Calculating mode - GMAT Quantitative Reasoning
Card 0 of 14
Rita keeps track of the number of times she goes to the gym each week for 1260 weeks. She goes 1 day a week for 119 weeks, 2 days a week for 254 weeks, 3 days a week for 376 weeks, and 4 days a week for 511 weeks. What is the mode of the number of days she goes to the gym each week?
Rita keeps track of the number of times she goes to the gym each week for 1260 weeks. She goes 1 day a week for 119 weeks, 2 days a week for 254 weeks, 3 days a week for 376 weeks, and 4 days a week for 511 weeks. What is the mode of the number of days she goes to the gym each week?
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 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.
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For which of the following values of 
would the median and the mode of the data set be equal?
For which of the following values of
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.
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.
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Consider the data set 
. It is known that 
. How many modes does this data set have, and what are they?
Consider the data set
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.
Of the known elements, 6 occurs the most frequently - three times. Since the unknown
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What is the mode for the following set:
What is the mode for the following set:
The mode is the number that appears most frequently: 
The mode is the number that appears most frequently:
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Determine the mode of the following set of data:
Determine the mode of the following set of data:
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 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.
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Determine the mode of the following set of data:
Determine the mode of the following set of data:
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 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.
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Determine the mode of the following set of data:
Determine the mode of the following set of data:
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 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
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Determine the mode for the following set of numbers.
Determine the mode for the following set of numbers.
The mode is the most frequent number, thus our answer is 
.
The mode is the most frequent number, thus our answer is
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Find the mode of the following set of numbers:
Find the mode of the following set of numbers:
The mode is the most frequent number, thus the answer is 
.
The mode is the most frequent number, thus the answer is
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Find the mode of the following set of numbers.
Find the mode of the following set of numbers.
The mode is the most frequent number. Thus, our answer is 
.
The mode is the most frequent number. Thus, our answer is
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Give the mode of the set 
.
Give the mode of the set
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
The most frequently occurring value is
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.
Give the mode of the set 
.
Give the mode of the set
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, if it exists, is the value that occurs most frequently. The inequality
means that the set
can be rewritten as
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True or false: 
is the arithmetic mean of the set 
.
Statement 1: 
Statement 2: 
is the arithmetic mean of 
and 
.
True or false:
Statement 1:
Statement 2:
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 
.
Assume both statements to be true, and examine two cases.
Case 1:
The arithmetic mean of
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
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
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Which of these values is not a mode of the set 
?
Which of these values is not a mode of the set
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 of a set is the value that occurs most frequently in that set. Since
can be rewritten as
This makes
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