Quartile calculator
- how to find quartiles in statistics
- how to find quartiles in statistics for grouped data
- how to calculate quartiles in statistics
- how to get quartiles in statistics
Quartile formula for even data
Quartile formula for grouped data!
Quartiles
Quartiles are the values that divide a list of numbers into quarters:
- Put the list of numbers in order
- Then cut the list into four equal parts
- The Quartiles are at the "cuts"
Like this:
Example: 5, 7, 4, 4, 6, 2, 8
Put them in order: 2, 4, 4, 5, 6, 7, 8
Cut the list into quarters:
And the result is:
- Quartile 1 (Q1) = 4
- Quartile 2 (Q2), which is also the Median, = 5
- Quartile 3 (Q3) = 7
Sometimes a "cut" is between two numbers ...
the Quartile is the average of the two numbers.
Example: 1, 3, 3, 4, 5, 6, 6, 7, 8, 8
The numbers are already in order
Cut the list into quarters:
In this case Quartile 2 is half way between 5 and 6:
Q2 = (5+6)/2 = 5.5
And the result is:
- Quartile 1 (Q1) = 3
- Quartile 2 (Q2) = 5.5
- Quartile 3 (Q3) = 7
Interquartile Range
The "Interquartile Range" is from Q1 to Q3:
To calculate it: subtract Quartile 1 from Quartile 3, like this:
Example:
The Interquartile Range is:
Q3 − Q1 = 7 − 4 = 3
Box and Whisker Plot
We can show all the important v
- how to find quartile 1 in statistics
- how to find lower quartile in statistics