Question

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

Answer 1

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

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

Answer 2

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

Explanation:

Formula for mean:

`Mean=(\sum x)/(n)`

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

`2.50+4.00+4.25+3.25=14`

Mean for first week is

`Mean_1=(14)/(4)=3.5`

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

`14+6=20`

Mean for second week is

`Mean_1=(20)/(4)=5`

Increase in mean

`5-3.5=1.5`

Therefore the mean increased by $1.5.

Percent increase in mean is

`\%change=(Mean_2-Mean_1)/(Mean_1)* 100`

`\%change=(1.5)/(3.5)* 100\approx 42.85`

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