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1.The first week at Javier's new job he spent $12.48, $9.50, $10.25, $4.99, and $8.59 on lunch.

In the second week, he spent $3 more in total for the 5 lunches than the first week.

What is the increase in the mean for the second week compared to the first?



Round the answer to the nearest penny.


2.Joshua tracks the points he scores in 10 basketball games. In two games Joshua scored 8 points each, in one game he scored 3 points, in two games he scored 7 points each, in four games he scored 1 point in each game and in the last game Joshua scored 5 points.

What is the average number of points Joshua scores rounded to one decimal place?


Respuesta :

Q1. The answer is $0.60.

Step 1. Calculate the mean of the first week (M1).
Step 2. Calculate the mean of the second week (M2).
Step 3. Subtract M1 from M2.

The mean (M) is the total sum of all values (x) divided by the number of values (n): M = x/n

Step 1. 
M1 = ?
x1 = $12.48
x2 = $9.50
x3 = $10.25
x4 = $4.99
x5 = $8.59
x1 = x1 + x2 + x3 + x4 + x5 = 12.48 + 9.50 + 10.25 + 4.99 + 8.59 = 45.81
n1 = 5

M1 = x1/n1 = 45.81/5 = $9.16

Step 2. 
M2 = ?
In the second week, he spent $3 more in total for the 5 lunches than the first week: x2 = x1 + 5 = 45.81 + 3 = 48.81
n2 = 5

M2 = 48.81/5 = $9.76

Step 3. 
What is the increase in the mean for the second week compared to the first?
M2 - M1 = $9.76 - $9.16 = $0.60



Q2. The answer is 
4.2 points

The mean (M) is the total sum of all values (x) divided by the number of values (n): M = x/n

M = ?
n = 10
x = x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10
x1 = x2 = 8 points
x3 = 3 points
x4 = x5 = 7 points
x6 = x7 = x8 = x9 = 1 points
x10 = 5 points
x = 8 + 8 + 3 + 7 + 7 + 1 + 1 + 1 + 1 + 5 = 42

M = x/n = 42/10 = 4.2 points

Answer:

the answer is $ 0.60