Grant spent 2.50,$4.00,$4.25, and $3.25?On breakfast one week.The next week he spent $6 more in total for the 4 breakfasts than the week before. What is the increase in the mean for the second compared to the first

Respuesta :

2,50 + 4 + 4,25 + 3,25 = 14$

6/14 = 3/7 = 42,8% increase

Answer:

The mean increased by $1.5 and percent increase is 42.85%.

Step-by-step explanation:

Formula for mean:

[tex]Mean=\frac{\sum x}{n}[/tex]

It is given that Grant spent $2.50, $4.00, $4.25, and $3.25 on breakfast one week.

Total money spent by him in first week is

[tex]2.50+4.00+4.25+3.25=14[/tex]

Mean for first week is

[tex]Mean_1=\frac{14}{4}=3.5[/tex]

The next week he spent $6 more in total for the 4 breakfasts than the week before.

Total money spent by him in second week is

[tex]14+6=20[/tex]

Mean for second week is

[tex]Mean_1=\frac{20}{4}=5[/tex]

Increase in mean

[tex]5-3.5=1.5[/tex]

Therefore the mean increased by $1.5.

Percent increase in mean is

[tex]\%change=\frac{Mean_2-Mean_1}{Mean_1}\times 100[/tex]

[tex]\%change=\frac{1.5}{3.5}\times 100\approx 42.85[/tex]

Therefore the mean increased by $1.5 and percent increase is 42.85%.