To calculate the mean and median of the temperatures recorded for each day of the week, we'll first list the temperatures in numerical order:
- Sunday: 45 degrees
- Monday: 52 degrees
- Tuesday: 44 degrees
- Wednesday: 62 degrees
- Thursday: 55 degrees
- Friday: 49 degrees
- Saturday: 50 degrees
Step 1: List the Temperatures
Let's list these temperatures in ascending order:
- 44 degrees (Tuesday)
- 45 degrees (Sunday)
- 49 degrees (Friday)
- 50 degrees (Saturday)
- 52 degrees (Monday)
- 55 degrees (Thursday)
- 62 degrees (Wednesday)
Step 2: Calculate the Mean
To calculate the mean (average), sum all temperatures and divide by the number of days:
Sum of temperatures: \( 45 + 52 + 44 + 62 + 55 + 49 + 50 = 357 \) degrees
Number of days: \( 7 \)
Mean temperature: \[ \text{Mean} = \frac{357}{7} = 51 \text{ degrees} \]
Step 3: Calculate the Median
The median is the middle value of a sorted list. Since there are 7 temperatures (an odd number), the median will be the fourth value in the sorted list.
The sorted list of temperatures again for reference:
- 44, 45, 49, 50, 52, 55, 62
The fourth value (median) is: \[ \text{Median} = 50 \text{ degrees} \]
Final Answers
During the week, the mean temperature was 51 degrees.
During the week, the median temperature was 50 degrees.