Question $1($Computer$)(1$ mark$)$

Load the agpop.csv file in an object names agdata.

Question $2($Computer$)(2$ marks$)$

Explore the structure of the dataframe. What are the variable$/$colnames for this data?

Question $3($Computer$)(1$ mark$)$

Select only the data corresponding to the acres$92$ variable in the agdata dataframe. Save this data as a

new object named agdata.acres$92$

Question $4($Computer$)(2$ marks$)$

Calculate the mean and standard deviation of the new agdata.acres$92$ object.

Question $5($Computer$)(7$ marks total$)$

In the following study, $20$ manuscripts of an unknown author were found. Some of the evidence proved

that these unknown manuscripts were either written by author A or author B$.$ To decide between these two

individuals it was decided to record the frequency $($for every $400$ words$)$ that they used the word $$the$$ in

their writings.

Here we are given the frequency of the word $$the$$ in $50$ manuscripts of author A : $13\mathrm{.}4,6\mathrm{.}0,9\mathrm{.}6,8\mathrm{.}1,11\mathrm{.}2,$

$11\mathrm{.}9,22\mathrm{.}4,13\mathrm{.}2,8\mathrm{.}8,5\mathrm{.}3,12\mathrm{.}4,7\mathrm{.}2,12\mathrm{.}0,10\mathrm{.}5,3\mathrm{.}8,12\mathrm{.}0,13\mathrm{.}1,8\mathrm{.}7,8\mathrm{.}8,12\mathrm{.}3,12\mathrm{.}2,5\mathrm{.}8,11\mathrm{.}7,6\mathrm{.}5,6\mathrm{.}3,9\mathrm{.}9,8\mathrm{.}1,2\mathrm{.}3,$

$13\mathrm{.}4,16\mathrm{.}3,1\mathrm{.}8,15\mathrm{.}5,5\mathrm{.}9,2\mathrm{.}9,18\mathrm{.}3,17\mathrm{.}5,13\mathrm{.}4,10\mathrm{.}5,8\mathrm{.}3,12\mathrm{.}3,6\mathrm{.}3,8\mathrm{.}1,18\mathrm{.}3,4\mathrm{.}3,12\mathrm{.}6,4\mathrm{.}2,10\mathrm{.}7,12\mathrm{.}9,18\mathrm{.}9,16\mathrm{.}5.$

Here we are given the frequency of the word $$the$$ in $50$ manuscripts of author B: $7\mathrm{.}3,9\mathrm{.}1,9\mathrm{.}7,7\mathrm{.}9,4\mathrm{.}0,4\mathrm{.}9,$

$8\mathrm{.}9,5\mathrm{.}2,2\mathrm{.}7,5\mathrm{.}2,3\mathrm{.}0,7\mathrm{.}4,6\mathrm{.}4,8\mathrm{.}0,7\mathrm{.}1,9\mathrm{.}2,7\mathrm{.}1,4\mathrm{.}9,5\mathrm{.}3,7\mathrm{.}9,5\mathrm{.}1,5\mathrm{.}5,8\mathrm{.}6,5\mathrm{.}4,6\mathrm{.}3,6\mathrm{.}8,4\mathrm{.}4,2\mathrm{.}8,6\mathrm{.}3,5\mathrm{.}2,5\mathrm{.}0,$

$9\mathrm{.}4,2\mathrm{.}3,4\mathrm{.}9,4\mathrm{.}3,8\mathrm{.}0,5\mathrm{.}9,9\mathrm{.}4,5\mathrm{.}1,2\mathrm{.}7,5\mathrm{.}7,9\mathrm{.}4,5\mathrm{.}0,5\mathrm{.}2,8\mathrm{.}4,5\mathrm{.}3,7\mathrm{.}0,1\mathrm{.}1,4\mathrm{.}7,5\mathrm{.}6.$

Finally we are given the frequency of the word $$the$$ in $20$ manuscripts of the unknown author: $6\mathrm{.}0,5\mathrm{.}9,$

$1\mathrm{.}0,5\mathrm{.}5,8\mathrm{.}6,4\mathrm{.}1,5\mathrm{.}4,7\mathrm{.}9,5\mathrm{.}3,2\mathrm{.}1,7\mathrm{.}6,6\mathrm{.}7,5\mathrm{.}2,7\mathrm{.}8,9\mathrm{.}2,9\mathrm{.}4,2\mathrm{.}8,4\mathrm{.}8,7\mathrm{.}0,6\mathrm{.}6.$

$($a$)(3$ marks$)$ Draw histograms of these frequencies for the two known authors and the unknown author.

$($b$)(3$ marks$)$ Draw stem$-$leaf of these frequencies for the two known authors and the unknown author.

$($c$)(1$ mark$)$ Using the histograms and stem leaf plots above, who would you say wrote the unknown

manuscripts?

Question $6($Computer$)(3$ marks$)$

Work with data set $$survey$.$csv$.$ Draw histograms of the variable Wr$.$Hnd for all students, and respectively

for male and female students.

$1$