Question

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

Explanation:

Identify the data set and find the frequency of each value

The given data set is:

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

Counting the occurrences of each unique value:

• \(1\): occurs \(1\) time
• \(2\): occurs \(3\) times
• \(3\): occurs \(1\) time
• \(5\): occurs \(1\) time
• \(6\): occurs \(1\) time
• \(7\): occurs \(1\) time
• \(8\): occurs \(2\) times

Determine the mode

The mode is the value that occurs most frequently in the data set.
The value \(2\) occurs \(3\) times, which is more than any other value.
Therefore, the mode is \(2\).

Answer:

The mode of the data is <blank>2</blank>