# Questions tagged [range]

range is the difference between the largest and smallest data value.

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### What is meant by the probability of a sample having a value of $x$ is $ng(x)$?

Reading from Wikipedia: The probability of one sample having a value of $x$ is $n g(x)$. Assuming that the notation is consistent throughout the page, I would take $g$ to either be the probability ...
• 9,411
1 vote
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### Help finding unknown distribution (for fun)

I want to estimate the expected return of three different distributions. So there is this game I play, which has a function where you invest in a marketing campaign. There are three different types: ...
1 vote
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### Range of Subset of Population based on a Sample

Suppose I have a population with a known mean, range, and variance of a characteristic $v$. I am producing sets from this population that are of negligible size compared to the size of the population. ...
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### Transform data domain and maintain mean

I have a dataset, $y$, that is on some arbitrary range. I would like to transform this data to be on the range [-1,1]. This is accomplished using a linear transformation, such as the one described ...
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### Is the variance a suitable measure of variability in this context?

A rather basic question, prefaced by the fact that I know just enough about statistics to be dangerous. I work with Air Force Technical Training. I am trying to compare the ebb and flow of students ...
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### How to set the age range, median, and mean age

Thank you for reading my question. I used the clustering method to classify the age of the houses. This graph show the clustered results. I should to get the age range, mean age, and median age for ...
181 views

### Interquartile range when back-transformed mean on log-scale is not equal to median on normal scale

I have 2x10 observations that follow a non-normal distribution. They are perfectly distributed on log-scale. From what I've learned, the back-transformation of the mean on log-scale should be a "...
372 views

### Asymptotic efficiency of IQR

I was wondering about the asymptotic efficiency of the Interquartile Range (IQR) in the Gaussian case. I have calculated it empirically using a Monte Carlo estimator, and it appears to be equal to ...
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1 vote
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### Scale Range Question

I have a very simple question for those who are familiar with scale ranges. I am interpreting a psych assessment taken for an assessment class. The assessment includes 24 different wellness scales. ...
118 views

### What do we mean by 'range' in descriptive statistics?

The definition of the range has been given as the difference between the largest and the smallest value of the distribution. This, in my perception, tells us the discrepancy between the smallest and ...
87 views

### Hypothesis test for proportion falling below a threshold

Let's assume the following Null and Alternative hypothesis of a proportion: H0: $p < 0.01$ H1: $p \geq 0.01$ Generally, in ...
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### How should I estimate the variance in a sample or population from the sample range?

Suppose I wish to know the variance within a sample or of the population from which it is drawn. However, I do not have true measurements for most of my "observations". Think of them as like ...
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### Estimator for Range (Length of Stay )

I have sample data ad I want to test the claim that the mean length of stay is 7 days. Data is give as pairs ( Arrival Date, Departure Date) , each date given as the nth day of the year, e.g., Jan 3 ...
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### correlation within a limited range

How does one interpret a correlation that does not appear until an asymptotic point? For example, in the graph below?
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### Is there a meaning to the integral of $x \times f(x)$ over a range that is not infinite?

I know that the expected value can be computed as : $\mathbb{E}(X) = \int_{-\infty}^{\infty}xf(x)dx$ What if we do not do the integral over the whole range but only up to some value? Would there be ...
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### How can I find the start of a range in an automated way?

I am looking at real estate sales data for different regions. I bin the data by sold price range in 1000 increments (see below). I am looking to find the start of the price range or cluster in which ...
147 views

### Show that Sample Mean and Sample Range are independently distributed for a random sample from Normal Distribution

Let $X_{1},\ldots {, X_{n}}$ be iid random variables with $X_{1} ∼ N(µ,\sigma ^{2}).$Let $\bar{X}= \sum_{i=1}^{n} \frac{X_{i}}{n}$, $R=max_{1\le i \le n} \{X_{i}\}$-$min_{1\le i \le n}\{X_{i}\}$.Show ...
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### How did Acheson Duncan calculate degrees of freedom for ranges in his d2* table?

As found in Acheson Duncan, Quality Control and Industrial Statistics (and earlier), there is a table for d2* for estimating the variance from the range based on the number of subgroups and the ...
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### Unbiased estimator of standard deviation

I'm reading "Properties of range-based volatility estimators" where the authors talk about using the range of a distribution ($h$ - $l$) to estimate its volatility. Specifically, they say, Daily ...
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### If a false positive rate of α is desired, what is the acceptable range of false positives one would expect from a sample size of n?

For instance, suppose I design a test to have a false positive rate of 5%. I am going to perform this test on what is assumed to be an all negative population. If my sample size was 20, I would expect ...
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### Find Q1 and Q3 from median and IQR

A study gives the following: $n = 67$ mean = 73 sd = 68 median = 55 IQR = 66 Is it possible from this information to get the actual Q1 and Q3 values? I used the $n$, mean & sd to get 95% ...
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### Convert negative to positive percentage range into 1-10 scale

I know how to convert a range of positive % numbers into any positive integer scale, but am having trouble figuring out how to do it when my % range includes negative %s. Example: I have the ...
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### How to scale data to desired range? [duplicate]

I have a table with 3 columns X, Y and Z with n rows. The range of the data is 0-255. But I wished to scale the values such that the range becomes from -p to +q (where I decide p and q). I randomly ...
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### How to calculate a confidence interval for a series of Bernoulli Trials?

I have to test if a event have a p probability of happening. I can run this event as much times I like (given it can be run by a computer). So I was searching a way ...
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### What does range in descriptive statistics mean

What does high range in my variable mean??. If I have a variable whose range is less ,what does it mean??
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### Newbie wondering about standard deviation and how to detect outliers in new datapoints

So I have a dataset, with the count of records processed per day in each, e.g. | 27th April: 3491 | 28th April: 2058 | 29th April: 9321 | 30th April: 1021 I want to be able to take a new day's count ...