Calculations - GED Math
Card 0 of 1030
Given the data set 
, which of the following quantities are equal to each other/one another?
I: The mean
II: The median
III: The mode
Given the data set
I: The mean
II: The median
III: The mode
The median of a data set with an odd number of elements is the middle value when the set is arranged in ascending order; the middle value of this nine-element set is the fifth value, 5.
The mode of a data set is the most frequently occurring element. Here, only 5 appears multiple times, so it is the mode.
The mean of a data set is the sum of its elements divided by the number of elements, which here is 9:
The mean and the mode are equal, but the mean is different. The correct answer is "II and III only".
The median of a data set with an odd number of elements is the middle value when the set is arranged in ascending order; the middle value of this nine-element set is the fifth value, 5.
The mode of a data set is the most frequently occurring element. Here, only 5 appears multiple times, so it is the mode.
The mean of a data set is the sum of its elements divided by the number of elements, which here is 9:
The mean and the mode are equal, but the mean is different. The correct answer is "II and III only".
Compare your answer with the correct one above
How many modes does this data set:
How many modes does this data set:
The mode of a data set is the element that occurs most frequently. If there is a tie between the frequencies of two (three, etc.) elements, the set has two (three, etc.) modes.
Here, though, only one element (8) appears four times, with no other element appearing more frequently. 8 is the only mode.
The mode of a data set is the element that occurs most frequently. If there is a tie between the frequencies of two (three, etc.) elements, the set has two (three, etc.) modes.
Here, though, only one element (8) appears four times, with no other element appearing more frequently. 8 is the only mode.
Compare your answer with the correct one above
Given the data set 
, let 
be the mean of the set, 
be the median of the set, and 
be the mode of the set. Which of the following is true?
Given the data set
The mean of a data set is the sum of its elements divided by the number of elements, which here is 10:
The median of a data set with an even number of elements is the mean of the middle two values when the set is arranged in ascending order; the middle numbers are 5 and 10, so the median is
The mode of a data set is the most frequently occurring element, which here is 5, so
.
The correct response is 
The mean of a data set is the sum of its elements divided by the number of elements, which here is 10:
The median of a data set with an even number of elements is the mean of the middle two values when the set is arranged in ascending order; the middle numbers are 5 and 10, so the median is
The mode of a data set is the most frequently occurring element, which here is 5, so
The correct response is
Compare your answer with the correct one above
Given the data set 
, which of the following quantities are equal to each other/one another?
I: The mean
II: The median
III: The mode
Given the data set
I: The mean
II: The median
III: The mode
Since this data set is arranged in ascending order and has an even number of elements, the median of the data set is the arithmetic mean of its middle two elements. Both elements are 6, so this is the median.
6 is the mode, since it occurs most frequently.
The mean is the sum of the elements divided by the number of elements, which is 8:
The median and the mode are equal to each other, but not to the mean, so the correct answer is "II and III only".
Since this data set is arranged in ascending order and has an even number of elements, the median of the data set is the arithmetic mean of its middle two elements. Both elements are 6, so this is the median.
6 is the mode, since it occurs most frequently.
The mean is the sum of the elements divided by the number of elements, which is 8:
The median and the mode are equal to each other, but not to the mean, so the correct answer is "II and III only".
Compare your answer with the correct one above
Given the data set , which of the following quantities are equal to each other/one another?
I: The mean
II: The median
III: The mode
Given the data set
I: The mean
II: The median
III: The mode
The median of a data set with an odd number of elements is the middle value when the set is arranged in ascending order; the middle value of this nine-element set is the fifth value, 5.
The mode of a data set is the most frequently occurring element. Here, only 5 appears multiple times, so it is the mode.
The mean of a data set is the sum of its elements divided by the number of elements, which here is 9:
The mean and the mode are equal, but the mean is different. The correct answer is "II and III only".
The median of a data set with an odd number of elements is the middle value when the set is arranged in ascending order; the middle value of this nine-element set is the fifth value, 5.
The mode of a data set is the most frequently occurring element. Here, only 5 appears multiple times, so it is the mode.
The mean of a data set is the sum of its elements divided by the number of elements, which here is 9:
The mean and the mode are equal, but the mean is different. The correct answer is "II and III only".
Compare your answer with the correct one above
How many modes does this data set:
How many modes does this data set:
The mode of a data set is the element that occurs most frequently. If there is a tie between the frequencies of two (three, etc.) elements, the set has two (three, etc.) modes.
Here, though, only one element (8) appears four times, with no other element appearing more frequently. 8 is the only mode.
The mode of a data set is the element that occurs most frequently. If there is a tie between the frequencies of two (three, etc.) elements, the set has two (three, etc.) modes.
Here, though, only one element (8) appears four times, with no other element appearing more frequently. 8 is the only mode.
Compare your answer with the correct one above
Given the data set , let be the mean of the set, be the median of the set, and be the mode of the set. Which of the following is true?
Given the data set
The mean of a data set is the sum of its elements divided by the number of elements, which here is 10:
The median of a data set with an even number of elements is the mean of the middle two values when the set is arranged in ascending order; the middle numbers are 5 and 10, so the median is
The mode of a data set is the most frequently occurring element, which here is 5, so
.
The correct response is
The mean of a data set is the sum of its elements divided by the number of elements, which here is 10:
The median of a data set with an even number of elements is the mean of the middle two values when the set is arranged in ascending order; the middle numbers are 5 and 10, so the median is
The mode of a data set is the most frequently occurring element, which here is 5, so
The correct response is
Compare your answer with the correct one above
Given the data set , which of the following quantities are equal to each other/one another?
I: The mean
II: The median
III: The mode
Given the data set
I: The mean
II: The median
III: The mode
The median of a data set with an odd number of elements is the middle value when the set is arranged in ascending order; the middle value of this nine-element set is the fifth value, 5.
The mode of a data set is the most frequently occurring element. Here, only 5 appears multiple times, so it is the mode.
The mean of a data set is the sum of its elements divided by the number of elements, which here is 9:
The mean and the mode are equal, but the mean is different. The correct answer is "II and III only".
The median of a data set with an odd number of elements is the middle value when the set is arranged in ascending order; the middle value of this nine-element set is the fifth value, 5.
The mode of a data set is the most frequently occurring element. Here, only 5 appears multiple times, so it is the mode.
The mean of a data set is the sum of its elements divided by the number of elements, which here is 9:
The mean and the mode are equal, but the mean is different. The correct answer is "II and III only".
Compare your answer with the correct one above
Which of the following elements can be added to the data set
to give it exactly one mode?
I: 
II: 
III: 
Which of the following elements can be added to the data set
to give it exactly one mode?
I:
II:
III:
The mode of the data set is the most frequently occurring element. In the set given, 4 occurs three times, 5 occurs three times, 6 occurs two times, and 3 and 7 occur one time each.
If 4 is added to the data set, then it occurs four times, more than any other element, so it becomes the unique mode; a similar argument holds for 5. If 6 is added to the set, then each of 4, 5, and 6 occur three times, and the set becomes one with three modes.
The correct answer is therefore I and II only.
The mode of the data set is the most frequently occurring element. In the set given, 4 occurs three times, 5 occurs three times, 6 occurs two times, and 3 and 7 occur one time each.
If 4 is added to the data set, then it occurs four times, more than any other element, so it becomes the unique mode; a similar argument holds for 5. If 6 is added to the set, then each of 4, 5, and 6 occur three times, and the set becomes one with three modes.
The correct answer is therefore I and II only.
Compare your answer with the correct one above
Given the data set , let be the mean of the set, be the median of the set, and be the mode of the set. Which of the following is true?
Given the data set
The mean of a data set is the sum of its elements divided by the number of elements, which here is 10:
The median of a data set with an even number of elements is the mean of the middle two values when the set is arranged in ascending order; the middle numbers are 5 and 10, so the median is
The mode of a data set is the most frequently occurring element, which here is 5, so
.
The correct response is
The mean of a data set is the sum of its elements divided by the number of elements, which here is 10:
The median of a data set with an even number of elements is the mean of the middle two values when the set is arranged in ascending order; the middle numbers are 5 and 10, so the median is
The mode of a data set is the most frequently occurring element, which here is 5, so
The correct response is
Compare your answer with the correct one above
Given the data set 
, which of the following quantities are equal to each other/one another?
I: The mean
II: The median
III: The mode
Given the data set
I: The mean
II: The median
III: The mode
The mean of a data set is the sum of its elements divided by the number of elements, which here is 8:
The median of a data set with an even number of elements is the mean of the middle two values when the set is arranged in ascending order; both of the middle elements are 8, so the median is 8.
The mode of a data set is the most frequently occurring element. Here, only 8 appears twice, so it is the mode.
All three are equal.
The mean of a data set is the sum of its elements divided by the number of elements, which here is 8:
The median of a data set with an even number of elements is the mean of the middle two values when the set is arranged in ascending order; both of the middle elements are 8, so the median is 8.
The mode of a data set is the most frequently occurring element. Here, only 8 appears twice, so it is the mode.
All three are equal.
Compare your answer with the correct one above
Given the data set , which of the following quantities are equal to each other/one another?
I: The mean
II: The median
III: The mode
Given the data set
I: The mean
II: The median
III: The mode
The median of a data set with an odd number of elements is the middle value when the set is arranged in ascending order; the middle value of this nine-element set is the fifth value, 5.
The mode of a data set is the most frequently occurring element. Here, only 5 appears multiple times, so it is the mode.
The mean of a data set is the sum of its elements divided by the number of elements, which here is 9:
The mean and the mode are equal, but the mean is different. The correct answer is "II and III only".
The median of a data set with an odd number of elements is the middle value when the set is arranged in ascending order; the middle value of this nine-element set is the fifth value, 5.
The mode of a data set is the most frequently occurring element. Here, only 5 appears multiple times, so it is the mode.
The mean of a data set is the sum of its elements divided by the number of elements, which here is 9:
The mean and the mode are equal, but the mean is different. The correct answer is "II and III only".
Compare your answer with the correct one above
How many modes does this data set:
How many modes does this data set:
The mode of a data set is the element that occurs most frequently. If there is a tie between the frequencies of two (three, etc.) elements, the set has two (three, etc.) modes.
Here, though, only one element (8) appears four times, with no other element appearing more frequently. 8 is the only mode.
The mode of a data set is the element that occurs most frequently. If there is a tie between the frequencies of two (three, etc.) elements, the set has two (three, etc.) modes.
Here, though, only one element (8) appears four times, with no other element appearing more frequently. 8 is the only mode.
Compare your answer with the correct one above
Given the data set , which of the following quantities are equal to each other/one another?
I: The mean
II: The median
III: The mode
Given the data set
I: The mean
II: The median
III: The mode
Since this data set is arranged in ascending order and has an even number of elements, the median of the data set is the arithmetic mean of its middle two elements. Both elements are 6, so this is the median.
6 is the mode, since it occurs most frequently.
The mean is the sum of the elements divided by the number of elements, which is 8:
The median and the mode are equal to each other, but not to the mean, so the correct answer is "II and III only".
Since this data set is arranged in ascending order and has an even number of elements, the median of the data set is the arithmetic mean of its middle two elements. Both elements are 6, so this is the median.
6 is the mode, since it occurs most frequently.
The mean is the sum of the elements divided by the number of elements, which is 8:
The median and the mode are equal to each other, but not to the mean, so the correct answer is "II and III only".
Compare your answer with the correct one above
Given the data set , which of the following quantities are equal to each other/one another?
I: The mean
II: The median
III: The mode
Given the data set
I: The mean
II: The median
III: The mode
The mean of a data set is the sum of its elements divided by the number of elements, which here is 8:
The median of a data set with an even number of elements is the mean of the middle two values when the set is arranged in ascending order; both of the middle elements are 8, so the median is 8.
The mode of a data set is the most frequently occurring element. Here, only 8 appears twice, so it is the mode.
All three are equal.
The mean of a data set is the sum of its elements divided by the number of elements, which here is 8:
The median of a data set with an even number of elements is the mean of the middle two values when the set is arranged in ascending order; both of the middle elements are 8, so the median is 8.
The mode of a data set is the most frequently occurring element. Here, only 8 appears twice, so it is the mode.
All three are equal.
Compare your answer with the correct one above
Given the data set , which of the following quantities are equal to each other/one another?
I: The mean
II: The median
III: The mode
Given the data set
I: The mean
II: The median
III: The mode
The median of a data set with an odd number of elements is the middle value when the set is arranged in ascending order; the middle value of this nine-element set is the fifth value, 5.
The mode of a data set is the most frequently occurring element. Here, only 5 appears multiple times, so it is the mode.
The mean of a data set is the sum of its elements divided by the number of elements, which here is 9:
The mean and the mode are equal, but the mean is different. The correct answer is "II and III only".
The median of a data set with an odd number of elements is the middle value when the set is arranged in ascending order; the middle value of this nine-element set is the fifth value, 5.
The mode of a data set is the most frequently occurring element. Here, only 5 appears multiple times, so it is the mode.
The mean of a data set is the sum of its elements divided by the number of elements, which here is 9:
The mean and the mode are equal, but the mean is different. The correct answer is "II and III only".
Compare your answer with the correct one above
How many modes does this data set:
How many modes does this data set:
The mode of a data set is the element that occurs most frequently. If there is a tie between the frequencies of two (three, etc.) elements, the set has two (three, etc.) modes.
Here, though, only one element (8) appears four times, with no other element appearing more frequently. 8 is the only mode.
The mode of a data set is the element that occurs most frequently. If there is a tie between the frequencies of two (three, etc.) elements, the set has two (three, etc.) modes.
Here, though, only one element (8) appears four times, with no other element appearing more frequently. 8 is the only mode.
Compare your answer with the correct one above
Which of the following elements can be added to the data set
so that its mode(s) remain unchanged?
I: 
II: 
III: 
Which of the following elements can be added to the data set
so that its mode(s) remain unchanged?
I:
II:
III:
The mode of the data set is the most frequently occurring element. In the set given, 4 occurs three times, 5 occurs three times, 6 occurs two times, and 3 and 7 occur one time each. Therefore, the set has two modes, 4 and 5, and we want to preserve this condition.
If 3 is added to this set, it becomes
and 4 and 5 are still tied for the most frequently occurring element. The same happens if 7 is added to yield
.
If 5 is added to this set, it becomes
and 5 appears more frequently than 4 or any other element. This changes the data set to one with only one mode, 5.
The correct response is therefore "I and III only".
The mode of the data set is the most frequently occurring element. In the set given, 4 occurs three times, 5 occurs three times, 6 occurs two times, and 3 and 7 occur one time each. Therefore, the set has two modes, 4 and 5, and we want to preserve this condition.
If 3 is added to this set, it becomes
and 4 and 5 are still tied for the most frequently occurring element. The same happens if 7 is added to yield
If 5 is added to this set, it becomes
and 5 appears more frequently than 4 or any other element. This changes the data set to one with only one mode, 5.
The correct response is therefore "I and III only".
Compare your answer with the correct one above
Given the data set , which of the following quantities are equal to each other/one another?
I: The mean
II: The median
III: The mode
Given the data set
I: The mean
II: The median
III: The mode
Since this data set is arranged in ascending order and has an even number of elements, the median of the data set is the arithmetic mean of its middle two elements. Both elements are 6, so this is the median.
6 is the mode, since it occurs most frequently.
The mean is the sum of the elements divided by the number of elements, which is 8:
The median and the mode are equal to each other, but not to the mean, so the correct answer is "II and III only".
Since this data set is arranged in ascending order and has an even number of elements, the median of the data set is the arithmetic mean of its middle two elements. Both elements are 6, so this is the median.
6 is the mode, since it occurs most frequently.
The mean is the sum of the elements divided by the number of elements, which is 8:
The median and the mode are equal to each other, but not to the mean, so the correct answer is "II and III only".
Compare your answer with the correct one above
Which of the following elements can be added to the data set
to give it exactly one mode?
I:
II:
III:
Which of the following elements can be added to the data set
to give it exactly one mode?
I:
II:
III:
The mode of the data set is the most frequently occurring element. In the set given, 4 occurs three times, 5 occurs three times, 6 occurs two times, and 3 and 7 occur one time each.
If 4 is added to the data set, then it occurs four times, more than any other element, so it becomes the unique mode; a similar argument holds for 5. If 6 is added to the set, then each of 4, 5, and 6 occur three times, and the set becomes one with three modes.
The correct answer is therefore I and II only.
The mode of the data set is the most frequently occurring element. In the set given, 4 occurs three times, 5 occurs three times, 6 occurs two times, and 3 and 7 occur one time each.
If 4 is added to the data set, then it occurs four times, more than any other element, so it becomes the unique mode; a similar argument holds for 5. If 6 is added to the set, then each of 4, 5, and 6 occur three times, and the set becomes one with three modes.
The correct answer is therefore I and II only.
Compare your answer with the correct one above