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 4
the mode of the data is 2
the range of the data is

Explanation:

Identify the data set and target

Using the Basic Statistics knowledge point
The given data set representing the number of pairs of shoes owned by students is:

$$ \{8, 2, 1, 5, 7, 6, 2, 2, 8, 3\} $$

We need to find the range of this data set.

Find the maximum and minimum values

Using the Measures of Spread knowledge point

$$
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$$

Calculate the range

Using the Measures of Spread knowledge point

$$ \text{Range} = \text{Maximum} - \text{Minimum} = 8 - 1 = 7 $$

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 4
The mode of the data is 2
The range of the data is <blank>7</blank>