Question

The number of patients treated at Dr. White’s dentist office each day for nine days is 10, 6, 4, 15, 6, 8, 6, 15, 4. Find the mean, median, mode, and range of the data. If necessary, round to the nearest tenth.

A. 6, 7.2, 6, 11
B. 8.2, 6, 6, 19
C. 8.2, 6, 6, 11
D. 7.2, 6, 6, 19

Answer 1

The mean of Dr. White's dental office patient data is 8.2, the median is 6, the mode is 6, and the range is 11.

Step-by-step explanation:

To find the mean, median, mode, and range of the data set 10, 6, 4, 15, 6, 8, 6, 15, 4 for a series of nine days at Dr. White's dentist office, we follow these steps:

1. Mean: Add all the numbers together and then divide by the count of numbers. (10+6+4+15+6+8+6+15+4) / 9 = 74 / 9 = 8.2.
2. Median: Arrange the numbers in ascending order and find the middle value. As there are nine numbers, the fifth number is the median. Ordered set: 4, 4, 6, 6, 6, 8, 10, 15, 15. The median is 6.
3. Mode: The number that appears most frequently. Number 6 appears three times, so the mode is 6.
4. Range: Subtract the smallest number from the largest number. 15 - 4 = 11.

The correct answer is option C: Mean is 8.2, Median is 6, Mode is 6, and Range is 11.