Question

Salaries for the research and development department are given as $48, 397; $27,617 542,573, $19,551 $32,400, and $37,598. Complete parts a through d below.a. Find the meanThe mean is $ 34689(Round to the nearest whole number as needed.)b. Find the medianThe median is $c. Find the mode.

Answer 1

Given:

Salaries for the research and development department are given as:

$48, 397 ; $27,617 ; $42,573, $19,551 $32,400, and $37,598

We will find the following:

a) Find the mean.

The sum of the salaries = 48,397 + 27,617 + 42,573 + 19,551 + 32,400 + 37,598

= 208,136

The number of the salaries = 6

so, the mean =

`(208,136)/(6)=34,689.33`

Rounding to the nearest whole number

So, the answer will be Mean = 34,689

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b) Find the median.

First, we will arrange the data from the least to the greatest

19,551 ; 27,617 ; 32,400 ; 37,598 ; 42,573 ; 48,397

As the number of salaries is even (6), the median will be the average of the middle two data

`median=(32,400+37,598)/(2)=34,999`

So, the answer will be Median = 34,999

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c) Find the mode.

The mode is the most frequent data

as shown in the given data, each salary appeared one time.

So, there is no mode

The answer will be option B) There is no mode.