Which data set COULD NOT be represented by the box plot shown? A) {13, 5, 8, 8, 6, 10, 15, 12, 4, 13, 11} B) {2, 10, 13, 7, 9, 5, 15, 12, 7, 13, 11} C) {15, 13, 6, 7, 10, 8, 11, 13, 13, 6, 4} D) {4, 13, 6, 7, 15, 12, 11, 10, 5, 13, 9}

B

Step-by-step explanation:

From the box plots shown above:

The lowest number is 4

The highest number is 15

Therefore, the values in each boxes must lie between {4,15}.

In option A the values in the box include: {13,5,8,8,6,10,15,12,4,13,11}. The values of this data lies between 4 and 15 which makes it correct.

In the second option(B) the values in the boxes include: {2,10,13,7,9,5,15,12,7,13,11}.

The value 2 is not present in the interval, therefore the set of data is wrong.

In option C the values in the box include: {15,13,6,7,10,8,11,13,13,6,4}.

The values of this data lie between the interval of 4 and 15 which makes it correct.

In option D, the values in the box include: {4,13,6,7,15,12,11,10,5,13,9}·

The values of this data lie between the interval of 4 and 15 which makes it correct.

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: