Question

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

Answer 1

a. City: Baltimore

| Month | Average High Temp (°F) |
|---------|------------------------|
| January | 42 |
| February| 45 |
| March | 53 |
| April | 64 |
| May | 73 |
| June | 82 |
| July | 87 |
| August | 85 |
| September| 78 |
| October | 67 |
| November| 56 |
| December| 47 |

b. Median temperature: The median temperature is 73°F.

c. To find the temperature below which 75% of the temperatures lie, look at the box-and-whisker plot and find the 75th percentile (Q3) value on the box plot. In this case, the value will be approximately 85°F.

d. To find the temperature above which 75% of the temperatures lie, subtract the Q3 value from the maximum temperature. In this case, it would be:

Max temp: 87°F
Q3 temp: 85°F

75% of temperatures are above 85°F.

e. From the box-and-whisker plot, we can see that the temperatures in Baltimore tend to be moderate in the winter months, with a gradual increase in the spring and peak in July. The temperatures then begin to decrease in the fall and winter months. The data suggests that Baltimore experiences a wide range of temperatures throughout the year.