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Tallahassee Statewide Statistics Team Question 1
Given the following set of random data:
find the following:
6, 72, 42, 2, 31, 97, 3, 83, 62, 21
A = the mean of the set of data
B = the median of the set of data
C = the interquartile range of the set of data
D = the variance of the set of data
Tallahassee Statewide Statistics Team Question 1
Given the following set of random data:
find the following:
6, 72, 42, 2, 31, 97, 3, 83, 62, 21
A = the mean of the set of data
B = the median of the set of data
C = the interquartile range of the set of data
D = the variance of the set of data
Tallahassee Statewide Statistics Team Question 2
Mr. Desmond gives an English exam. The results of the exam form a normal
distribution with a mean of 73 and a standard deviation of 6. Round each final
answer for each part to four decimal places. Assume each part is independent of
every other part of this question.
A = the probability that a randomly selected student scored greater than 85.
B = the probability that a randomly selected student scored less than 60.
C = the probability that a randomly selected student scored between 65 and 78.
D = the probability that a randomly selected student scored greater than 80,
given that the student scored less than 90.
Tallahassee Statewide Statistics Team Question 2
Mr. Desmond gives an English exam. The results of the exam form a normal
distribution with a mean of 73 and a standard deviation of 6. Round each final
answer for each part to four decimal places. Assume each part is independent of
every other part of this question.
A = the probability that a randomly selected student scored greater than 85.
B = the probability that a randomly selected student scored less than 60.
C = the probability that a randomly selected student scored between 65 and 78.
D = the probability that a randomly selected student scored greater than 80,
given that the student scored less than 90.
Tallahassee Statewide Statistics Team Question 3
There is a negative linear relationship between the number of semesters taken in
college versus the starting salary of the first job after college. Let the number of
semesters be the explanatory variable and the starting salary be the response
variable. The mean number of semesters is 9 with a standard deviation of 2.
The mean starting salary is $48,000 with a standard deviation of $10,000. The
coefficient of determination is .281961. Find the following:
A = the slope of the line of best fit between the variables
B = the y-intercept of the line of best fit between the variables
C = Patrick goes to college for 8 semesters. Find Patrick’s predicted starting
salary.
D = Jennifer goes to college for 10 semesters and her starting salary after
college was $61,000. Find the value of Jennifer’s residual.
Tallahassee Statewide Statistics Team Question 3
There is a negative linear relationship between the number of semesters taken in
college versus the starting salary of the first job after college. Let the number of
semesters be the explanatory variable and the starting salary be the response
variable. The mean number of semesters is 9 with a standard deviation of 2.
The mean starting salary is $48,000 with a standard deviation of $10,000. The
coefficient of determination is .281961. Find the following:
A = the slope of the line of best fit between the variables
B = the y-intercept of the line of best fit between the variables
C = Patrick goes to college for 8 semesters. Find Patrick’s predicted starting
salary.
D = Jennifer goes to college for 10 semesters and her starting salary after
college was $61,000. Find the value of Jennifer’s residual.
Tallahassee Statewide Statistics Team Question 4
Given the following chart:
Biology (B) Chemistry (C) Physics (P)
Spanish (S)
34
26
32
French (F)
16
14
18
Japanese (J)
10
12
8
Find the following:
A = P(BÈ J)
B = P(F|P)
C = P(C|S’)
D = P(S | (BÈC))
Tallahassee Statewide Statistics Team Question 4
Given the following chart:
Biology (B) Chemistry (C) Physics (P)
Spanish (S)
34
26
32
French (F)
16
14
18
Japanese (J)
10
12
8
Find the following:
A = P(BÈ J)
B = P(F|P)
C = P(C|S’)
D = P(S | (BÈC))
Tallahassee Statewide Statistics Team Question 5
Tom is practicing his corn hole game skills to get ready for tailgating before
football games. Tom is successful 12% of the time in the corn hole game. He
plays 150 games one day. Assume each game is independent.
A = the mean number of games Tom is successful with that day
B = the standard deviation for the number of games Tom is successful with that
day
C = the probability that Tom is successful in exactly 20 games that day. Round
your answer to four decimal places.
D = the probability that Tom is successful in 10 games or less that day. Round
your answer to four decimal places.
Tallahassee Statewide Statistics Team Question 5
Tom is practicing his corn hole game skills to get ready for tailgating before
football games. Tom is successful 12% of the time in the corn hole game. He
plays 150 games one day. Assume each game is independent.
A = the mean number of games Tom is successful with that day
B = the standard deviation for the number of games Tom is successful with that
day
C = the probability that Tom is successful in exactly 20 games that day. Round
your answer to four decimal places.
D = the probability that Tom is successful in 10 games or less that day. Round
your answer to four decimal places.
Tallahassee Statewide Statistics Team Question 6
There are 75 seniors in Ms. Ray’s class. 32 of them take Biology, 36 take
Chemistry and 29 take Physics. 10 seniors take Biology and Physics, 14 take
Biology and Chemistry and 12 take Chemistry and Physics. 4 seniors take all
three classes and 10 seniors take none of the three classes.
A = the number of seniors who take exactly one of the science classes.
B = the number of seniors who take exactly two of the science classes.
C = a senior from Ms. Ray’s class is randomly selected. Find the probability that
the student is in Chemistry, given that the student does not take Physics.
D = a senior from Ms. Ray’s class is randomly selected. Find the probability that
the student is in Biology, given that the student is in Physics.
Tallahassee Statewide Statistics Team Question 6
There are 75 seniors in Ms. Ray’s class. 32 of them take Biology, 36 take
Chemistry and 29 take Physics. 10 seniors take Biology and Physics, 14 take
Biology and Chemistry and 12 take Chemistry and Physics. 4 seniors take all
three classes and 10 seniors take none of the three classes.
A = the number of seniors who take exactly one of the science classes.
B = the number of seniors who take exactly two of the science classes.
C = a senior from Ms. Ray’s class is randomly selected. Find the probability that
the student is in Chemistry, given that the student does not take Physics.
D = a senior from Ms. Ray’s class is randomly selected. Find the probability that
the student is in Biology, given that the student is in Physics.
Tallahassee Statewide Statistics Team Question 7
Given the random independent variables X and Y and the following statistics:
X = 56, s X = 5, Y = 78, s Y =12 , find the following:
A = the mean of the random variable (X + Y)
B = the standard deviation of the random variable (X + Y)
C = the mean of the random variable (5x – 3Y)
D = the standard deviation of the random variable (3X – 2Y)
Tallahassee Statewide Statistics Team Question 7
Given the random independent variables X and Y and the following statistics:
X = 56, s X = 5, Y = 78, s Y =12 , find the following:
A = the mean of the random variable (X + Y)
B = the standard deviation of the random variable (X + Y)
C = the mean of the random variable (5x – 3Y)
D = the standard deviation of the random variable (3X – 2Y)
Tallahassee Statewide Statistics Team Question 8
The basketball team at Shermer High always makes the playoffs, but hasn’t won
the championship because of free throw shooting. Klay is their star player this
year averaging 24 points per game, but his free throw percentage is only 48%.
Coach Walton stays with Klay after practice and has him practice his free throws.
Assume each free throw is that Klay takes is independent.
A = the mean number of free throw attempts before Klay makes his first free
throw.
B = the probability that Klay makes his first free throw on his fourth attempt.
Round your final answer to four decimal places.
C = the probability that it takes Klay more than three attempts to make his first
free throw.
D = the standard deviation of Klay’s free throw practice.
Tallahassee Statewide Statistics Team Question 8
The basketball team at Shermer High always makes the playoffs, but hasn’t won
the championship because of free throw shooting. Klay is their star player this
year averaging 24 points per game, but his free throw percentage is only 48%.
Coach Walton stays with Klay after practice and has him practice his free throws.
Assume each free throw is that Klay takes is independent.
A = the mean number of free throw attempts before Klay makes his first free
throw.
B = the probability that Klay makes his first free throw on his fourth attempt.
Round your final answer to four decimal places.
C = the probability that it takes Klay more than three attempts to make his first
free throw.
D = the standard deviation of Klay’s free throw practice.
Tallahassee Statewide Statistics Team Question 9
Given P(X) = .63 and P(Y) = .31, find the following. Assume each part is
independent of every other part.
A = P(X ÈY ), given that X and Y are mutually exclusive.
B = P(X ÈY ), given that X and Y are independent
C = P(X ÇY ), given P(X 'ÇY ') =.12
D = P(X|Y’), given P(X ÇY ) =.21
Tallahassee Statewide Statistics Team Question 9
Given P(X) = .63 and P(Y) = .31, find the following. Assume each part is
independent of every other part.
A = P(X ÈY ), given that X and Y are mutually exclusive.
B = P(X ÈY ), given that X and Y are independent
C = P(X ÇY ), given P(X 'ÇY ') =.12
D = P(X|Y’), given P(X ÇY ) =.21
Tallahassee Statewide Statistics Team Question 10
Dr. Chang gives a Biology test. The results of the test are a mean of 67 and a
standard deviation of 11. Dr. Chang curves the test to a mean of 75 and a
standard deviation of 6. Find the following:
A = the slope of the linear transformation equation
B = the y-intercept of the linear transformation equation
C = Chandler got an 75 on the test. Find Chandler’s curved result.
D = Jared got an 80 after the curve. Find Jared’s original result.
Tallahassee Statewide Statistics Team Question 10
Dr. Chang gives a Biology test. The results of the test are a mean of 67 and a
standard deviation of 11. Dr. Chang curves the test to a mean of 75 and a
standard deviation of 6. Find the following:
A = the slope of the linear transformation equation
B = the y-intercept of the linear transformation equation
C = Chandler got an 75 on the test. Find Chandler’s curved result.
D = Jared got an 80 after the curve. Find Jared’s original result.
Tallahassee Statewide Statistics Team Question 11
Ms. Sanders gives an Latin exam. The results of the exam form a normal
distribution. Rachel scores an 52 on the test. 33% of the class scored less than
Rachel. Zack scores an 87 on the test. 6.3% of the class scored higher than
Zack. Round the z-scores needed to two decimal places.
A = the mean of the distribution
B = the standard deviation of the distribution
C = Keith scored an 80 on the test. Find Keith’s percentile to the nearest
percent. Write your final percentile as an integer.
D = Haley scored an 62 on the test. Find Haley’s percentile to the nearest
percent. Write your final percentile as an integer.
Tallahassee Statewide Statistics Team Question 11
Ms. Sanders gives an Latin exam. The results of the exam form a normal
distribution. Rachel scores an 52 on the test. 33% of the class scored less than
Rachel. Zack scores an 87 on the test. 6.3% of the class scored higher than
Zack. Round the z-scores needed to two decimal places.
A = the mean of the distribution
B = the standard deviation of the distribution
C = Keith scored an 80 on the test. Find Keith’s percentile to the nearest
percent. Write your final percentile as an integer.
D = Haley scored an 62 on the test. Find Haley’s percentile to the nearest
percent. Write your final percentile as an integer.
Tallahassee Statewide Statistics Team Question 12
The following are the AP Statistics scores at Smith High:
AP Score (X)
P(X)
1
2
3
4
5
.15
.18
.24
A
B
The mean AP Statistics score at Smith High is 3.07.
A = the value of A
B = the value of B
C = the standard deviation of the AP Statistics scores at Smith High. Round your
final answer to two decimal places.
D = the probability that a randomly selected student passed the AP Statistics
exam by earning a score of 3 or higher.
Tallahassee Statewide Statistics Team Question 12
The following are the AP Statistics scores at Smith High:
AP Score (X)
P(X)
1
2
3
4
5
.15
.18
.24
A
B
The mean AP Statistics score at Smith High is 3.07.
A = the value of A
B = the value of B
C = the standard deviation of the AP Statistics scores at Smith High. Round your
final answer to two decimal places.
D = the probability that a randomly selected student passed the AP Statistics
exam by earning a score of 3 or higher.
Tallahassee Statewide Statistics Team Question 13
Let the set X = {positive integral factors of 600}
A = the mean of the set X
B = the median of the set X
C = the interquartile range of the set X
D = the range of the set X
Tallahassee Statewide Statistics Team Question 13
Let the set X = {positive integral factors of 600}
A = the mean of the set X
B = the median of the set X
C = the interquartile range of the set X
D = the range of the set X
Tallahassee Statewide Statistics Team Question 14
Given a standard deck of cards (no jokers), a card is randomly selected. Find
the following probabilities:
A = P(red card)
B = P(face card)
C = P(prime number)
D = P(black diamond)
Tallahassee Statewide Statistics Team Question 14
Given a standard deck of cards (no jokers), a card is randomly selected. Find
the following probabilities:
A = P(red card)
B = P(face card)
C = P(prime number)
D = P(black diamond)