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Questions tagged [range]

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

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1answer
62 views

Distribution of ranges of normally distributed variables

I have four independent variables $x_i$, each of them normally distributed with $\mu = 0$ and $\sigma = 1$. What is the distribution of the range of the four variables, i.e., $\max(x_i) - \min(x_i)$? ...
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2answers
24 views

Statistical dispersion metric for single extreme value

I have around a million sets of 8 datapoints. I would like to rank these sets of 8 data points. I am trying to identify sets where there is a single extreme value and the other 7 datapoints are of ...
14
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1answer
1k views

What is the name for the average of the largest and the smallest values in a given data set?

What do you call a statistical mean that is calculated from upper and lower extremes in any given dataset? For example, if you have a set: ...
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1answer
27 views

Expected value of CDF evaluated at sample min/max, with respect to sample size

I've been using simulation to investigate the behavior of cumulative density function evaluated at extreme values of a sample. Functionally, my study has $n$ instrumented fish migrating downstream ...
3
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3answers
113 views

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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1answer
44 views

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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0answers
6 views

How to find windows of non-standard data in graph with a certain minimum width?

I'm doing a project involving EEG brain data; I have a relatively noisy graph representing a user's calculated concentration level over time, and would like to find time intervals at which their ...
0
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0answers
16 views

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 ...
1
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1answer
113 views

Significance of correlation with range restriction in x

Background Range restriction can happen in various study designs and it affects the results of bivariate correlation or in multiple regression, for example. In some cases the range restriction may be ...
0
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1answer
38 views

Name for Standard Deviation over possible range (1-255)?

I have RGB brightness values over a possible range of 1-255. I am already computing Coefficient of Variation, but since my domain is strictly limited, I am interested in seeing a measure of how spread ...
0
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1answer
28 views

correlation with small range of data

I have two count variables. I want to calculate a Pearson correlation between them. However one of the variables only has a rangge of 1-7. Is it inadvisable to use Pearson correlation to study a ...
1
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1answer
274 views

multivariate normal distribution range [duplicate]

Simple question about MVN pdf. I understand the domain to be [0,1]. However, why does scipy.stats.multivariate_normal.pdf output values above this range. E.g. <...
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0answers
41 views

How is this mean scale score range calculated?

I have the attached report for a standardized test (data in the report is simulated). I'm wondering how the column Mean Scale Score Range is calculated. Do the lines indicate the limits of 95% of ...
1
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1answer
4k views

Normalize an array of numbers to specific range

How can I normalize a value from an array of values (e.g., {0, 3, 4, 7, 9, 13, 22}) to a range of [12,24]?
2
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1answer
29 views

Mean nonequality test if data are intervals

If $X, Y$ are two sets of observations of two random scalar (univariate) variables, one can determine if the expected values of the two variables are unequal, with appropriate tests. My question is: ...
3
votes
1answer
791 views

What is meant by the interquartile range of ordinal data?

It is commonly said that the interquartile range (IQR) is suitable to describe ordinal-, interval- and ratio-level data (one of many examples found on the Internet). But calculating the IQR includes ...
2
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1answer
51 views

Does changing the point range of items of a construct measured through likert scale affect in any way validity and reliability of the construct?

I am using a pre-existing universal tested scale to measure a specific construct. The construct is measured through 5 items on a 5 points likert scale. However, I would probably need to change the ...
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0answers
35 views

How to create a dynamic range?

I have data for the entire last year. It is simply a value of a variable for every minute, grouped by days. What I need to do is take all this data and define a dynamic range - that is, define two ...
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0answers
46 views

Comparing ranges of different groups

I have data that's like as follows $A : 133-134$ $B : 131-135$ $C : 135-148$ I have to check if $A$ is more "similar" to $B$ or $C$ where similarity is defined as smallest "distance" between the ...
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0answers
2k views

How to normalize data using Interquartile range?

I am trying to normalize a dataset using the Interquartile range (IQR), I've already gotten the value of IQR, which is Q3 -Q1 (difference between 75th and 25th percentiles), what should I do then? For ...
-1
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2answers
508 views

Why does Mean deviation = Standard deviation = Range/2?

We know that mean deviation and standard deviation are two different things but why are both of them equal to Range/2? Range ($R$) = Highest value - lowest value Mean deviation ($\text{MD}$) = ...
1
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1answer
7k views

Calculating Range based on Mean, Standard Deviation and Varying Sample Size

I have recently began studying statistics with my learning material being a book on "Basic Statistics for the Behavioral Sciences by Kenneth D. Hopkins and Gene V Glass (1978)", and so far I have ...
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0answers
288 views

Using Regression to predict target variable of small range

I am using Random Forest regression (of scikit-learn). In the train set, the target variables only range from 1-6 ( & they can meaningfully, only be integers, in my case). The target variables are ...
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0answers
485 views

Finding the upper limit of range for standard deviations

A very basic question - from someone who last studied Maths 25 years ago and has forgotten more then he ever learnt! I have a data set of weekly sales for products, and wish to determine what stock ...
1
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1answer
83 views

Constraining a model to output only a range between 1 to 100 (without using logistic regression)

Currently, I am modelling the results of game theory experiments where two parties negotiate to divide a fixed sum of money between themselves. Y is recorded as the percentage of the money which the ...
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0answers
19 views

What all can be found from the given information?

Sums and products of every pair of n numbers are given, however it is not known as which pair's sum and product they are. From this information we can find: a) Mean of the n numbers b)Variance of the ...
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3answers
2k views

Beta Coefficient range

Is there a table of range for beta coefficients used in multiple linear regression that we can use to interpret if influence is strong, very strong, weak or very weak. Thanks!
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2answers
1k views

Calculating the variance of a truncated normally distributed RV given the prob. of a range

Let's say that I have a Truncated Normal Distribution (from a to b) with mean $m$ (where $m$ is the mean of the truncated Normal) and not known std. I know the probability for the range $m-d$ and $m+...
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0answers
57 views

Convert Probability of Landing in Range to Log Normal Probability Distribution

I am working on a dataset that shows the probability of the FOMC Fed Funds Rate being in a specific range after a future FOMC meeting. The probability is based on a log-normal distribution (bounded by ...
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0answers
1k views

Normalization when Max and Min Values are Reversed

I'm running an experiment where I'm continuously sampling from a dial hooked into a physiological recorder as a hack because the dial won't interface with the equipment we're using any other way. By ...
7
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3answers
3k views

Median > Mode > Mean > Range

My question is: Is there a set of data which allow the median to be larger than the mode, the mode to be larger than the mean and the mean to be larger than the range? If so, is there a pattern, or a ...
3
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0answers
25 views

Distributing uniformly N values into P classes

I'll try to briefly explain my need. I have N values and P classes. I need to calculate the boundaries for each class such that ...
1
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2answers
824 views

How to judge skewness based on the mean and range?

Is there any rule of thumb to judging skewness of data based on its mean and range (max-min)? I found such implication in one of the papers I'm reading and I can't see why it would be obvious. The ...
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1answer
253 views

Poisson Ranges for Small Numbers? [closed]

I came across a presentation from a major university on R and Monte Carlo simulations. It mentioned that if you wanted to create ranges for numbers you are going to use in a Poisson distribution, you ...
1
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1answer
82 views

What method can be used to evaluate distribution from observations given by their bounds (ranges)?

A standard problem of statistics is to evaluate statistical properties (mean, variance, probability distribution) from a set of numerical observations. However, in some cases instead of having ...
0
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0answers
89 views

Adding an id variable in a linear model causes small coefficient and strange range of fitted values

So I'm trying to construct a linear model on a data set and the data set has an id variable that is a school id. The data set measures (or i.e. the response is) ...
0
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0answers
197 views

How do I calculate an unbiased estimate of the standard deviation, knowing only the degrees of freedom

I have $k$ groups of $m$ independent samples from a standard normal distribution. The groups are averaged as $K_1$ through $K_m$ the total number of samples is then $mk=n$. I also have the range of $...
2
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1answer
1k views

How to determine population range based on a sample

How to determine the range of values of the population (with some confidence, e.g. 95%) based on a sample? I thought about one approach to follow the 68-95-99 rule, based on population mean estimate ...
4
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1answer
968 views

Is there a relation between sample size and variable range?

I have done simulations with different sample sizes of a normal distribution (mean=0, sd=10) and plotted the number of samples against statistical parameters. I understand that the relation of sample ...
0
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1answer
54 views

How do I find the range? Details below

"The average mark in a grade 9 math class is 75.5% with a standard deviation of 9.5%. If Grade 9 math marks have a normal distribution: b) Within what range of marks are 99.7% of all students?" In ...
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0answers
145 views

Comparing different scale ranges for one Likert scale instrument

I don't believe this exact question has been asked before. I am conducting a meta-analysis on a certain Likert scale survey instrument that has been psychometrically validated. It is a 16 question ...
2
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1answer
3k views

Calculate the mid-60% range

I need some help please! I am not too sure how to answer question 1.3 regarding the "mid-60& range". Are they looking for 60th percentile? Thanks for the assistance!
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0answers
608 views

Normalization by z-score + range [0,1]

I am trying to normalize my dataset for further analysis. I have several data coming from different subjects, so I have first applied z-score normalization to each variable of each subject in order to ...
1
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1answer
13k views

How to interpret interquartile range?

I have two categories of DVDs: 'Feature Films' and 'Children's Film and TV'. The IQRs of their prices are £6.50 and £3.50 respectively. What would the interquartile range show overall?
2
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2answers
226 views

Describing a visual relationship statistically

I have a dataset here that describes the relationship between problem_complexity and solution_complexity in a work process. ...
2
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0answers
62 views

Determining the range of a random distribution from a finite set of numbers generated from that distribution?

My problem is as follows: I am provided a set of 5 integers that have been randomly generated from the range of 1 to n. Using these 5 integers, I have to determine the original n. Obviously, this ...
3
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3answers
78 views

Limiting the range of numbers

Suppose that I have the following data set: {0.1, 0.2, 0.5, -0.1, 0.5, 1.1, 0.8} I would like to limit the range of these data to be within the range of [0,1]. ...
1
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1answer
37 views

Expected value and variance for the changed range

I have a distribution with E[X]=-8 and Var[X]=60 and the range of the data [-256,255]. I want to convert this distribution of range [0,256] taking the absolute value of data set. What will be the ...
3
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3answers
34k views

Min and max range from standard deviation

If I have 2 data points like 16.70 (+/-4.33) 54.70 (+/-16.30) where 16.7 = mean and +/- 4.33 is the standard deviation, is it possible to calculate a range out ...
3
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3answers
16k views

If I only have a range, is it acceptable to calculate an average out of it?

Supposed I have only this data point available: Concentration = (1.1 - 2.0 g/L). Is it acceptable to conclude : ...