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The American mockumentary sitcom television series, "The Office" undergoes a casting of extra characters that follow a geometric sequence. Every season the number of extras that appear in the sitcom increase at a rate of 2. With season 8 casting 17 new extras characters, season 9 casting 19, season 10 casting 21 and so on until season 13 . What is the percentile of 19 new extra characters casted in season 9 and the z-score in relation to the mean?

***HURRY JIM AND PAM NEED ANSWERS***

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The boys and girls Glendale Soccer team has scored well consistently in their games for 20 seasons. Below is the number of goals they scored in their last 20 seasons, they scored 27 goals in season 16. What is the percentile of 27 goals?

39 27 19 42 20 43 24 17 21 38 16 30 15 36 27 51 47 18 25 32

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What is the 25th percentile of the following times at the swim meet for 50 free?
45,38,36,34,33,32,32,31,30,29,29,29,28,28,28,27,26,24,24,22,

A)22
B)33
C)28
D)45
E)38

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The scores on a standardized test are normally distributed with a mean of 500 and a standard deviation of 60. Jake score 520 on the test.

What percent of student scored below Jake?

A. 33%
B. 57%
C. 63%
D. 72%

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What is the 30th percentile of this data set?
2, 2, 3, 4, 5, 5, 5, 6, 8, 8, 8, 8, 8, 9, 9, 10, 11, 11, 12, 12

A) 4
B)6
C)3
D)5

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Down below are the yards of rushing for the Washington Football Team for each game.

30,33,65,46,50,51,63,62,65,79

Washington started their win streak  during the 65 yrd game.

What percentile would 65 be at?

A.80th
B.10th
C.90th
D.20th

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20 students took a test on statistics what is the percentile of the student who scored higher than a 70%?

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The scores on a test have a mean of 500 and a standard deviation of 100. what score would you need to get to land in the 84th percentile?

A. 84
B. 400
C. 500
D. 600

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The scores for an 10 question AP Calculus diagnostic test are shown here. 15 students are in the class, and those students are new to all of the topics discussed and therefore have most likely guessed on most of the questions. Find the percentile of the student who scored an 8 on the test.

Answer Choices:
a) 75th
b) 80th
c) 73rd
d) 85th

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10 people tried to beat Super Mario Odyssey in under an hour in the least amount of tries and the results showed (1, 2, 2, 3, 4, 5, 5, 5, 5, 7)

What is the closest percentile estimate for the people that finished the game in under an hour and took 5 tries?

1. 88th percentile
2. 68th percentile
3. 77th percentile
4. 90th percentile

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Today, 18 people competed to see who could run the most miles in a marathon, here are the results: 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 7, 8, 9, 10, 10, 11

1. Which answer is the closest estimate to the percentile rank of people who ran 10 miles. Highlight your answer in green.

96th percentile

89th percentile

55th percentile

32nd percentile

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David uses dry ice to pack ice cream for shipping. The dot plot shows the density, in kilograms per cubic decimeter, of 15 blocks of dry ice David uses (a visual graph is shown below):

1.2, 1.2, 1.2, 1.2, 1.3, 1.3, 1.3, 1.3, 1.3, 1.4, 1.4, 1.4, 1.5, 1.6, 1.6

What is the closest estimate to the percentile of a block of dry ice with a density of 1.5 kg dm^3?

A. 15th
B. 80th
C. 86th
D. 55th

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Two sisters, Sara and Lisa, wanted to compare their AP biology tests to see who got a better score. Sara had taken it last year and Lisa had taken it this year. Lisa had taken a slightly different test than Sara. Find the Z-score for both grades to decide who did better in comparison to their class.

Sara's Score: 27
Mean for Sara's class: 21
Standard dev.: 3

Lisa's Score: 24
Mean for Lisa's class: 19
Standard dev: 2

A)Sara did better in class, with 2.5 standard deviations above the mean.
B) Lisa did better in class, with 3.5 standard deviations above the mean.
C) Sara did better in class, with 2 standard deviations above the mean.
D)Lisa did better in class, with 2.5 standard deviations above the mean.

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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}

Possible Answers:
89.5
85
91
88
93

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Study concepts, example questions & explanations for Algebra II

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?

Explanation:

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.

Find the 85th percentile score in the following test results.

{95, 88, 70, 75, 83, 70, 66, 91, 68, 76, 82}

Explanation:

{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.
If a student is ranked eight out of ten in a competition, what is the student's percentile rank?

Explanation:

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 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.

Explanation:

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.

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?

Explanation:

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

98, 99, 99, 100, 101, 102, 104, 104, 105, 105, 107, 110, 112, 112

For the above data set, 102 is in what percentile?

Explanation:

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.

98, 99, 99, 100, 101, 102, 104, 104, 105, 105, 107, 110, 112, 112

For the above data set, 110 is in what percentile?

Explanation:

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.

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?

Explanation:

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.

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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? Explanation: 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.

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19 students were asked how many TVs were in their homes. At what percentile are the students in who have 4 TVs in their home, and what are their z-scores?
2, 2, 3, 4, 4, 4, 4, 5, 5, 6, 7, 7, 7, 8, 8, 9
A. 37th percentile; 0.7
B. 29th percentile; 0.6
C. 37th percentile; -0.6
D. 29th percentile; -0.7

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Random student's ages were taken for a survey. If David is 13, what percentile is he in and what is his Z score.
9, 9, 10, 11, 12, 13, 14, 15
Standard deviation: 2.1
Mean 11.6

Percentile:________
Z score:
A. 1.1*
B. 2.9
C. 6.8
D. 3.3

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Becky has taken the standardized test of the PSAT. On the form is says her z-score was +3.00, what can you infer about her score on the test based on this z-score?

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Zion Williamson averages 45 points per game. There are 5 starters including Zion. What is the z score for Zion? What percentile is Zi
7, 9 , 13, 15, 45
Z-score
a)1.75
b)2.68
c)2.89
d)-2.68
Percentile
A)99.99
B)68th
C)37th
D)1
#TheGOAT

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These are the percentage of shots made in the paint by NBA players.

30, 33, 35, 46, 50, 51, 63, 62, 65, 79

Lebron James finishes in the paint at 65 percent.

What percentile would he be at?

A. 90th
B. 80th
C. 20th
D. 10th

The average shots percentage made in the paint is 51.4%. The standard deviation is 15.13%. Based on this information, what is Lebron's Z-Score?

A. 0.88
B. 0 .8
C. 0.9
D. 0. 98