Wind Speeds (mph) Answer the following questions with respect to these daily hig

ID: 3067797 • Letter: W

Question

Wind Speeds (mph)

Answer the following questions with respect to these daily high wind speeds for Casper for the past 42 days:

(Note: round to 3 decimals)

mean =

median =

standard deviation =

range =

Now consider the next day was added to the list which had a windspeed of 60.

2.) Which would be more affected:

median or mean

Defend your answer to which would be more affected.

33 37 16 18 16 37 43 21 46 49 54 51 28 51 34 37 49 22 21 29 51 46 53 52 18 53 18 30 37 24 26 19 26 37 25 35 45 13 13 34 53 49

1)
n = 41
sum = 1416

mean = 1416/41 = 34.537

Median: arrange the given numbers in ascending order, the 21st number would be the median.
Median = 35

std. dev. = 13.311

min = 13, max = 54
range = 54 - 13 = 41

2)
If we add 60,
mean = 35.143
median = 36

Median is the most impacted because it will shift from 21st postition to average of 21st and 22nd position.

However, there is also impact on mean but not as significant as median.

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.