Question

the following statistics represent weekly salaries at a construction company.

mean: $515, first quartile: $430
median: $485, third quartile: $605
mode: $540, 95th percentile: $613

the most common salary is $ .

the salary that half the employees salaries surpass is $ .

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

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

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

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

Explanation:

Identify the most common salary

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

Identify the median salary

$$ \text{Value that half the salaries surpass} = \text{Median} = \$485 $$

Calculate percentages from quartiles and percentiles

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Calculate the total weekly salary

$$ \text{Total Salary} = \text{Mean} \times \text{Number of employees} = 515 \times 100 = 51500 $$

Answer:

Question 1

The most common salary is $<blank>540</blank>.

Question 2

The salary that half the employees' salaries surpass is $<blank>485</blank>.

Question 3

The percent of employees' salaries that surpassed $605 is <blank>25</blank>%.

Question 4

The percent of employees' salaries that were less than $430 is <blank>25</blank>%.

Question 5

The percent of employees' salaries that surpassed $613 is <blank>5</blank>%.

Question 6

If the company has 100 employees, the total weekly salary of all employees is $<blank>51500</blank>.