x and y are given as below,

x $=\{2,5,8,2,3,6,4,9,3,5\}$ y $=\{1,3,5,1,2,4,2,6,1,2\}$

Provide the R coding to compute the following functions. Note, we will use X$$ and Y$$ to denote the i$\text{'}$ element of x and y$,$ respectively etc.

a$)$ Create a data frame that contains the information of x and y$.$ Name it as data$1.$

$[2$ Marks$]$

b$)$ Find log$10($X$)$ for each i$.[2$ Marks$]$

c$)$ Find $2($Y$-0\mathrm{.}5)$ for each i$.[2$ Marks$]$

d$)$ Find the standard deviation and range of x and y$,$ respectively. $[8$ Marks$]$

e$)$ Add the information of gender to the data set, data$1,$ and name the new data frame as data$2.$

gender $=\{$ F$,$F$,$M$,$ M$,$ F$,$ M$,$ F$,$F$,$M$,$ M$\}$

$[3$ Marks$]$

f$)$ Extract the information of x from the data set, data$2,$ for those are females.

$[3$ Marks$]$