I am taking on-line classes and I have a lot of homework I was wondering if someone can help me...?

Question

Sometimes, we can take a weighted approach to calculating the mean. Take the example of high temperatures in July. Suppose it was 98°F on 7 days, 96°F on 14 days, 88°F on 1 day, 100°F on 6 days and 102°F on 3 days. Rather than adding up 31 numbers, we can find the mean by doing the following:

Mean = ( 1 x 88 + 14 x 96 + 7 x 98 + 6 x 100 + 3 x 102) / 31

…where 1, 14, 7, 6, and 3 are the weights or frequency of a particular temperature’s occurrence. Then we divide by the total of number of occurrences.

Suppose we are tracking the number of home runs hit by the Boston Red Sox during the month of August:

Number of Games HRs Hit each Day
2 3
5 2
6 1
7 0
Using the weighted approach, calculate the average number of home runs per game hit by the Sox

Answer 1

Mean = (2 x 3 + 5 x 2 + 6 x 1 + 7 x 0) / 20=

(6 + 10 + 6 + 0)/ 20 = 22/20 = 1.1

Average: 1.1

Answer 2

Just as in your example,
2 + 5 + 6 + 7 = 20 games
mean = (2*3 + 5*2 + 6*1 + 7*0) / 20 HRs