Percentiles - Algebra 2
Card 1 of 32
Find the 85th percentile score in the following test results.
{95, 88, 70, 75, 83, 70, 66, 91, 68, 76, 82}
Find the 85th percentile score in the following test results.
{95, 88, 70, 75, 83, 70, 66, 91, 68, 76, 82}
Tap to reveal answer
{95, 88, 70, 75, 83, 70, 66, 91, 68, 76, 82}
Arrange the values in numerical order.
{66, 68, 70, 70, 75, 76, 82, 83, 88, 91, 95}
Use the following to calculate percentile-
where 
is the percentile and 
is the number of data in the set
This number gives of the location of the 85th percentile in our ordered set. Since it is not a whole number, round up, which will give us 10.
The 85th percentile score is the 10th value in our set, which is 91.
{95, 88, 70, 75, 83, 70, 66, 91, 68, 76, 82}
Arrange the values in numerical order.
{66, 68, 70, 70, 75, 76, 82, 83, 88, 91, 95}
Use the following to calculate percentile-
where
This number gives of the location of the 85th percentile in our ordered set. Since it is not a whole number, round up, which will give us 10.
The 85th percentile score is the 10th value in our set, which is 91.
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Above is the stem-and-leaf display for a group of test scores. Which of the following scores would come closest to being at the 
percentile?
Above is the stem-and-leaf display for a group of test scores. Which of the following scores would come closest to being at the 
Tap to reveal answer
The stem-and-leaf display represents 53 scores. The score at the 35th percentile would be the score that is greater than 35% of the scores, or
scores.
Rounding, we count 19 scores from the bottom:
The score represented is 64, which is the correct response.
The stem-and-leaf display represents 53 scores. The score at the 35th percentile would be the score that is greater than 35% of the scores, or
Rounding, we count 19 scores from the bottom:
The score represented is 64, which is the correct response.
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Above is the stem-and-leaf display for a group of test scores. At what percentile would the student who made a score of 86 be?
Above is the stem-and-leaf display for a group of test scores. At what percentile would the student who made a score of 86 be?
Tap to reveal answer
The stem-and-leaf display represents 53 scores. The "stems" (or left column) represent the tens digits, and the "leaves" in each row represent units digits, so the scores are
The student who scored an 86 outscored 42 of the students, or
of them. Since percentile is given to the nearest whole number, the correct response is 79.
The stem-and-leaf display represents 53 scores. The "stems" (or left column) represent the tens digits, and the "leaves" in each row represent units digits, so the scores are
The student who scored an 86 outscored 42 of the students, or
of them. Since percentile is given to the nearest whole number, the correct response is 79.
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If a student is ranked eight out of ten in a competition, what is the student's percentile rank?
If a student is ranked eight out of ten in a competition, what is the student's percentile rank?
Tap to reveal answer
The formula to calculate a percentile rank is: 
where 
represents total of scores below the rank, and 
is the total number of competitors.
Substitute the values into the formula.
The formula to calculate a percentile rank is:
where
Substitute the values into the formula.
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The times for a six-mile race are shown below.
Sean: 
hours
Ankur: 
hours
Sarah: 
hours
Fred: 
hours
Ron: 
hours
Jareth: 
hours
Determine which percentile Sean's time is in.
The times for a six-mile race are shown below.
Sean:
Ankur:
Sarah:
Fred:
Ron:
Jareth:
Determine which percentile Sean's time is in.
Tap to reveal answer
First arrange the runners in order of fastest to slowest times:
Ron
Sarah
Jareth
Sean
Ankur
Fred
There are six runners so there will be six different percentiles, each seperated by 
percent. A person's percentile refers to which percentage of times are below that person's time. For example, Ron's time is better than 
percent of all runners, so he is in the 
rd percentile.
Then each runner is in the following percentiles:
Ron - 
rd
Sarah - 
th
Jareth - 
th
Sean - 
rd
Ankur - 
th
Fred - 
th
As you can see, Sean is in the 
rd percentile.
First arrange the runners in order of fastest to slowest times:
Ron
Sarah
Jareth
Sean
Ankur
Fred
There are six runners so there will be six different percentiles, each seperated by
Then each runner is in the following percentiles:
Ron -
Sarah -
Jareth -
Sean -
Ankur -
Fred -
As you can see, Sean is in the
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In a litter of nine kittens, the only orange kitten weighs more than three in the litter, and less than the other remaining five.
What is the percentile of the orange kitten's weight in comparison to the litter?
In a litter of nine kittens, the only orange kitten weighs more than three in the litter, and less than the other remaining five.
What is the percentile of the orange kitten's weight in comparison to the litter?
Tap to reveal answer
The percentile is equal to how many items in the set are equal to or less than the one in question divided by the total number of items in the set.
Because there are four items equal to or less than the orange kitten's weight and there are nine items total in the set, the percentile is equal to
or 
The percentile is equal to how many items in the set are equal to or less than the one in question divided by the total number of items in the set.
Because there are four items equal to or less than the orange kitten's weight and there are nine items total in the set, the percentile is equal to
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98, 99, 99, 100, 101, 102, 104, 104, 105, 105, 107, 110, 112, 112
For the above data set, 102 is in what percentile?
98, 99, 99, 100, 101, 102, 104, 104, 105, 105, 107, 110, 112, 112
For the above data set, 102 is in what percentile?
Tap to reveal answer
In the data set, 102 is the 6th data point listed. There are 14 data points total. This means that 
% of the data is at or below 102. That's approximately the 43rd percentile.
In the data set, 102 is the 6th data point listed. There are 14 data points total. This means that
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98, 99, 99, 100, 101, 102, 104, 104, 105, 105, 107, 110, 112, 112
For the above data set, 110 is in what percentile?
98, 99, 99, 100, 101, 102, 104, 104, 105, 105, 107, 110, 112, 112
For the above data set, 110 is in what percentile?
Tap to reveal answer
The number 110 is the 12th in the list of 14 data points. That means that 
%. Since about 86% of the data points are at or below 110, it's in the 86th percentile.
The number 110 is the 12th in the list of 14 data points. That means that
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Find the 85th percentile score in the following test results.
{95, 88, 70, 75, 83, 70, 66, 91, 68, 76, 82}
Find the 85th percentile score in the following test results.
{95, 88, 70, 75, 83, 70, 66, 91, 68, 76, 82}
Tap to reveal answer
{95, 88, 70, 75, 83, 70, 66, 91, 68, 76, 82}
Arrange the values in numerical order.
{66, 68, 70, 70, 75, 76, 82, 83, 88, 91, 95}
Use the following to calculate percentile-
where is the percentile and is the number of data in the set
This number gives of the location of the 85th percentile in our ordered set. Since it is not a whole number, round up, which will give us 10.
The 85th percentile score is the 10th value in our set, which is 91.
{95, 88, 70, 75, 83, 70, 66, 91, 68, 76, 82}
Arrange the values in numerical order.
{66, 68, 70, 70, 75, 76, 82, 83, 88, 91, 95}
Use the following to calculate percentile-
where
This number gives of the location of the 85th percentile in our ordered set. Since it is not a whole number, round up, which will give us 10.
The 85th percentile score is the 10th value in our set, which is 91.
← Didn't Know|Knew It →
Above is the stem-and-leaf display for a group of test scores. Which of the following scores would come closest to being at the percentile?
Above is the stem-and-leaf display for a group of test scores. Which of the following scores would come closest to being at the
Tap to reveal answer
The stem-and-leaf display represents 53 scores. The score at the 35th percentile would be the score that is greater than 35% of the scores, or
scores.
Rounding, we count 19 scores from the bottom:
The score represented is 64, which is the correct response.
The stem-and-leaf display represents 53 scores. The score at the 35th percentile would be the score that is greater than 35% of the scores, or
Rounding, we count 19 scores from the bottom:
The score represented is 64, which is the correct response.
← Didn't Know|Knew It →
Above is the stem-and-leaf display for a group of test scores. At what percentile would the student who made a score of 86 be?
Above is the stem-and-leaf display for a group of test scores. At what percentile would the student who made a score of 86 be?
Tap to reveal answer
The stem-and-leaf display represents 53 scores. The "stems" (or left column) represent the tens digits, and the "leaves" in each row represent units digits, so the scores are
The student who scored an 86 outscored 42 of the students, or
of them. Since percentile is given to the nearest whole number, the correct response is 79.
The stem-and-leaf display represents 53 scores. The "stems" (or left column) represent the tens digits, and the "leaves" in each row represent units digits, so the scores are
The student who scored an 86 outscored 42 of the students, or
of them. Since percentile is given to the nearest whole number, the correct response is 79.
← Didn't Know|Knew It →
If a student is ranked eight out of ten in a competition, what is the student's percentile rank?
If a student is ranked eight out of ten in a competition, what is the student's percentile rank?
Tap to reveal answer
The formula to calculate a percentile rank is:
where represents total of scores below the rank, and is the total number of competitors.
Substitute the values into the formula.
The formula to calculate a percentile rank is:
where
Substitute the values into the formula.
← Didn't Know|Knew It →
The times for a six-mile race are shown below.
Sean: hours
Ankur: hours
Sarah: hours
Fred: hours
Ron: hours
Jareth: hours
Determine which percentile Sean's time is in.
The times for a six-mile race are shown below.
Sean:
Ankur:
Sarah:
Fred:
Ron:
Jareth:
Determine which percentile Sean's time is in.
Tap to reveal answer
First arrange the runners in order of fastest to slowest times:
Ron
Sarah
Jareth
Sean
Ankur
Fred
There are six runners so there will be six different percentiles, each seperated by percent. A person's percentile refers to which percentage of times are below that person's time. For example, Ron's time is better than percent of all runners, so he is in the rd percentile.
Then each runner is in the following percentiles:
Ron - rd
Sarah - th
Jareth - th
Sean - rd
Ankur - th
Fred - th
As you can see, Sean is in the rd percentile.
First arrange the runners in order of fastest to slowest times:
Ron
Sarah
Jareth
Sean
Ankur
Fred
There are six runners so there will be six different percentiles, each seperated by
Then each runner is in the following percentiles:
Ron -
Sarah -
Jareth -
Sean -
Ankur -
Fred -
As you can see, Sean is in the
← Didn't Know|Knew It →
In a litter of nine kittens, the only orange kitten weighs more than three in the litter, and less than the other remaining five.
What is the percentile of the orange kitten's weight in comparison to the litter?
In a litter of nine kittens, the only orange kitten weighs more than three in the litter, and less than the other remaining five.
What is the percentile of the orange kitten's weight in comparison to the litter?
Tap to reveal answer
The percentile is equal to how many items in the set are equal to or less than the one in question divided by the total number of items in the set.
Because there are four items equal to or less than the orange kitten's weight and there are nine items total in the set, the percentile is equal to
or
The percentile is equal to how many items in the set are equal to or less than the one in question divided by the total number of items in the set.
Because there are four items equal to or less than the orange kitten's weight and there are nine items total in the set, the percentile is equal to
← Didn't Know|Knew It →
98, 99, 99, 100, 101, 102, 104, 104, 105, 105, 107, 110, 112, 112
For the above data set, 102 is in what percentile?
98, 99, 99, 100, 101, 102, 104, 104, 105, 105, 107, 110, 112, 112
For the above data set, 102 is in what percentile?
Tap to reveal answer
In the data set, 102 is the 6th data point listed. There are 14 data points total. This means that % of the data is at or below 102. That's approximately the 43rd percentile.
In the data set, 102 is the 6th data point listed. There are 14 data points total. This means that
← Didn't Know|Knew It →
98, 99, 99, 100, 101, 102, 104, 104, 105, 105, 107, 110, 112, 112
For the above data set, 110 is in what percentile?
98, 99, 99, 100, 101, 102, 104, 104, 105, 105, 107, 110, 112, 112
For the above data set, 110 is in what percentile?
Tap to reveal answer
The number 110 is the 12th in the list of 14 data points. That means that %. Since about 86% of the data points are at or below 110, it's in the 86th percentile.
The number 110 is the 12th in the list of 14 data points. That means that
← Didn't Know|Knew It →
Find the 85th percentile score in the following test results.
{95, 88, 70, 75, 83, 70, 66, 91, 68, 76, 82}
Find the 85th percentile score in the following test results.
{95, 88, 70, 75, 83, 70, 66, 91, 68, 76, 82}
Tap to reveal answer
{95, 88, 70, 75, 83, 70, 66, 91, 68, 76, 82}
Arrange the values in numerical order.
{66, 68, 70, 70, 75, 76, 82, 83, 88, 91, 95}
Use the following to calculate percentile-
where is the percentile and is the number of data in the set
This number gives of the location of the 85th percentile in our ordered set. Since it is not a whole number, round up, which will give us 10.
The 85th percentile score is the 10th value in our set, which is 91.
{95, 88, 70, 75, 83, 70, 66, 91, 68, 76, 82}
Arrange the values in numerical order.
{66, 68, 70, 70, 75, 76, 82, 83, 88, 91, 95}
Use the following to calculate percentile-
where
This number gives of the location of the 85th percentile in our ordered set. Since it is not a whole number, round up, which will give us 10.
The 85th percentile score is the 10th value in our set, which is 91.
← Didn't Know|Knew It →
Above is the stem-and-leaf display for a group of test scores. Which of the following scores would come closest to being at the percentile?
Above is the stem-and-leaf display for a group of test scores. Which of the following scores would come closest to being at the
Tap to reveal answer
The stem-and-leaf display represents 53 scores. The score at the 35th percentile would be the score that is greater than 35% of the scores, or
scores.
Rounding, we count 19 scores from the bottom:
The score represented is 64, which is the correct response.
The stem-and-leaf display represents 53 scores. The score at the 35th percentile would be the score that is greater than 35% of the scores, or
Rounding, we count 19 scores from the bottom:
The score represented is 64, which is the correct response.
← Didn't Know|Knew It →
Above is the stem-and-leaf display for a group of test scores. At what percentile would the student who made a score of 86 be?
Above is the stem-and-leaf display for a group of test scores. At what percentile would the student who made a score of 86 be?
Tap to reveal answer
The stem-and-leaf display represents 53 scores. The "stems" (or left column) represent the tens digits, and the "leaves" in each row represent units digits, so the scores are
The student who scored an 86 outscored 42 of the students, or
of them. Since percentile is given to the nearest whole number, the correct response is 79.
The stem-and-leaf display represents 53 scores. The "stems" (or left column) represent the tens digits, and the "leaves" in each row represent units digits, so the scores are
The student who scored an 86 outscored 42 of the students, or
of them. Since percentile is given to the nearest whole number, the correct response is 79.
← Didn't Know|Knew It →
If a student is ranked eight out of ten in a competition, what is the student's percentile rank?
If a student is ranked eight out of ten in a competition, what is the student's percentile rank?
Tap to reveal answer
The formula to calculate a percentile rank is:
where represents total of scores below the rank, and is the total number of competitors.
Substitute the values into the formula.
The formula to calculate a percentile rank is:
where
Substitute the values into the formula.
← Didn't Know|Knew It →