Daily temperature

The average daily temperature measurement for one week every day at the same hour was -2.8 °C. We measured all temperatures on different days are different. The highest daily maximum temperature was 2.4 °C, and the lowest was -6 °C. Determine the options for measuring temperature in the remaining five days.

Correct answer:

a =  -3.4 °C
b =  -3.3 °C
c =  -3.2 °C
d =  -3.1 °C
f =  -3 °C

Step-by-step explanation:

$$\begin{gathered} -6\le x\le 2.4 \\ (-6+2.4+a+b+c+d+e)/7=-2.8 \\ s=a+b+c+d+e \\ s=7\cdot (-2.8)+6-2.4=-16 \\ p=s/5=(-16)/5=-\frac{16}{5}=-3.2 \\ a=p-0.2=(-3.2)-0.2=-3.4\text{°C} \end{gathered}$$

$b=a+0.1=(-3.4)+0.1=-3.3\text{°C}$

$c=b+0.1=(-3.3)+0.1=-3.2\text{°C}$

$d=c+0.1=(-3.2)+0.1=-3.1\text{°C}$

$$\begin{gathered} f=d+0.1=(-3.1)+0.1=-3 \\ k=(-6+a+b+c+d+f+2.4)/7=(-6+(-3.4)+(-3.3)+(-3.2)+(-3.1)+(-3)+2.4)/7=-\frac{14}{5}=-2.8 \\ f=d+0.1=(-3.1)+0.1=-3\text{°C} \end{gathered}$$

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