Question

Jacquez is a scientist running a month-long experiment on the growth of E. Coli in warm and cool environments. He put cultures into 10 different petri dishes foreach environment. Below are the population sizes of each petri dish at the end of the experiment. 1. Compare the two data sets visually. Be sure to include your visuals and a discussion of measures of center and variability. 2. Find the measures of center and variability in the table. Be sure to show all your work.

Answer 1

Step-by-step explanation:

Given that:

`\begin{gathered} Warm:61,100,13,96,68,89,80,74,96,56 \\ Cool:53,7,73,4,70,82,73,40,50,10 \end{gathered}`

1.

Graph 1 (Warm):

Graph 2 (Cool):

2. The measure of center and variability is shown below:

Mean:

`\begin{gathered} \mu=(\Sigma f(x))/(N) \\ \\ Warm \\ \begin{equation*} \mu=(61+100+13+96+68+89+80+74+96+56)/(10) \end{equation*} \\ \mu=(733)/(10)=73.3 \\ \mu=73.3 \\ \\ Cool \\ \begin{equation*} \mu=(53+7+73+4+70+82+73+40+50+10)/(10) \end{equation*} \\ \mu=(462)/(10)=46.2 \\ \mu=46.2 \end{gathered}`

Median:

`\begin{gathered} Warm \\ \text{Arrange data set in ascending order:} \\ 13,56,61,68,74,80,89,96,96,100 \\ Median=(74+80)/(2) \\ Median=(154)/(2)=77 \\ Median=77 \\ \\ Cool \\ \text{Arrange the data in ascending order:} \\ 4,7,10,40,50,53,70,73,73,80 \\ Median=(50+53)/(2) \\ Median=(103)/(2)=51.5 \\ Median=51.5 \end{gathered}`