Question

consider the following salaries for the executives of a certain company.
position\tsalary
president\t$190,000
1st vp\t$130,000
2nd vp\t$120,000
supervising manager\t$64,000
accounting manager\t$50,000
personnel manager\t$50,000
department manager\t$30,000
department manager\t$30,000
what is the mode? (enter your answers as a comma - separated list. if an answer does not exist, enter dne.)
dollars
enter a mathematical expression. find the mean, median, and mode of a data set

Explanation:

Step1: Recall the definition of mode

The mode of a data set is the value that appears most frequently.

Step2: Count the frequency of each salary

• $190,000: appears 1 time.
• $130,000: appears 1 time.
• $120,000: appears 1 time.
• $64,000: appears 1 time.
• $50,000: appears 2 times (Accounting manager, Personnel manager).
• $30,000: appears 2 times (two Department managers).

Wait, wait, let's check again. Wait, the salaries are: $190,000, $130,000, $120,000, $64,000, $50,000, $50,000, $30,000, $30,000. So $50,000 occurs twice, $30,000 occurs twice, and others once. Wait, but mode can be bimodal (two modes) if two values have the highest frequency. Wait, let's count again:

• President: 190k (1)
• 1st VP: 130k (1)
• 2nd VP: 120k (1)
• Supervising manager: 64k (1)
• Accounting manager: 50k (1)
• Personnel manager: 50k (2)
• Department manager: 30k (1)
• Department manager: 30k (2)

So both $30,000 and $50,000 appear twice, which is the highest frequency (others appear once). So the modes are $30,000 and $50,000. Wait, but let's confirm the frequency:

List of salaries: 190000, 130000, 120000, 64000, 50000, 50000, 30000, 30000.

Count each:

• 190000: 1
• 130000: 1
• 120000: 1
• 64000: 1
• 50000: 2
• 30000: 2

So the highest frequency is 2, achieved by 30000 and 50000. So the modes are 30000 and 50000.

Answer:

30000, 50000