Respuesta :

From the bar chart, extract the necessary information then proceed to answer the questions under it

Key formula to use, is average formula

[tex]\bar{x}=\frac{\Sigma x}{n}[/tex]

The list of values for the high temperature in degrees fahrenheit is given below

[tex]\text{High Temp.= }\mleft\lbrace26,38,50,62,77,95,97,79,65,52,43,24\mright\rbrace[/tex]

The list of values for the low temperature in degrees fahrenheit is given below

[tex]Low\text{ Temp.= }\lbrace-15,-11,-1,6,26,38,32,22,10,3,-14,-12\rbrace[/tex]

a) The average monthly low temperature for Bogusville will be

[tex]\begin{gathered} \Rightarrow\frac{-15+(-11)+(-1)+6+26+38+32+22+10+3+(-14)+(-12)}{12} \\ \Rightarrow\frac{84}{12}=7^0F \end{gathered}[/tex]

b)The average monthly high temperature for Bogusville will be

[tex]\begin{gathered} \Rightarrow\frac{26+38+50+62+77+95+97+79+65+52+43+24}{12} \\ \Rightarrow\frac{708}{12}=59^0F \end{gathered}[/tex]

c)The second quarter falls within the 4th,5th and 6th months of the year.

Thus the average monthly high temperature for Bogusville will be

[tex]\Rightarrow\frac{62+77+95}{3}=\frac{234}{3}=78^0F[/tex]

d)he first quarter falls within the 1st,2nd and 3rd months of the year.

Thus the average monthly low temperature for Bogusville will be

[tex]\Rightarrow\frac{(-15)+(-11)+(-1)}{3}=\frac{-27}{3}=-9^0F[/tex]