Question

B. Section 7.2Salaries for the research and development department of Richman Chemical are given as $48,397;$27,982; $42,591; $19,522; $32,400; and $37,582.a. Find the mean rounded to the nearest dollar.b. Find the median.c.Find the mode.d. Write a statement about the data set based on your findings.C. Section 7.3The data shows the total number of employee medical leave days taken for on-the-job accidents in thfirst six months of the year: 12, 6, 15, 9, 18, 12. Use the data for the Exercise.Find the mean number of days taken for medical leave each month.

Answer 1

We are given the following salaries for the research and development department:

$48,397

$27,982

$42,591

$19,522

$32,400

$37,582

We are asked to find the mean, median, and mode of the given data set.

To find the mean, we will use the following formula:

`Mean=\frac{sum\text{ }of\text{ }all\text{ }data}{number\text{ }of\text{ }data}`

So the mean is $34,746 calculated as follows:

`\begin{gathered} Mean=(48,397+27,982+42,591+19,522+32,400+37,582)/(6) \\ \\ Mean=(208,474)/(6) \\ \\ Mean=34,745.67 \end{gathered}`

To find the median, we will have to arrange the data set and find the middle value. Because we have 6 data, we will get the average of the two middle numbers.

$19,522 $27,982 $32,400 $37,582 $42,591 $48,397

The two middle values are $32,400 and $37,582. Their average, $34,991, is the median.

`\begin{gathered} Median=(32,400+37,582)/(2) \\ \\ Median=(69,982)/(2) \\ \\ Median=34,991 \end{gathered}`

Finally, to find the mode, we will have to get the most frequently occurring value. In this data set, though, all elements are unique. So there is no mode.