All AP Statistics Resources
Example Questions
Example Question #1 :How To Find Mean Of A Random Variable
Let us suppose you are a waiter. You work your first four shifts and receive the following in tips: (1) 20, (2) 30, (3) 15, (4) 5. What is the mean amount of tips you will receive in a given day?
The answer is 17.5. Simply take the values for each day, add them, and divide by the total number of days to obtain the mean:
Example Question #2 :How To Find Mean Of A Random Variable
There arecollectable coins in a bag.areounces,areounces,areounces, andareounces. If one coin is randomly selected, what is the mean possible weight in ounces?
We are required to find the mean outcome where the probability of each possible result varies--the random/weighted mean.
First, multiply each possible outcome by the probability of that outcome occurring.
Second, add these results together.
Example Question #3 :How To Find Mean Of A Random Variable
A basketball player makesof his three-point shots. If he takesthree-point shots each game, how many points per game does he score from three-point range?
First convert.
The player's three-point shooting follows a binomial distribution withand.
On average, he thus makesthree-point shots per game.
This means he averages 12 points per game from three-point range if he tries to make 10 three-pointers per game.
Example Question #4 :How To Find Mean Of A Random Variable
Tim samples the average plant height of potato plants for his science class and finds the following distribution (in inches):
Which of the following is/are true about the data?
i: the mode is
ii: the mean is
iii: the median is
iv: the range is
ii, iii & iv
all of the above
i, ii & iii
i & ii
i & iii
i & ii
Analyzing the data, there are more 6s than anything else (mode), the median is betweenand, the mean is, and the range is
Example Question #5 :How To Find Mean Of A Random Variable
Robert's work schedule for next week will be released today. Robert will work either 45, 40, 25, or 12 hours. The probabilities for each possibility are listed below:
45 hours: 0.3
40 hours: 0.2
25 hours: 0.4
12 hours: 0.1
What is the mean outcome for the number of hours that Robert will work?
We are required to find the mean outcome where the probability of each possible result varies--the random/weighted mean. First, multiply each possible outcome by the probability of that outcome occurring. Second, add these results together.
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