Question

the following statistics represent weekly salaries at a construction company.

\\(\

$$\begin{array}{llll} \\text{mean} & \\$515 & \\text{first quartile} & \\$430 \\\\ \\text{median} & \\$485 & \\text{third quartile} & \\$605 \\\\ \\text{mode} & \\$540 & \\text{95th percentile} & \\$613 \\end{array}$$

\\)

the most common salary is \\$540.

the salary that half the employees salaries surpass is \\$\box.

the percent of employees salaries that surpassed \\$605 is \\$\box\\%.

the percent of employees salaries that were less than \\$430 is \\$\box\\%.

the percent of employees salaries that surpassed \\$613 is \\$\box\\%.

if the company has 100 employees, the total weekly salary of all employees is \\$\box.

Explanation:

Identify the most common salary

Using the Mode Calculation knowledge point

$$ \text{Most common salary} = \text{Mode} = \$540 $$

Determine the salary that half the employees' salaries surpass

Using the Median Calculation knowledge point

$$ \text{Median} = \$485 $$

Calculate the percent of salaries surpassing \$605

Using the Third Quartile Calculation knowledge point

$$
LATEXBLOCK0
$$

Calculate the percent of salaries less than \$430

Using the First Quartile Calculation knowledge point

$$ Q_1 = \$430 \implies 25\% \text{ are less than } \$430 $$

Calculate the percent of salaries surpassing \$613

Using the Percentiles knowledge point

$$
LATEXBLOCK1
$$

Calculate the total weekly salary for 100 employees

Using the Mean Calculation knowledge point

$$
LATEXBLOCK2
$$

Answer:

No.	Answer
2	\(485\)
3	\(25\)
4	\(25\)
5	\(5\)
6	\(51,500\)