To calculate the mean and median of the temperatures for the week, we first list the temperatures:
- Sunday: 45 degrees
- Monday: 52 degrees
- Tuesday: 44 degrees
- Wednesday: 62 degrees
- Thursday: 55 degrees
- Friday: 49 degrees
- Saturday: 50 degrees
Step 1: Calculate the Mean
The mean is found by adding all the temperatures together and dividing by the number of temperatures.
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Sum of temperatures: \[ 45 + 52 + 44 + 62 + 55 + 49 + 50 = 357 \text{ degrees} \]
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Number of days: There are 7 days in the week.
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Mean temperature: \[ \text{Mean} = \frac{357}{7} = 51 \text{ degrees} \]
Step 2: Calculate the Median
The median is found by ordering the temperatures and finding the middle value.
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Order the temperatures:
- 44 degrees
- 45 degrees
- 49 degrees
- 50 degrees
- 52 degrees
- 55 degrees
- 62 degrees
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Find the middle value: Since there are 7 temperatures, the median will be the 4th value in the ordered list.
- The ordered temperatures are: 44, 45, 49, 50, 52, 55, 62.
- The 4th value is 50.
Final Results
- During the week, the mean temperature was 51 degrees.
- During the week, the median temperature was 50 degrees.