Question

This year, John played in 10 baseball games. In these games he had hit the ball 2,3,1,1,3,2,4,6,2, and x times. The mean is 3 hits per game. Find the missing value

Answer 1

Explanation:

To solve this problem, we need to use the formula for calculating the mean or average of a set of data, which is:mean = sum of all values / number of valuesLet's first find the mean of John's hits in the 10 games he played this year:mean = (2+3+0+1+3+2+4+0+2+3) / 10 = 2.0So, John's mean hits per game in the 10 games he played this year is 2.0.To increase his mean by 0.5 in the first 10 games he plays next year, John needs to achieve a mean of 2.5 hits per game. Let's call the total number of hits John needs to achieve this mean "x".To find "x", we can use the formula for calculating the mean again:2.5 = (total number of hits in the next 10 games + total number of hits in the previous 10 games) / 20Multiplying both sides by 20, we get:total number of hits in the next 10 games + total number of hits in the previous 10 games = 50Substituting the total number of hits in the previous 10 games with the sum of all hits John had in those games, we get:total number of hits in the next 10 games + (2+3+0+1+3+2+4+0+2+3) = 50Simplifying this equation, we get:total number of hits in the next 10 games = 50 - 20 = 30Therefore, John needs to achieve a total of 30 hits in the first 10 games he plays next year to increase his mean hits per game by 0.5. So, the answer is (3) 20.

Answer 2

x = 3

Explanation:

The mean is the average so set up an equation that adds up all the points and divides them by the total, set equal to 3, and solve for x

(2+3+1+1+3+2+4+6+2+x)/10 = 3

(24 + x)/10 = 3

24 + x = 30

x = 6

To check if this is correct, add up all the numbers and divide by 10.

2+3+1+1+3+2+4+6+2+6 = 30/10 = 3