A data set can have how many median and quartile each
Answers
What is a Quartile?
A quartile is a statistical term describing a division of observations into four defined intervals based upon the values of the data and how they compare to the entire set of observations.
Understanding Quartiles
To understand the quartile, it is important to understand the median as a measure of central tendency. The median in statistics is the middle value of a set of numbers. It is the point at which exactly half of the data lies below and above the central value.
So, given a set of 13 numbers, the median would be the seventh number. The six numbers preceding this value are the lowest numbers in the data, and the six numbers after the median are the highest numbers in the data set given. Because the median is not affected by extreme values or outliers in the distribution, it is sometimes preferred to the mean.
The median is a robust estimator of location but says nothing about how the data on either side of its value is spread or dispersed. That is where the quartile steps in. The quartile measures the spread of values above and below the mean by dividing the distribution into four groups.
KEY TAKEAWAYS
The quartile measures the spread of values above and below the mean by dividing the distribution into four groups.
A quartile divides data into three points – a lower quartile, median, and upper quartile – to form four groups of the data set.
Quartiles are used to calculate the interquartile range, which is a measure of variability around the median.
How Quartiles Work
Just like the median divides the data into half so that 50% of the measurement lies below the median and 50% lies above it, the quartile breaks down the data into quarters so that 25% of the measurement are less than the lower quartile, 50% are less than the mean, and 75% are less than the upper quartile.
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