Use the image to answer the question.
An illustration shows a number line representing ages of children at the party, ranging from 1 to 6 in unit increments. Different numbers of circles are placed vertically above each number in the number line. The number of circles placed above each number in the number line are as follows: 3 circles above 1, 2 circles above 2, 3 circles above 3, 1 circle above 4, 2 circles above 5, and 1 circle above 6.
What are the mean and median of the data shown in the line plot?
(1 point)
The mean is the average age of the children at the party. To find the mean, we add up all the ages and divide by the total number of data points:
Mean = (1*3 + 2*2 + 3*3 + 4*1 + 5*2 + 6*1) / (3 + 2 + 3 + 1 + 2 + 1)
Mean = (3 + 4 + 9 + 4 + 10 + 6) / 12
Mean = 36 / 12
Mean = 3
So, the mean age of the children at the party is 3 years old.
The median is the middle value when all the ages are arranged in order. There are 12 data points, so the median would be the average of the 6th and 7th value when arranged in ascending order:
Arranged data set: 1, 1, 1, 2, 2, 3, 3, 3, 5, 5, 6
Median = (3 + 3) / 2
Median = 3
Therefore, the median age of the children at the party is 3 years old.