Fundamentals of Mathematical Statistics (BCA) 1st Sem Previous Year Solved Question Paper 2022

To find the coefficients of quartile (Q1 and Q3), you can use the information that the sum and difference of the upper and lower quartiles are 55 and 11, respectively. The coefficients of quartile are typically represented as a proportion of the interquartile range (IQR). Here's how you can calculate them:

Let Q1 be the lower quartile and Q3 be the upper quartile.

Sum of Upper and Lower Quartile:
Q1 + Q3 = 55

Difference of Upper and Lower Quartile:
Q3 - Q1 = 11

Now, you have a system of two linear equations with two unknowns (Q1 and Q3):

Q1 + Q3 = 55
Q3 - Q1 = 11
You can solve this system of equations to find the values of Q1 and Q3:

Add equation (3) and equation (4):

Q1 + Q3 + Q3 - Q1 = 55 + 11
2Q3 = 66

Now, divide both sides by 2 to solve for Q3:

Q3 = 66 / 2
Q3 = 33

Now that you have the value of Q3, you can find Q1 by subtracting the difference:

Q1 = Q3 - 11
Q1 = 33 - 11
Q1 = 22

So, Q1 (the lower quartile) is 22, and Q3 (the upper quartile) is 33. These are the coefficients of quartile.