The mean, median and mode are typically the same when a sample exhibits significant dispersion. a. true b. false

Answer with explanation:

Dispersion:

→Mean ,Median and Mode are all measures of central tendency. These three helps to determine how a Data set behaves with the help of a single number.

→Measures of dispersion is accurately described  by any of Inter-quartile range(IQR),Variance , Standard Deviation or MAD(Mean Absolute Deviation). Dispersion describes how a data set is distributed with the help of  any one of the three measure of central tendency which is Mean, Median or Mode.Data set can be Horizontally Dispersed or Vertically dispersed.

⇒So, In the case of Dispersion , the mean, median and mode are typically the same when a sample exhibits significant dispersion is:

→False Statement

→Any of the two can be equal but not all three.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.