Questions tagged [percentage]

Number or ratio expressed as a portion of 100

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

The word "percentage" goes back to the latin words "centum" which mean 100 in English. "Per centum" can be literally translated as "from hundred".

Often percentages are depicted as pie charts summing up to 1, i.e. 100 %. Often a percentage is also used to show a relative change, e.g. in 2013 the GDP growth rate in the USA was 2.2 percent which mean that:

GDP USA 2013 = 102.2 GDP USA 2012

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How can percents not adding up to a hundred be possible?

I was reading this paper about aquaponics and some of the stats did not make any sense with regard to the percents listed. What method would allow these percents to exist? The most commonly raised aquatic animals by percent were tilapia (69%),…
HSchmale
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How to analyze percent data when most of the data is 0%?

I have a set of percent data on histological abnormalities in fish gills and I need to compare the results between two sites A and B. We analyzed abnormalities in lamellae of a particular gill arch. For example for fish 1 we counted 500 lamellae and…
John
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Comparing Percent Changes

I want to present information in the "most unbiased" manner possible: State XYZ increased GDP by 5.0 % last year The US increased GDP by 1.0 % last year Is there any (statistical?) bias in the statement: "State XYZ grew 4.0x faster than the…
AIS7000
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How many times more likely are the members of Group A to be diagnosed with virus X compared to the members of Group B?

Suppose Group A makes up an estimated 2% of the population and Group B makes up an estimated 98% of the population (Group B consists of everyone who is not in Group A). However, Group A accounted for 80% of the estimated new virus X…
glebovg
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Test that observed percentages differ from theoretical distribution (e.g. 50%)

I have a series of independent measurement of a percentage of binary events. (e.g. 60%, 65%, 55%, 59%, 60%). How can I test that the observed distribution is different from a theoretical of 50%.
Max
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How to relate a percentage to another percentage, ordering the result in a range between 0 and 1, and using weights

EDIT: I am referring to yearly return from trading is the first time series, the second one is an index the SPX I have some yearly measurements M1 : 2021 ->3%; 2020 ->14% ; 2019 ->-15% I could calculate a simple average and determine the mean 1%…
Drocchio
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Relative or Absolute Percent of Moving Total

I don't have a math background so am lacking in intuition when it comes to problems like this. I have X green apples out of a total of Y apples (red, green, etc). Let's say X=5 and Y=20, so I have 25% green apples. Both X and Y can change, and I…
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Using percentage change with different sample sizes, which is more significant?

I have some data that is looking at Virtual vs. Face to Face appointments (at a hospital) - please see data in pic below. This is split by first appointments and follow up appointments. I am comparing one month of data to another month (peak month…
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Calculate percentage from two groups

Imagine I have two groups of players: Group A plays tetris. It has 1000 registered players, and 6% (60) are active players; Group B plays pacman. It has 3000 registered players, and 4% (120) are active players; In terms of percentage, Group A has…
rlcabral
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How do I calculate relative proportion of a fraction with respect to total value?

I have several curves in one graph (see fig.). There are 5 discernible segments within each curve that are individual slopes. Within each "x-coordinate segment" there are five samples with their respective individual slopes. If the slope of one…
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Combining percentage from different categories

I have to combine two percentages from different categories, which are questions answered / total questions: 2/10 * 100 = 20% 3/6 * 100 = 50% I combined both percentages ((20+50)/2)*100 = 35% But if I combine all questions and total questions…
Sam
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How can I get an average of percentages?

I can't seem to find an answer to my exact question. I want find how much on average a stock or the stock market goes up during an up week (or month) and down during a down week (or month). Let's say it goes up 5% the first week up 10% the second…
Eliot
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Transferring percentage scores to raw scores

I have a question ranging from 1 to 5. I have 10 subjects, 6 persons select 4 and 4 persons select 5, So the average question is 4.4. If I calculate percentage for response modes ( 1 to 5), I get the following result 1 2 3 4 5 0 0 0 60 40…
User20100
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Formulation of percentage difference

I have calculated true positive rate (TPR) for two tests. I want to report the % difference for test b compared to test a. This is very simple, however, I have gotten myself confused as to how to report this. Example: TPR for test a = 38/110 =…
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Which statistical test can you use to compare the % frequency of a selection of 1 of 3 options (feeding locations) from 2 groups:adults vs. juveniles?

I am trying to compare how often members from two groups of turtles (adults vs juveniles), fed in 1 of 3 locations (sea floor, free-floating, or surface). I don't think I can use a chi-squared or Fisher's as the turtles could have fed in multiple…
RMM
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