Question

The median class of the following table will be 

• A. 10–20
• B. 20–30
• C. 30–40
• D. 40–50

Hint:

The median class is identified by the cumulative frequency that first exceeds $\dfrac{N}{2}$.

Answer 1

The Correct Option is C

Step 1: Find total frequency.
\[ N = 2 + 8 + 12 + 18 + 10 = 50 \] Step 2: Find $\dfrac{N}{2} = 25$.
Step 3: Locate the median class.
Cumulative frequencies: \[ 0–10 \Rightarrow 2, \quad 10–20 \Rightarrow 10, \quad 20–30 \Rightarrow 22, \quad 30–40 \Rightarrow 40, \quad 40–50 \Rightarrow 50 \] The cumulative frequency just greater than 25 is 40, corresponding to class 30–40.
Step 4: Conclusion.
Hence, the median class is 30–40.