# Quartiles, Deciles, & Percentiles With Cumulative Relative Frequency - Data & Statistics | Summary and Q&A

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January 17, 2019
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The Organic Chemistry Tutor
Quartiles, Deciles, & Percentiles With Cumulative Relative Frequency - Data & Statistics

## TL;DR

Quartiles, deciles, and percentiles divide data into equal parts, with quartiles dividing into four parts, deciles into ten parts, and percentiles into 100 parts.

## Key Insights

• 🥳 Quartiles divide data into four equal parts (Q1, Q2, Q3 representing 25th, 50th, and 75th percentiles).
• 🥳 Deciles divide data into ten equal parts (D1-D10 representing 10th, 20th, 30th, ..., 90th percentiles).
• 🥳 Percentiles divide data into 100 equal parts, indicating the relative position of a data point within the data set.
• 📌 The formula K/(100*n+1) can be used to find the location of a percentile value.
• 🚰 Cumulative relative frequency tables can be created to calculate percentile values.

## Transcript

in this video we're going to talk about quartiles deciles and percentiles so what are they exactly quartiles divides the data into four equal parts what I like to think about is quarters four quarters adds up to one dollar now let's draw a number line and we're going to go from zero to a hundred but let's divide the number line into four equal part... Read More

### Q: What do quartiles represent?

Quartiles represent the values that divide data into four equal parts, with Q1, Q2, and Q3 indicating the 25th, 50th, and 75th percentiles respectively.

### Q: How are deciles different from quartiles and percentiles?

Deciles divide data into ten equal parts, representing the 10th, 20th, 30th, ..., 90th percentiles. They are different from quartiles and percentiles in the number of divisions.

### Q: What does it mean if a data point falls in the 70th percentile?

A data point in the 70th percentile means that 70% of the data is less than or equal to that data point, while 30% is greater than or equal to it.

### Q: How can quartiles, deciles, and percentiles be calculated using a list of numbers?

Quartiles can be found by identifying the median of the entire data set (Q2), the median of the lower half (Q1), and the median of the upper half (Q3). The same process applies to deciles and percentiles.

## Summary & Key Takeaways

• Quartiles divide data into four equal parts, with Q1, Q2, and Q3 representing the 25th, 50th, and 75th percentiles respectively.

• Deciles divide data into ten equal parts, with D1-D10 representing the 10th, 20th, 30th, ..., 90th percentiles respectively.

• Percentiles divide data into 100 equal parts, with the nth percentile indicating how many values are less than or equal to a certain value.