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LiRa [457]
4 years ago
10

The mean of a set is not affected by outliers. true or false.

Mathematics
2 answers:
Yuri [45]4 years ago
8 0
It is false beacuse you have to add up all the numbers including the outliers to get the mean
elena55 [62]4 years ago
6 0

Answer:

False.

Step-by-step explanation:

We have been given a statement. We are asked to determine whether our given statement is true or false.

Statement:

The mean of a set is not affected by outliers.

We know that mean is the average of all the data points of a data set.

When our data set will have a large value data point, the mean will be above the center of data set.

When our data set will have a small value data point, the mean will be below the center of data set.

Therefore, the mean of a a set is always affected by outliers and our given statement is false.

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This problem is taken from the delightful book "Problems for Mathematicians, Young and Old" by Paul R. Halmos. Suppose that 681
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680 games

Step-by-step explanation:

Suppose that 681 tennis players want to play an elimination tournament.

1st round:

One of 681 players, chosen at random, sits out that round and 680 players play. There will be 340 winners plus one player which sits - 341 players for the next round and 340 games

2nd round:

There will be 170 winners plus one player which sits - 171 players for the next round and 170 games

3rd round:

There will be 85 winners plus one player which sits - 86 players for the next round and 85 games

4th round:

There will be 43 winners - 43 players for the next round and 43 games

5th round:

There will be 21 winners plus one player which sits - 22 players for the next round and 21 games

6th round:

There will be 11 winners  - 11 players for the next round and 11 games

7th round:

There will be 5 winners plus one player which sits - 6 players for the next round and 5 games

8th round:

There will be 3 winners  - 3 players for the next round and 3 games

9th round:

There will be 1 winner plus one player which sits - 2 players for the next round and 1 game

10th round - final:

1 champion and 1 game.

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