Question $2-18$ marks

Adriane is comparing the $C{O}_2$ outputs of the top $19$ energy suppliers in $2017$

$C{O}_2$ outp $C{O}_2$ output of Energy suppliers in $2017$ and $2021$

$4$ di $11$

page $3$ of $11$

$($a$)($i$)$ Enter the values from Table $1$ above into two new lists in Dataplotter. Copy and complete the table below, rounding values, decimal place, is given for you as a check that you have entered the data correctly.$)$

$\backslash$table$[[,\backslash$table$[[C{O}_2$ output $2017],[($g per kWh $)]],\backslash$table$[[C{O}_2$ output $2021],[($g per kWh $)]]],[$Min$,,],[$Median$,,],[$Max$,,],[$Mean$,171\mathrm{.}3,108\mathrm{.}1],[$SD$,,],[$IQ range,,$],[$Range$,,]]$

$($ii$)$ Use the two measures of location to say which year had a greater $C{O}_2$ output per kWh on average.

$($iii$)$ Use all three measures of spread to say which year had the greater

variability in $C{O}_2$ output per kWh $.$ Create boxplots fout per kWh $.$

$($b$)($i$)$ Create boxplots for these two datasets $($either drawn by hand or them with the rest of your EMA. Include all the relevant information required for drawing boxplots as set out in Subsection $1\mathrm{.}2$ of Unit $11$

The summary values can be displayed on the boxplots themselves or whether the data are symmetric or skewed. If the data are skewed then state whether they are skewed to the left or skewed to the right. What does this tell you about how the data are spread in the

$($iii$)$ Adriane tries to summarise what the boxplots are telling her. Are the following statements true or false? In each case justify your answer.

$(1)$ In $2017$ about three$-$quarters of the top $19$ energy companie produced more than $234$ g of $C{O}_2$ output per kW

In $2021$ roughly half of the top $19$ energy

more than $42$ g of $C{O}_2$ output per kWh $.$

$2]$

$3$

I

$2$

$3$

$[2]$

$2$

page $4$ of $11$

$($c$)$ Adriane also looks at the output of waste from nuclear energy generation for the same $19$ energy suppliers

summary of the data is recorded in Table $2.$

Table $2$ Output of waste from nuclear energy generation of Energy suppliers in $2017$ and $202$

$\backslash$table$[[,\backslash$table$[[2017$ high$-$level nuclear waste$],[($mg per kWh $)]],\backslash$table$[[2021$ high$-$level nuclear waste$],[($mg per kWh $)]]],[$Min$,0,0],[$Median$,0\mathrm{.}38,0],[$Max$,5\mathrm{.}4,4\mathrm{.}3],[$Mean$,0\mathrm{.}66,0\mathrm{.}51],[$SD$,1\mathrm{.}19,1\mathrm{.}01],[$IQ range,$0\mathrm{.}79,0\mathrm{.}69],[$Range$,5\mathrm{.}4,4\mathrm{.}3]]$

She creates dotplots for the nuclear waste data, shown in Figure $1,$ but forgets to labe

your answer.

$2$

Figure $1$