Mode - GMAT Quantitative

The mode is the number that appears most frequently:

The mode of a set of data is the entry that appears most often within the set. One easy way to determine the mode is by arranging the set in increasing order:

Now that the set is arranged in increasing order, we can see how often each value appears in the set. The value 7 appears three times, which is more than any other entry is repeated, so this is the mode of the set.

The mode of a set of data is the entry that occurs most often within the set. An easy way to determine which entry occurs the most often is by arranging the set in increasing order:

Now we can see that 29 is repeated more often than any other number in the set, so this is the mode.

The mode of a set of data is the entry that appears most frequently within the set. An easy way to determine the mode is by arranging the set in increasing order:

Now we can see that the value of is repeated more times than any other value, so this is the mode of the set of data.

The mode is the most frequent number, thus our answer is .

The mode is the most frequent number, thus the answer is .

The mode is the most frequent number. Thus, our answer is .

Of the known elements, 6 occurs the most frequently - three times. Since the unknown occurs only twice, and it cannot be equal to any of the other elements, its value does not affect the status of 6 as the most frequent element. Therefore, regardless of , 6 is the only mode.

Assume both statements to be true, and examine two cases.

Case 1:

The arithmetic mean of and is

The conditions of both statements are satisfied.

The mean of the five numbers is their sum divided by 5:

Case 2:

The arithmetic mean of and is

The conditions of both statements are satisfied.

But the mean of the five numbers is

Therefore, the mean may or may not be equal to .

If the known values are ordered from least to greatest, the set looks like this:

Below are each of the choices, followed by the set that results if it is added to the above set, followed by the median - the middle element - and the mode - the most frequently occurring element.

Only the addition of 11 yields a set with median and mode equal to each other.

The mode of a set, if it exists, is the value that occurs most frequently. The inequality

means that the set

can be rewritten as

.

The most frequently occurring value is , making this the mode.

The mode of a set, if it exists, is the value that occurs most frequently. The inequality

means that the set

can be rewritten as

and occur as values twice each; the other values, and , are unique. Therefore, the set has two modes, and .

The mode of a set is the value that occurs most frequently in that set. Since

, it follows that

can be rewritten as

.

This makes and both modes, since both occur twice. Equivalently, since and , and are modes.

The mode is the number that comes up most frequently in a set. Rita goes to the gym 4 times a week for 511 weeks. She clearly goes 4 times per week far more often than she goes 1, 2, or 3 times per week. Therefore the mode is 4 days/week. It is NOT 511 weeks. That is the frequency with which 4 days/week occurs, but not the mode.

The mode is the number that appears most frequently:

The mode of a set of data is the entry that appears most often within the set. One easy way to determine the mode is by arranging the set in increasing order:

Now that the set is arranged in increasing order, we can see how often each value appears in the set. The value 7 appears three times, which is more than any other entry is repeated, so this is the mode of the set.

The mode of a set of data is the entry that occurs most often within the set. An easy way to determine which entry occurs the most often is by arranging the set in increasing order:

Now we can see that 29 is repeated more often than any other number in the set, so this is the mode.

The mode of a set of data is the entry that appears most frequently within the set. An easy way to determine the mode is by arranging the set in increasing order:

Now we can see that the value of is repeated more times than any other value, so this is the mode of the set of data.

The mode is the most frequent number, thus our answer is .