Understanding Quartiles and Percentiles - Math
Card 1 of 12
What is the probability of getting a sum of 
when rolling two six-sided fair dice?
What is the probability of getting a sum of
Tap to reveal answer
The sample space, or total possible outcomes, when rolling two six-sided dice is 
.
Ways to get what you want:
So there are 
ways to get a 
.
So the probability becomes 
The sample space, or total possible outcomes, when rolling two six-sided dice is
Ways to get what you want:
So there are
So the probability becomes
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The 70th and 80th percentiles of a set of scores are 78 and 86, respectively; the interquartile range of the scores is 41. Which of these scores is more likely than the others to be at the 25th percentile?
The 70th and 80th percentiles of a set of scores are 78 and 86, respectively; the interquartile range of the scores is 41. Which of these scores is more likely than the others to be at the 25th percentile?
Tap to reveal answer
The interquartile range of a set of scores is the difference between the third and first quartile - that is, the difference between the 75th and 25th percentiles. The 75th percentile is between 78 and 86, so, if 41 is subtracted from those numbers, the upper and lower bounds of the 25th percentile can be found.
Of our choices, only 40 falls in this range.
The interquartile range of a set of scores is the difference between the third and first quartile - that is, the difference between the 75th and 25th percentiles. The 75th percentile is between 78 and 86, so, if 41 is subtracted from those numbers, the upper and lower bounds of the 25th percentile can be found.
Of our choices, only 40 falls in this range.
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is the median of the overall data set. 
is the median of the lower half of the data set. 
is the median of the upper half of the data set.
Find the interquartile range 
for the following data set:
Find the interquartile range
Tap to reveal answer
First, put the data set in order from smallest to largest:
which is the middle number in the data set.
which is the average of the two middle numbers of the lower half of the data set.
which is the average of the two middle numbers of the upper half of the data set.
Thus the interquartile range is 
Note, the range of the data set is given by the largest number minus the smallest number, or 
First, put the data set in order from smallest to largest:
Thus the interquartile range is
Note, the range of the data set is given by the largest number minus the smallest number, or
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What is the probability of getting a sum of when rolling two six-sided fair dice?
What is the probability of getting a sum of
Tap to reveal answer
The sample space, or total possible outcomes, when rolling two six-sided dice is .
Ways to get what you want:
So there are ways to get a .
So the probability becomes
The sample space, or total possible outcomes, when rolling two six-sided dice is
Ways to get what you want:
So there are
So the probability becomes
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The 70th and 80th percentiles of a set of scores are 78 and 86, respectively; the interquartile range of the scores is 41. Which of these scores is more likely than the others to be at the 25th percentile?
The 70th and 80th percentiles of a set of scores are 78 and 86, respectively; the interquartile range of the scores is 41. Which of these scores is more likely than the others to be at the 25th percentile?
Tap to reveal answer
The interquartile range of a set of scores is the difference between the third and first quartile - that is, the difference between the 75th and 25th percentiles. The 75th percentile is between 78 and 86, so, if 41 is subtracted from those numbers, the upper and lower bounds of the 25th percentile can be found.
Of our choices, only 40 falls in this range.
The interquartile range of a set of scores is the difference between the third and first quartile - that is, the difference between the 75th and 25th percentiles. The 75th percentile is between 78 and 86, so, if 41 is subtracted from those numbers, the upper and lower bounds of the 25th percentile can be found.
Of our choices, only 40 falls in this range.
← Didn't Know|Knew It →
is the median of the overall data set. is the median of the lower half of the data set. is the median of the upper half of the data set.
Find the interquartile range for the following data set:
Find the interquartile range
Tap to reveal answer
First, put the data set in order from smallest to largest:
which is the middle number in the data set.
which is the average of the two middle numbers of the lower half of the data set.
which is the average of the two middle numbers of the upper half of the data set.
Thus the interquartile range is
Note, the range of the data set is given by the largest number minus the smallest number, or
First, put the data set in order from smallest to largest:
Thus the interquartile range is
Note, the range of the data set is given by the largest number minus the smallest number, or
← Didn't Know|Knew It →
What is the probability of getting a sum of when rolling two six-sided fair dice?
What is the probability of getting a sum of
Tap to reveal answer
The sample space, or total possible outcomes, when rolling two six-sided dice is .
Ways to get what you want:
So there are ways to get a .
So the probability becomes
The sample space, or total possible outcomes, when rolling two six-sided dice is
Ways to get what you want:
So there are
So the probability becomes
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The 70th and 80th percentiles of a set of scores are 78 and 86, respectively; the interquartile range of the scores is 41. Which of these scores is more likely than the others to be at the 25th percentile?
The 70th and 80th percentiles of a set of scores are 78 and 86, respectively; the interquartile range of the scores is 41. Which of these scores is more likely than the others to be at the 25th percentile?
Tap to reveal answer
The interquartile range of a set of scores is the difference between the third and first quartile - that is, the difference between the 75th and 25th percentiles. The 75th percentile is between 78 and 86, so, if 41 is subtracted from those numbers, the upper and lower bounds of the 25th percentile can be found.
Of our choices, only 40 falls in this range.
The interquartile range of a set of scores is the difference between the third and first quartile - that is, the difference between the 75th and 25th percentiles. The 75th percentile is between 78 and 86, so, if 41 is subtracted from those numbers, the upper and lower bounds of the 25th percentile can be found.
Of our choices, only 40 falls in this range.
← Didn't Know|Knew It →
is the median of the overall data set. is the median of the lower half of the data set. is the median of the upper half of the data set.
Find the interquartile range for the following data set:
Find the interquartile range
Tap to reveal answer
First, put the data set in order from smallest to largest:
which is the middle number in the data set.
which is the average of the two middle numbers of the lower half of the data set.
which is the average of the two middle numbers of the upper half of the data set.
Thus the interquartile range is
Note, the range of the data set is given by the largest number minus the smallest number, or
First, put the data set in order from smallest to largest:
Thus the interquartile range is
Note, the range of the data set is given by the largest number minus the smallest number, or
← Didn't Know|Knew It →
What is the probability of getting a sum of when rolling two six-sided fair dice?
What is the probability of getting a sum of
Tap to reveal answer
The sample space, or total possible outcomes, when rolling two six-sided dice is .
Ways to get what you want:
So there are ways to get a .
So the probability becomes
The sample space, or total possible outcomes, when rolling two six-sided dice is
Ways to get what you want:
So there are
So the probability becomes
← Didn't Know|Knew It →
The 70th and 80th percentiles of a set of scores are 78 and 86, respectively; the interquartile range of the scores is 41. Which of these scores is more likely than the others to be at the 25th percentile?
The 70th and 80th percentiles of a set of scores are 78 and 86, respectively; the interquartile range of the scores is 41. Which of these scores is more likely than the others to be at the 25th percentile?
Tap to reveal answer
The interquartile range of a set of scores is the difference between the third and first quartile - that is, the difference between the 75th and 25th percentiles. The 75th percentile is between 78 and 86, so, if 41 is subtracted from those numbers, the upper and lower bounds of the 25th percentile can be found.
Of our choices, only 40 falls in this range.
The interquartile range of a set of scores is the difference between the third and first quartile - that is, the difference between the 75th and 25th percentiles. The 75th percentile is between 78 and 86, so, if 41 is subtracted from those numbers, the upper and lower bounds of the 25th percentile can be found.
Of our choices, only 40 falls in this range.
← Didn't Know|Knew It →
is the median of the overall data set. is the median of the lower half of the data set. is the median of the upper half of the data set.
Find the interquartile range for the following data set:
Find the interquartile range
Tap to reveal answer
First, put the data set in order from smallest to largest:
which is the middle number in the data set.
which is the average of the two middle numbers of the lower half of the data set.
which is the average of the two middle numbers of the upper half of the data set.
Thus the interquartile range is
Note, the range of the data set is given by the largest number minus the smallest number, or
First, put the data set in order from smallest to largest:
Thus the interquartile range is
Note, the range of the data set is given by the largest number minus the smallest number, or
← Didn't Know|Knew It →