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. complete the median of the data is

Explanation:

Step1: Arrange data in ascending order

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

Step2: Determine the position of the median

There are $n = 10$ data - points. For an even - numbered data set, the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered values. Here, $\frac{n}{2}=5$ and $\frac{n}{2}+1 = 6$.

Step3: Calculate the median

The 5th value is $3$ and the 6th value is $5$. The median is $\frac{3 + 5}{2}=4$.

Answer:

$4$