Suppose that the value of a stock varies each day from $11.82 to $15.17 with a uniform distribution. Find the third quartile, i. e., 75% of all days the stock is below what value?

Third quartile (Q3) = $14.3325

Step-by-step explanation:

Given:

Stock varies = $11.82 to $15.17

Find:

Third quartile (Q3) ,(75%)

Computation:

[Q3 - 11.82] / [15.17 - 11.82] = 0.75

[Q3 - 11.82] / [3.35] = 0.75

[Q3 - 11.82] = 2.5125

Q3 = 2.5125 + 11.82

Q3 = $14.3325

Third quartile (Q3) = $14.3325

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.

the answer is:

mean: 6

mad: 2.14