Question
The Metropolitan Museum of Art has plates on display from the Roman Empire and ancient Greece. The box plots shown summarize the distributions of the diameters, in centimeters, of all the museum's plates from each region. How does the median diameter of the plates from the Roman Empire, r, compare to the median diameter of the plates from ancient Greece, g ?
- There is not enough information to compare the medians.
The correct answer is:
HINT: Observe the given figures and hence we get which median value is greater.
Complete step by step Solution
The median value lies between 10 and 15 in the interquartile range of Roman Empire(r).
Where as the median value lies between 15 and 30 in the case of Ancient Greek(g).
Hence we can conclude that the median value of 
is greater than 
.
That is, 
or
Hence option A is the correct answer.
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Two beach balls are each in the shape of a sphere. The larger beach ball has a diameter of 3x, and the smaller beach ball has a diameter of x. What is the ratio of the volume of the larger beach ball to volume of the smaller beach ball?
volume of a sphere
A sphere is a collection of points in space separated by r from the center. The quantity of space a solid in three dimensions takes up is known as its volume. The unit of volume is measured in cubic (in3, ft3, cm3, m3, et cetera). Before calculating the volume, ensure all measurements are in the same unit.
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The volume V of a sphere is equal to four-thirds of pi times the cube of the radius.
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Two beach balls are each in the shape of a sphere. The larger beach ball has a diameter of 3x, and the smaller beach ball has a diameter of x. What is the ratio of the volume of the larger beach ball to volume of the smaller beach ball?
volume of a sphere
A sphere is a collection of points in space separated by r from the center. The quantity of space a solid in three dimensions takes up is known as its volume. The unit of volume is measured in cubic (in3, ft3, cm3, m3, et cetera). Before calculating the volume, ensure all measurements are in the same unit.
Follow the steps below to determine the volume of a given sphere:
Step 1: Compare the radius of the given sphere. If you know the diameter of the sphere, divide it by two to get the radius.
Step 2: Find the radius of r'³s cube.
Step 3: Now divide it by (4/3) π
Step 4: The volume of the sphere will be the final answer.
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V = 4/3πr³
A hemisphere's volume is equal to one-half that of its related sphere.
?
, which of the following is equivalent to 
?
is shown. The graph passes through the points 
where a and b are constants. What is the value of b ?
