`

`\sum d=255`

a)

Generally the equation for Mean is mathematically given by

`\=x=(\sum d)/(n)`

`\=x=(255)/(7)`

`\=x=36.4inches`

b)

Generally the Median is given by the Middle Number which is

`Median=22`

c)

Generally the Mode is given by the Highest occurring Number which is

`Mode=18`

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

`The Mean`