The number of patients treated at Dr. Artin’s dentist office each day was recorded for nine days. These are the data: 6, 6, 6, 5, 5, 6, 5, 6, 5. Find the mean, median, mode, and range of the data. If necessary, round to the nearest tenth

Mean: add the numbers and divide by 9.

Median: arrange the numbers in order and find the middle number

The mode is the most frequent number: 6

The range is 1 -- 5 to 6

5.6,6,11

56661

To find the mean, median, mode, and range of the given data, follow these steps:

Mean:
1. Add up all the numbers in the data set: 6 + 6 + 6 + 5 + 5 + 6 + 5 + 6 + 5 = 50
2. Divide the sum by the total number of data points (9 in this case): 50 ÷ 9 = 5.56 (rounded to the nearest tenth)

Therefore, the mean (average) of the data is approximately 5.6.

Median:
1. Arrange the data points in ascending order: 5, 5, 5, 5, 6, 6, 6, 6, 6
2. Since we have an odd number of data points (9 in this case), the median is the middle value, which is the fifth number: 6

Therefore, the median of the data is 6.

Mode:
1. Identify the most frequently occurring value(s) in the data set.
2. In this case, both 5 and 6 occur the same number of times (four times each), so there are two modes: 5 and 6.

Therefore, the modes of the data are 5 and 6.

Range:
1. Find the difference between the highest and lowest values in the data set.
2. The highest value is 6, and the lowest value is 5.
3. Subtract the lowest value from the highest value: 6 - 5 = 1

Therefore, the range of the data is 1.