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The sum of 101 consecutive even integers is 20,200.

Quantity A

The average (arithmetic mean) of the 101 integers

Quantity B

The median of the 101 integers


In the distribution of measurements of the variable x, the mean is 56 and the measurement r lies between the 65th and 70th percentiles. In the distribution of measurements of the variable y, the mean is 56 and the measurement t lies between the 75th and 80th percentiles.

Quantity A

r

Quantity B

t


Larry and Tony work for different companies. Larry's salary is the $$90^{th}$$ percentile of the salaries in his company, and Tony's salary is the $$70^{th}$$ percentile of the salaries in his company.

Which of the following statements individually provide(s) sufficient additional information to conclude that Larry's salary is higher than Tony's salary?

Indicate all such statements.


The table shows the means and ranges of two data sets, X and Y, each containing the same number of measurements.

Quantity A

The standard deviation of data set X

Quantity B

The standard deviation of data set Y


Quantity A

The standard deviation of the numbers 45, 64, 83, and 53

Quantity B

The standard deviation of the numbers 55, 81, 47, and 62


For a certain normal distribution, the value 15.6 is 2 standard deviations below the mean of the distribution and the value 26.1 is 3 standard deviations above the mean of the distribution. What is the mean of the distribution?


The random variable X has the standard normal distribution with a mean of 0 and a standard deviation of 1, as shown. Probabilities, rounded to the nearest 0.01, are indicated for the six intervals shown. The random variable Y has a normal distribution with a mean of 2 and a standard deviation of 1. Using the probabilities shown, approximately how much greater is the probability that the value of Y is between 1 and 2 than the probability that the value of X is between 1 and 2?
For a certain normal distribution, its mean and standard deviation are 50 and 5.4, respectively.

Quantity A

The number of data in (45, 48.6)

Quantity B

The number of data in (55.4, 59)


Data set A and B are both normally distributed. In data set A, the mean is 60, standard deviation is 9, and 72 is $$q$$th percentile. In data set B, the mean is 70, standard deviation is 6, and 78 is $$w$$th percentile.

Quantity A

q

Quantity B

w




The figure above shows a normal distribution with mean m and standard deviation d, including approximate percents of the distribution corresponding to the six regions shown.

The lengths of phone calls made on a certain weekend by students at High School H are approximately normally distributed with a mean of 30 minutes and a standard deviation of 10 minutes. Which of the following statements must be true?

Indicate all such statements.
A normal distribution with mean 50, $$16^{th}$$ percentile: 42,$$33^{th}$$ percentile: q.

Quantity A

q-42

Quantity B

50-q


Let W be a continuous random variable such that P (W > $$\frac{1}{2}$$)=$$\frac{9}{10}$$ and P (W > $$\frac{3}{4}$$)=$$\frac{7}{20}$$. What is the value of P ($$\frac{1}{2}$$ < W ≤ $$\frac{3}{4}$$)?

Give your answer as a fraction.
The probability distribution function $$f$$ of a continuous random variable $$x$$ is defined by $$f(x) = \frac{2}{13}|x|$$ for $$−3 \leq x \leq 2$$

Quantity A

The median of the distribution of $$x$$

Quantity B

-$$\frac{9}{5}$$


Let S and T be two sets such that the ratio of the number of elements in S to the number of elements in T to the number of elements in the set S∩T is 4 to 3 to 1. If the sum of the number of elements in S but not in T and the number of elements in T but not in S is 2520, what is the number of elements in S∩T?
Among 25 parents, 14 have at least 1 boy, 15 have at least 1 girl

Quantity A

The number of parents who have at least 1 boy but no girl

Quantity B

10


In an election, voters can vote for as many candidates as they wish. The percent of votes each candidate wins is listed as follows.



Quantity A

The percentage of votes candidate A or candidate B or both of them win

Quantity B

80%


In a sequence, each term is equal the preceding term plus a constant x, a5 = 11, a8 = 19, what is the value of x?

Give your answer as a fraction.
In a sequence of numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4 ......., n occurs n times for 1 ≤ n ≤ 25. For the first 300 numbers in the sequence, what is the least n that is greater than at least 25% of the first 300 numbers in the sequence?
$$a_k$$ = ($$\frac{1}{k} - \frac{1}{k+1}$$) for any positive integer k.

Quantity A

$$a_3$$+$$a_4$$+$$a_5$$+$$a_6$$+$$a_7$$

Quantity B

$$\frac{1}{8}$$


$$a_1$$=4, $$a_2$$=-3, $$a_3$$=7. If for any integer n greater than 3, $$a_n$$=$$|a_{n-1}-a_{n-2}|$$, then what`s the sum of all the terms from $$a_1$$ to $$a_{35}$$?

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