Answer:
13
Step-by-step explanation:
To find the center of the data in a dot plot, we need to identify the median. The median is the middle value when the data is arranged in ascending or descending order.
From the given dot plot, we can see that the number of minutes to finish the quiz ranges from 10 to 15. Let's arrange the data in ascending order along with the frequency of each value:
10 (4 dots)
11 (3 dots)
12 (7 dots)
13 (6 dots)
14 (3 dots)
15 (6 dots)
To find the median, we need to determine the value that splits the data into two equal parts. In this case, since we have a total of 29 dots (4 + 3 + 7 + 6 + 3 + 6 = 29), the median will be the 15th value when the data is arranged in ascending order.
Arranging the data in ascending order, we have:
10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 15, 15, 15, 15, 15, 15
The 15th value is 13, so the median (center) of the data in the dot plot is 13.
