Please help me! Will mark brainliest or give loads of thanks. I will give 24 points and I will give extra higher bonus to those who explains the question clearly and gives me the correct answer and a reason. Here goes the questions down below:

Walkden Reds is a basketball team
At the end of 11 games, their mean score was 33 points per game.
At the end of 10 games, their mean score was 2 points higher.
Jordan says,
"Walkden Reds must have scored 13 points in their 11th game."
a)Find the total number of points Walkden Reds scored in their 11th games.
b)Write Walkden Reds' mean score at the end of 10 games.
c)Find the total number of points Walkden Reds scored in their 10 games.
d)Is Jordan right? Justify your answer

Respuesta :

Part a)

The process of finding the mean has us add up all the numbers in the set, then dividing by the number of numbers.

For example, the mean of the set {1,2,6} is (1+2+6)/3 = 9/3 = 3

Let S = total number of points at the end of 11 games

Dividing S over 11 will get us the mean of 33 points per game

The idea is to solve for S.

S/11 = 33

S = 11*33

S = 363

We don't know the individual point values for any given game, but we do know that the 11 scores add to 363.

Answer: 363 points

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Part b)

ppg = points per game

The mean ppg through 11 games is 33 ppg.

We're told that "At the end of 10 games, their mean score was 2 points higher." which tells us at the end of 10 games, they must have scored 33+2 = 35 ppg

Answer: 35 points per game

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Part c)

We'll use the result of part b) and follow the same idea mentioned in part a)

R = sum of the points through 10 games

R/10 = mean ppg through 10 games

R/10 = 35

R = 10*35

R = 350

Answer: 350 points

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Part d)

The answer to part a) was that the team scored a combined 363 points through 11 games. Then in part c), we found that the team scored a combined 350 points through 10 games.

Therefore, the team scored 363-350 = 13 points in their 11th game.

Answer: Jordan is correct