# Questions tagged [interquartile]

The interquartile range or midspread is a central interval containing 50% of the data, eliminating the 25% smallest and 25% largest observations.

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### Replacing outliers with the median value of the preceding 5 observations

In the paper Implications of dynamic factor models for VAR analysis the authors propose a a technique for removing outliers in variables used for dyanamic factors analysis: "The outlier ...
1 vote
27 views

### Calculating descriptive stats for aggregate/binned data [duplicate]

I have several datasets that I wish to analyse and summarize - and I'm starting with the basic median, and percentile/quartiles to begin with (unless there are other approaches I should be considering)...
• 11
698 views

### Why is the Tukey's IQR not used in the R program?

I was writing an R Markdown for calculating measures of spread and was surprised to find that the IQR function does not use the IQR calculation I am used to using, ...
• 3,830
56 views

### Comparing averages of non normal distributions

I want to compare the daily average revenue of a promotion period (7 days) of a business with the daily average of the rest of the year. So, sample 1 has 7 data points, whereas sample 2 has 300 data ...
26 views

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1 vote
306 views

### Percentile calculation for binary voting system

Consider a system like Tinder for example where users can vote yes or no to a profile (like or dislike). If Tinder wanted to come up with an internal percentile rating of a user based only on the ...
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4k 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 ...
• 43
1 vote
6k 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 ...
12k views

### How to calculate the 4th quartile from median and IQR?

How can I calculate the 4th quartile from median and IQR. In a scientific article, I have those values: The median is 2.8 ng/ml of bisphenol A and The interquartile range, they wrote that 1.5-5.6. ...
868 views

### Transform a variable to desired Median and IQR

I am looking for a method to transform a variable ($Y_{old}$) into a new variable ($Y_{new}$) with a target median ($Median_{new}$) and IQR ($IQR_{new}$). The following transformation seems to work, ...
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4k views

### How are whiskers in a Boxplot of different lengths? [duplicate]

The formula for calculating the position of the whiskers is Q3+1.5IQR and Q1-1.5IQR But doesn't that mean that the length of the whiskers should be of the same length? How are they of different ...
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11k views

### IQR is 0 but mean is not 0

I have a dataset where the 5 number summary is: ...
52 views

### How to determine distribution from Sleep data min/max/mean values in R? [duplicate]

I want to determine the distribution from the EMFIT QS sleep data which gives only min, max and ...
104 views

### Is it valid to average IQR values?

I am interested in quantifying the dispersion of pixel values in one image. More specifically, I want to get an average value of dispersion of the image column-wise (i.e., compute the dispersion of ...
13k views

### What does the IQR/median mean?

What does IQR/Med tell you about the data? What is the purpose of dividing the IQR by the Median? Examples: ...
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8k views

### Variance/standard deviation versus interquartile range (IQR)

Variance and interquartile range (IQR) are both measures of variability. But IQR is robust to outliers, whereas variance can be hugely affected by a single observation. Since variance (or standard ...
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