The marks out of 50 obtained by 100 students in a test are given below as:

Find the value of the (3 mode - 2 median).

30

The correct answer is Option (3) → 30

Let’s solve step by step.

Step 1: Organize the data

• Total students = 100

Step 2: Find the Median

• Median position = $\frac{N}{2} = \frac{100}{2} = 50^\text{th}$ value

The 50th value falls in the class 28–29 (cumulative frequency just reaching 50 at 28).

• Median ≈ 28.5 (since 28 and 29 are close and majority of students around this group)

Step 3: Find the Mode

• Mode = the value with the highest frequency
• Highest frequency = 28 → Marks = 29

So, Mode = 29

Step 4: Calculate (3 × Mode − 2 × Median)

$3 \times 29 - 2 \times 28.5 = 87 - 57 = 30$