The number of patients treated at Dr. Frank's dentist office each day was recorded for seven days: 8, 14, 12, 17, 4, 6, 2. Using the given data, find the mean for this sample.
To find the mean (average) number of patients treated at Dr. Frank's dentist office each day over the seven days, follow these steps:
1. List the Number of Patients Per Day: Write down the number of patients treated each day: - Day 1: 8 patients - Day 2: 14 patients - Day 3: 12 patients - Day 4: 17 patients - Day 5: 4 patients - Day 6: 6 patients - Day 7: 2 patients
2. Sum the Number of Patients: Add the number of patients treated over the seven days: [tex]\[
8 + 14 + 12 + 17 + 4 + 6 + 2 = 63
\][/tex]
3. Count the Number of Days: Notice there are 7 days in this data set.
4. Calculate the Mean: Divide the total sum of patients by the number of days to find the average: [tex]\[
\text{Mean} = \frac{63}{7} = 9
\][/tex]
Thus, the mean number of patients treated per day over the seven days is 9.