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Mr. Thomas gave a chemistry test to 25 students and assigned each student a score. Of the 25 students, 12 students received scores that were greater than 80.

Which of the following statements individually provide(s) sufficient additional information to determine the median of the 25 scores?

Indicate all such statements.
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


$$(-0.5)^{-2}$$, $$(-0.5)^{-1}$$, $$(-0.5)^{0}$$, $$(-0.5)^{1}$$, $$(-0.5)^{2}$$,

What is the range of the 5 numbers listed?
Five different families received tax bills at the beginning of the year. Later, the four lowest tax bills were each reduced by $200 while the highest tax bill remained the same.

Quantity A

The standard deviation of the original five tax bills

Quantity B

The standard deviation of the resulting five tax bills after the four lowest tax bills were reduced






Let x be a positive number. The random variable R is normally distributed with mean x and standard deviation 0.25x. The random variable T is normally distributed with mean 0.5x and standard deviation 0.5x.

Quantity A

P (R <1.375x)

Quantity B

P (T <1.25x)


How many integers between 100 and 1,000 have a hundreds digit that is even, a tens digit that is odd, and a non-zero units digit that is divisible by 3?
The 9 computers in an office are to be interconnected by cables so that each computer is connected directly to each of the other computers. If each cable that connects a pair of the computers counts as one cable, how many cables are needed?
Because they were traditionally ______________, Jain monks in sixteenth-century India particularly valued special dispensations from the royal court granting them freedom of movement.
The theater presented directors and designers with a remarkably (i)________ space, since the placement of the stage and of the audience could be (ii)_________ the needs of the production. And though audiences were sometimes unsettled when they found themselves thrust into the midst of the action, on balance they saw this as adding to the (iii)__________ of the performance.
The sound of disembodied human breathing in Miyazaki`s films is at once a presence, close to the listener`s ear, and a ghostly absence due to its lack of a visual __________.
Beauford Delaney`s dynamic depictions of Harlem and Greenwich Village, dating from 1929 to 1953, _______________ the energy of the city, while the equally captivating abstract compositions from his Paris years of 1953 to 1979 demonstrate his sustained exploration of color.
Extreme political positions actually tend to be more (i)____________ than the platforms of large political parties, since the alliance of diverse interests that constitutes a big party is often (ii)____________ except that it makes for a powerful coalition capable collectively of exerting a government influence.
While the rate at which absolute global sea level is rising may seem ___________, it has been far from an incidental factor in human history.
Given the important role that apologies can play in human relations and the almost daily news reports of the latest celebrity or political apology, the ____________ of empirical research on the subject is surprising.
Some consider the theorem Emmy Noether first published in 1918 to be as important as Einstein's theory of relativity, since much of today's vanguard research in physics is _____________ Noether's theorem.
While Pompeian houses vary in their size, ground plan, and decorative schemes, they do tend to _____________ certain consistent design motivations: their owners all seem to have aimed toward creating a certain kind of domestic space.
Although economics emerged as a discipline in Great Britain and France at the end of the eighteenth century, it has taken two centuries to become (i)____________ field of study: among early economists, intuition and opinion (ii)____________ facts and figures in economic thought, but the teaching of economics today is dominated by complex algorithms and mathematical models.
While Hassler`s trademark (i)____________ is sometimes useful in (ii)____________ an institution entrenched in complacency into changing its ways, such brusqueness is more often counterproductive, tending to (iii)____________ people.
Among some demographic groups, the Internet is _____________: almost everybody who wants Internet access has it.
The television network seems to regard its longest-running comedy show as _____________, keeping it in the schedule even as the humor it churns out is notoriously hit-or-miss.

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