Question

The number of patients treated at Dr. McCormick’s dentist office each day was recorded for nine days. These are the data: 13, 16, 16, 10, 6, 12, 4, 12, 16. Find the mean, median, mode, and range of the data. If necessary, round to the nearest tenth.
13.7, 12, 16, 20

11.7, 12, 16, 12

12, 13.7, 16, 12

11.7, 16, 12, 20

Answer 1

First, lets sort the list from smallest to greatest. This will help with median, mode, and range.

4, 6, 10, 12, 12, 13, 16, 16, 16

Next, lets find the mean. Mean is found by adding all numbers up, then dividing them by the number of entries in the data set.

$4+6+10+12+12+13+16+16+16 = 105$
$105 / 9 = 11.7$

So the mean is 11.7.

Next, we'll find the median. The median is the value in the center of the list. Because there are 9 values, that means the center of the list is 5 with four numbers on each side of it. The 5th number in the list is 12, so that's our median.

Continuing, the mode is the number or numbers that appears the most often. For this data set, 16 appears 3 times while all other numbers appear 2 times or less. So, the mode is 16.

Lastly, the range is the difference between the largest number and the smallest number.

$16 - 4 = 12$

So the range is 12.

The second answer in the list matches all of these values, and is the correct solution.

Answer 2

Hey there! :)

First, let's find mean.

To find mean, add all the numbers and divide by how many numbers there are.

13 + 16 + 16 + 10 + 6 + 12 + 4 + 12 + 16 = 105

There are 9 numbers.

105 ÷ 9 = 11.7  

The mean is 11.7
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Now, let's find median.

Median is the middle number when ordered from least to greatest.

Order the numbers

4, 6, 10, 12, 12, 13, 16, 16, 16

There are 9 numbers. That means the middle one is the 5th with 4 on the left and 4 on the right

4 + 1 + 4 = 9 

The median is 12
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Let's find the mode

Mode is the number that appears the most often.

4 = 1 time
6 = 1 time 
10 = 1 time
12 = 2 times
13 = 1 time 
16 = 3 times

The mode is 16
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At last, find the range

Range is the difference between the greatest and least number

Greatest = 16
Least = 4

16 - 4 = 12

The range is 12

Your answer is the 2nd choice

Hope this helps :)