Question

If the values of first quartile and quartile deviation are 90 and 20 respectively, the value of third quartile is:

• A. 70
• B. 110
• C. 130
• D. 35

Hint:

Logic Tip: Quartile Deviation is half of the difference between third and first quartiles.

Answer 1

The Correct Option is C

Step 1:
Quartile Deviation is: \[ QD=\frac{Q_3-Q_1}{2} \]

Step 2:
Given: \[ Q_1 = 90 \] \[ QD = 20 \] Substituting values: \[ 20=\frac{Q_3-90}{2} \]

Step 3: Q_3
\[ 40 = Q_3 - 90 \] \[ Q_3 = 130 \]

Step 4:
Therefore, the value of third quartile is: \[ \boxed{130} \] Hence, the correct answer is: \[ \boxed{\text{(3) 130}} \]