quartiles

Hello students, in this session we are going to discuss the quartiles from Gujarat secondary education board. Quartiles are the partition values. They are the same like the mean and median, mean, median divides the whole series into some equal parts and partition values also divides the series into certain equal parts. Besides quartiles, there are also two methods, such as deciles and percentiles. But here we have to discuss the quartiles (for more information visit here).
The quartile definition: - quartiles separate the whole series into 4 equal parts. And the four equal parts are denoted by the 3 quartiles. Four equal parts means 25%, 25% 25%, 25% and the quartiles can be represented by Q,
Q1 = first quartile called the lower quartile and have first 25% of data.
Q2 = second quartile called the median and have 50% of data.
Q3 = first quartile called the upper quartile and have last 25% of data.
Note: - To define the quartiles we have to first arrange the data into ascending order
Let’s take an example.
We have data set 8, 7, 87, 34, 78, 5, 65, 67, 23, 9, 11
Solution: - First of all we have to sort this data 5, 7, 8, 9, 11, 23, 34, 65, 67, 78, 87
Q1 = 8
Q2 = 23
Q3 = 67
We can also follow the formulas to obtain Q1, Q2 and Q3,
Quartiles in individual series
Q1 = (n+1^th )/4 item
Q2 = (n+1^th) /2 item
Q3 =3 (n+1^th) /4 item
Quartiles in Discrete series
Q1 = size of (n+1^th )/4 item
Q2 = size of (n+1^th) /2 item
Q3 =size of 3 (n+1^th) /4 item
We can also calculate the Q1, Q2 and Q3 for the continuous series by applying their formulas

In upcoming posts we will discuss about dispersion and Learn factoring of Two Degree Polynomials. Visit our website for information on Binomial Probability Distribution