Pick a city in Maryland and determine the average high temperatures for each month. Record this in a table. 75% of the temperatures are below what value?
City: Baltimore, Maryland
Month | Average High Temperature (°F)
---|---
January | 43
February | 46
March | 55
April | 66
May | 75
June | 84
July | 88
August | 86
September | 80
October | 69
November | 58
December | 47
To determine the 75th percentile temperature, we need to first arrange the monthly average high temperatures in ascending order:
43, 46, 47, 55, 58, 66, 69, 75, 80, 84, 86, 88
Next, we need to find the position of the 75th percentile. We can do this using the formula:
Position = (percentile/100) x (n + 1)
where percentile = 75, n = number of temperatures (12 in this case)
Position = (75/100) x (12 + 1) = 9.5
Since this is not a whole number, we need to take the average of the two temperatures closest to position 9.5. These are the 9th and 10th temperatures in the ordered list:
75, 80
Taking their average, we get:
(75 + 80)/2 = 77.5
Therefore, 75% of the average high temperatures in Baltimore, Maryland are below 77.5°F.