How are the median and upper and lower
quartiles the same? How are they
different?
I gave you this URL the other day. It relates directly to your question.
https://www.jiskha.com/display.cgi?id=1170979664
http://embed.wistia.com/deliveries/e5645642ab37a311e96464bbb29f542642818bd5.jpg
Do you see the relationships??
Can you help me with another question?
No, sorry. I’m not a math tutor. I just had to deal with quartiles in test score results during years and years of teaching.
The median, upper quartile, and lower quartile are all measures used to describe the distribution of a set of data. While they have similarities, they also have distinct differences. Let's explore how they are the same and how they differ.
Similarities:
1. Position in the data: Both the median and quartiles divide the data into specific positions or percentiles.
2. Capturing central tendency: The median and quartiles provide information about the center or typical value of a dataset.
Differences:
1. Calculation method: The median is calculated by finding the middle value in a data set when arranged in ascending or descending order. If the data set has an even number of values, the median is the average of the two middle values. On the other hand, quartiles divide the data into four equal parts, with the lower quartile being the value below which 25% of the data falls, the median being the value below which 50% falls, and the upper quartile being the value below which 75% falls.
2. Spread of the data: The quartiles provide information about the spread or dispersion of the data, whereas the median focuses solely on the central tendency. The spread can be useful to understand the variability or range of values in a dataset.
In summary, the median and quartiles share the aim of describing the central tendency of a data set, but they differ in terms of their calculation method and the additional information they provide about the spread of the data.