Q. 3.26 - Elementary Statistics

Question

Find the 

a. Mean    b. median      c. mode

For the mean and the median, round each answer to one more decimal place than that used for the observations.

Router Horsepower. In the article "Router Roundup" T. Kleck reported on tests of seven fixed-base routers for performance, features, and thandling. The following table gives the horsepower (hp) for each of the seven routers tested. 

$1.75 2.25 2.25 2.25 1.75 2.00 1.50$

Step-by-Step Solution

Answer

$$\begin{gathered} a\left)2hp \\ b\right)2.00 hp \\ c) 2.25 hp \end{gathered}$$ 

Step 1. Given information.

We have given data: $1.75 2.25 2.25 2.25 1.75 2.00 1.50$

Step 2. Mean of the data.

Mean =$=\frac{Sum of observation }{Number of observation}$

$$\begin{gathered} =\frac{1.75+2.25+2.25+2.25+1.75+2.00+1.50}{7} \\ =1.964285714 \\ =2hp \end{gathered}$$

Step 3. Median of the data.

Arrange the data in increasing order : $1.50, 1.75, 1.75, 2.00, 2.25, 2.25, 2.25$

The number of observation is  $7$.

The median is the  middle observation in the ordered list.

Median$=2.00 hp$

Step 4. Mode of the data.

The greatest frequency is the mode of the data set.  

The mode of the given data set is $2.25 hp$.