In a recent survey, 8 college graduates were each asked for the number of hours they work each week. here is a list of the responses. 50, 52, 36, 46, 41, 36, 56, 65 find the range of the data set.

29

To get this answer, you subtract the largest and smallest values, which are also known as the max and min respectively

Range = Largest Value - Smallest Value

Range = Max - Min

Range = 65 - 36

Range = 29

If it helps, sort the data in order from smallest to largest to get this list of values: {36, 36, 41, 46, 50, 52, 56, 65} so you can see the min and max easier. The range is basically the spread of the data (more or less). The larger the range, the more spread out the data values are.

33

step-by-step explanation: g=6

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: