Of the range, the interquartile range, and the variance, the interquartile range is least influenced by an outlying value in the data set. truefalse

True

Step-by-step explanation:

The Interquartile Range (IQR) is a more robust measure of variability because it excludes outliers from the distribution. Due to this fact, the IQR works with only 50% of the central data excluding the outlying values in the data set from its calculation.

The variance is affected by outliers, and the Range is way more affected by only the first and the last observation.

So, yes the IQR is the least influenced. Therefore, a more robust measure of variability.

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.

mxb67

step-by-step explanation: