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?
For this exercise, we will use Baltimore, Maryland as our city.
Average High Temperatures in Baltimore, Maryland (in degrees Fahrenheit):
- January: 41
- February: 45
- March: 55
- April: 66
- May: 75
- June: 84
- July: 88
- August: 86
- September: 79
- October: 68
- November: 57
- December: 46
a. Box-and-Whisker Plot:
|----------------------*----|----*------|------*---------|----------*-----|----*---------|----------------*---|---*---------------|---------------*---|----|
b. Median Temperature: The median temperature is 73.5 degrees Fahrenheit.
c. 75% of the temperatures are below what value: To find this value, we look at the box-and-whisker plot. 75% of the temperatures are below the upper quartile (Q3), which is approximately 86 degrees Fahrenheit.
d. 75% of the temperatures are above what value: 25% of the temperatures are below the lower quartile (Q1), which is approximately 55 degrees Fahrenheit. Therefore, 75% of the temperatures are above 55 degrees Fahrenheit.
e. Conclusions:
- The temperature in Maryland varies significantly throughout the year, with the highest temperatures being in July and August, and the lowest temperatures being in January and December.
- Maryland experiences a range of temperatures, from as low as 41 degrees Fahrenheit in January to as high as 88 degrees Fahrenheit in July.
- The median temperature in Maryland is around 73.5 degrees Fahrenheit, indicating that the overall temperature in the state is moderate.