Consider the data set: 26, 29, 24, 17, 27, 20, 23, 21, 26, 27.

(a) Find the median and the upper and lower quartiles for this data set.

(b) Setup then evaluate the numerical expression for the mean of this data set. You must write it out completely.

(c) Setup and then evaluate the numerical expression for the variance of this data set. You must write it out completely.

(d) Find the standard deviation of this data set.

a) Median = 24, Lower quartile = 21, upper quartile = 27

b) Mean = 23.67

c) Variance = 12.8889

d) Standard deviation = 3.59

Step-by-step explanation:

Find the solution in the attachment below:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

if im not mistaking its

step-by-step explanation: