Question

What is the center of the data?



Number of Green Candies in a Bag

A dot plot going from 10 to 15. 10 has 1 dot, 11 has 3 dots, 12 has 1 dot, 13 has 2 dots, 14 has 3 dots, and 15 has 3 dots.


The center is
.

Answer 1

To find the center of the data, we can calculate the mean, median, or mode. The dot plot represents the frequency of the number of green candies, so let's analyze this data.

Here are the counts based on the dot plot:

- 10: 1 dot
- 11: 3 dots
- 12: 1 dot
- 13: 2 dots
- 14: 3 dots
- 15: 3 dots

### Step 1: Write out the data based on frequency.

- 10 appears 1 time: 10
- 11 appears 3 times: 11, 11, 11
- 12 appears 1 time: 12
- 13 appears 2 times: 13, 13
- 14 appears 3 times: 14, 14, 14
- 15 appears 3 times: 15, 15, 15

### The complete list of data is:
10, 11, 11, 11, 12, 13, 13, 14, 14, 14, 15, 15, 15

### Step 2: Calculate the total number of data points.
There are a total of 13 data points.

### Step 3: Find the median.
To find the median, we need to organize the data in order and find the middle value.

The data in order:
10, 11, 11, 11, 12, 13, 13, 14, 14, 14, 15, 15, 15

Since there are 13 points (an odd number), the median is the value at position \( (n + 1)/2 \).

\( (13 + 1)/2 = 7 \)

So, the 7th point in the ordered list is 13.

### The center of the data is:
**13** (the median).