Question

PLEASE HELP ME

Mean: $620 Median: $610 Mode: $600

The following statistics represent weekly salaries at the Midtown Construction Company: First quartile: $580

Third quartile: $645 85th percentile $685

c. About what percent of employees’ salaries surpassed $645?

d. About what percent of employees’ salaries surpassed $685?

e. If the company has 100 employees, what is the total weekly salary of all employees?

Answer 1

The mean, median, and mode of the weekly salaries at the Midtown Construction Company are provided. We can use this information to answer questions about the percentage of salaries surpassing certain values and the total salary of all employees.

Step-by-step explanation:

To answer the question, we need to understand what each statistical term means.

The mean is the average of a set of numbers. In this case, the mean salary is $620.

The median is the middle value of a set of numbers when they are arranged in ascending order. In this case, the median salary is $610.

The mode is the value that appears most frequently in a set of numbers. In this case, the mode salary is $600.

Now, let's answer the questions:

c. To find the percentage of employees' salaries that surpassed $645, we need to calculate the percentage of values that are greater than $645 in the data set. Since the third quartile is $645, we know that 75% of the salaries are less than or equal to $645. Therefore, about 25% of the salaries surpassed $645.

d. To find the percentage of employees' salaries that surpassed $685, we need to calculate the percentage of values that are greater than $685 in the data set. Since the 85th percentile is $685, we know that 85% of the salaries are less than or equal to $685. Therefore, about 15% of the salaries surpassed $685.

e. To find the total weekly salary of all employees, we need to multiply the mean salary ($620) by the number of employees (100). Therefore, the total weekly salary of all employees is $62,000.

Answer 2

Mean: $620, Mode: $600

Let's sort the rank stats.

First quartile: $580

Median: $610

Third quartile: $645

85th percentile: $685

OK, we're ready. What happened to a and b?

c. $645 is the third quartile, 75th percentile. That means 25% of the salaries are higher.

Answer: 25%

d. $685 is the 85th percentile, 15% greater.

Answer: 15%

e. The mean is the sum of all the salaries divided by the count.

Mean = Sum / Count

So the sum is the count times the mean,

Sum = Count × Mean = 100 × $620 = $62,000

Big payroll.

Answer: $62,000