Which box plot represents a symmetrically distributed data set?

The box in figure C represents a symmetrically distributed data set.

Step-by-step explanation:

Given 4 figures A, B, C and D.

we have to select the figure in which box plot represents a symmetrically distributed data set.

Symmetrical distribution data set show two sides that mirror each other i.e distance from both sides left and right to the middle point is same.

In the figure A, B and D, highest value of box i.e range minus the lowest value i.e domain then take the average gives the middle point which does not lies on the line represent between the box shown in figure. Therefore, box in Figure A does not represents symmetrically distributed data set.

The above condition satisfies by the figure C.

Hence, the box in figure C represents a symmetrically distributed data set.

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!