Question

the median is calculated by putting the data in order and selecting the middle value.
the mode is the data value that occurs the most in a set of data.
the range is the difference between the maximum and minimum values of a data set.
the mean is the sum of the data divided by the number of data values.

students were asked how many pairs of shoes they owned. their responses were 8, 2, 1, 5, 7, 6, 2, 2, 8, and 3.

the mean of the data is 4.4.
the median of the data is

Explanation:

Order the data set

Arrange the given data values in ascending order:

$$ 1, 2, 2, 2, 3, 5, 6, 7, 8, 8 $$

Identify the middle values

Count the total number of data values \(n\):

$$ n = 10 $$

Since \(n\) is even, the median is the average of the two middle values at positions \(\frac{n}{2} = 5\) and \(\frac{n}{2} + 1 = 6\):

$$ \text{Value } 5 = 3,\quad \text{Value } 6 = 5 $$

Calculate the median

Compute the average of the two middle values:

$$ \text{Median} = \frac{3 + 5}{2} = 4 $$

Answer:

Students were asked how many pairs of shoes they owned. Their responses were 8, 2, 1, 5, 7, 6, 2, 2, 8, and 3.

The mean of the data is 4.4.
The median of the data is <blank>4</blank>