contestada

Week 1: saves $ 35 Week 2 : saves $ 10 Week 3: spends $ 20 Week 4: spends $ 5 Week 5 saves $15 Week 6: saves $10 Susan wants to go on a vacation to the beach with her friends . For six weeks she keeps track of how much money she spends and saves . For the next six weeks she plans on increasing the amount she saves by $10 and decreasing the amount she spends by $5. How will this affect the MEAN amount of money that Susan has ? A) The mean will not change . B) The mean will increase by approximately $5. ) The mean will increase by approximately $ 8. D) The mean will increase by approximately $15. E) The mean will increase by approximately $30.

Week 1 saves 35 Week 2 saves 10 Week 3 spends 20 Week 4 spends 5 Week 5 saves 15 Week 6 saves 10 Susan wants to go on a vacation to the beach with her friends F class=

Respuesta :

B) The mean will increase by $5

1) The first scenario has the following mean, adding all the spendings and savings:

[tex]x=\frac{35+10+20+5+15+10}{6}=\frac{95}{6}=15.83[/tex]

2) Since for the following week there's an increase of $10 for her savings and a decrease of $ 5 we can write:

[tex]\begin{gathered} x=\frac{(35+10)+(10+10)+(20-5)+(5-5)+(15+10)+(10+10)}{6}= \\ =\frac{45+20+15+0+25+20}{6}=\frac{125}{6}=20.83 \end{gathered}[/tex]

3) We can see that the mean changes, and examining the options we can state that:

the answer is B, the mean will increase by $5