Question
In a tournament for 64 teams, each game is played between two teams. Each team plays one game in the first round. For all rounds, the winning team of each game advances to play a game in the next round, and the losing team is eliminated from the tournament. How many teams remain to play in the fourth round of the tournament?
- 4
- 8
- 16
- 32
The correct answer is: 8
HINT :- Let the no. of participants in the round n-1 is An-1 then no. of participants in n th round An is equal to 
. Half of the previous round were lost and eliminated .
Explanation :-
Step 1:
Let the no. of participants in the round n-1 is An-1 then no. of participants in n th round An is equal to . Half of the previous round were lost and eliminated.
Step 2:
Given , A1= 64 then find A4 ?
A4 = 
A3 = 
= 
= 16.
A4 = 
= 
= 8.
Then no. of teams in round 4 will be 8.
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The standard deviation is the degree of scatter or dispersion of the data points to their mean in descriptive statistics.
It provides information on the distribution of values within the data sample and verifies how widely apart the data points are from the mean.
A square root of the variance of a sample, statistical population, random variable, data collection, or probability distribution represents its standard deviation.
How to Calculate Standard Deviation
1.) Discover the observations' mean and arithmetic mean.
2.) Find the squared deviations from the mean. (The data value - mean) 2
3.) Calculate the squared difference average. (Variance = The total squared differences divided by the total number of observations)
4.) Determine the variance's square root. (Standard deviation = Square root of variance)
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