To find the mean and median of the past week's temperatures, we first list the temperatures for each day:
- Sunday: 102 degrees
- Monday: 105 degrees
- Tuesday: 107 degrees
- Wednesday: 109 degrees
- Thursday: 110 degrees
- Friday: 109 degrees
- Saturday: 109 degrees
Mean Calculation:
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Add all the temperatures together: \[ 102 + 105 + 107 + 109 + 110 + 109 + 109 = 751 \]
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Count the number of days (which is 7).
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Divide the total by the number of days to find the mean: \[ \text{Mean} = \frac{751}{7} \approx 107.29 \text{ degrees} \]
Median Calculation:
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First, we arrange the temperatures in ascending order: \[ 102, 105, 107, 109, 109, 109, 110 \]
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Since there are 7 numbers (an odd count), the median will be the middle number, which is the 4th number in the ordered list: \[ \text{Median} = 109 \text{ degrees} \]
Summary:
- Mean temperature: approximately 107.29 degrees Fahrenheit
- Median temperature: 109 degrees Fahrenheit