What is the median of this data set?

5 is the median of this data set.

Step-by-step explanation:

Median is the number in the middle. When the data is ordered from the least to the greatest (ascending order). If the two middle values, find the mean of two middle values.

Now we arrange this data in ascending order

2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 7, 8, 8, 9, 9, 9, 10, 10

We find two numbers in the middle, we add them and divide with 2.

= (5 + 5) / 2

= 10 / 2 = 5

5 is the median of this data set.

18

step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: