What is the third quartile?

The upper quartile, or third quartile (Q3), is the value under which 75% of data points are found when arranged in increasing order. The median is considered the second quartile (Q2). The interquartile range is the difference between upper and lower quartiles.

How do you find the third quartile?

The third Quartile of the 75th Percentile (Q3) is given as: Third Quartile(Q3)=(3(n+1)/4)^th Term also known as the upper quartile. The interquartile range is calculated as: Upper Quartile – Lower Quartile.

What is third quartile example?

An Example



In other words, the median is: (7 + 8)/2 = 7.5. Here the median is (15 + 15)/2 = 15. Thus the third quartile Q₃ = 15.

How do you find 1st 2nd and 3rd quartiles?

Quote from video on Youtube:When we substitute 11 for n we get 6. And if we look at the sixth data observation we find that it equals 5 therefore q2 equals 5 to find the third quartile.

What represents the 3rd quartile?

The third quartile (Q₃) is the middle value between the median and the highest value (maximum) of the data set. It is known as the upper or 75th empirical quartile, as 75% of the data lies below this point.

How do you find quartiles?

How to Calculate Quartiles

1. Order your data set from lowest to highest values.
2. Find the median. This is the second quartile Q₂.
3. At Q₂ split the ordered data set into two halves.
4. The lower quartile Q₁ is the median of the lower half of the data.
5. The upper quartile Q₃ is the median of the upper half of the data.

What is the formula for Q1 and Q3?

Quote from video on Youtube:I'd like to go over how to calculate your q1 your q3 and your IQR the interquartile. Range so let me quickly go through the steps. And then I'll work an example step one is order the numbers from

How do you calculate Quantiles?

If we have an even number of points, we choose a value midway between the two central values. For the median, for example, the 0.5 quantile, i = q ( n +1) = 0.5 times (57+1) = 29, the 29th observation as before. 4.50 + (4.56 – 4.50) times (43.5 – 43) = 4.53.