Pick a city in Maryland and determine the average high temperatures for each month. Record this in a table.
a. Create a box-and-whisker plot for the data.
b. What is the median temperature?
c. 75% of the temperatures are below what value? How do you know?
d. 75% of the temperatures are above what value? How do you know?
e. What conclusions can you draw about the temperature in Maryland?
I will choose Annapolis, Maryland for this analysis.
Average High Temperatures in Annapolis, Maryland:
| Month | Average High Temperature (°F) |
|----------|-------------------------------|
| January | 42 |
| February | 45 |
| March | 53 |
| April | 63 |
| May | 73 |
| June | 82 |
| July | 87 |
| August | 85 |
| September| 79 |
| October | 68 |
| November | 57 |
| December | 46 |
a. Box-and-Whisker Plot:
(Unfortunately, I can't draw a plot here, but you can visualize it with the following information):
- The lower quartile is around 50°F.
- The median is around 70°F.
- The upper quartile is around 85°F.
- The range of temperatures is 42°F to 87°F.
b. The median temperature is around 70°F.
c. 75% of the temperatures are below the upper quartile, which is around 85°F. We know this because the upper quartile represents the temperature below which 75% of the data lies.
d. 75% of the temperatures are above the lower quartile, which is around 50°F. We know this because the lower quartile represents the temperature above which 25% of the data lies.
e. From this data, we can conclude that Annapolis, Maryland experiences significant temperature variations throughout the year, with the hottest months being July and August and the coldest months being January and February. Additionally, a majority of the temperatures fall within a relatively narrow range between 50°F and 85°F.