Let the mean of the variable 'x' be 50, then the mean of u=10+5x will be.

Option b: 260. Solution: Step 1: Apply linearity of mean. If u = 10 + 5x, then: u-bar = 10 + 5x-bar Step 2: Substitute x-bar = 50. u-bar = 10 + 5 x 50 = 10 + 250 = 260 Note: The computed answer is 260 (Option B), not 273 (Option D). The correct answer is 260. Hence, Option B is the correct answer.

Let the mean of the variable '$x$' be 50, then the mean of $u=10+5x$ will be.

The correct answer is Option b: 260. **Step 1: Apply linearity of mean.** If $u = 10 + 5x$, then: $$\bar{u} = 10 + 5\bar{x}$$ **Step 2: Substitute $\bar{x} = 50$.** $$\bar{u} = 10 + 5 \times 50 = 10 + 250 = 260$$ **Note:** The computed answer is **260** (Option B), not 273 (Option D). The correct answer is 260. Hence, **Option B** is the correct answer.

Central Tendency & DispersionMTP Mar 21Question 2892 of 473

All Questions

Let the mean of the variable ' $\displaystyle x$ ' be 50, then the mean of $\displaystyle u=10+5x$ will be.

Options

A250

B260

C265

D273

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Correct Answer

✅ Option b — 260

All Options:

A250
B260
C265
D273

Detailed Solution & Explanation

**Step 1: Apply linearity of mean.** If

\displaystyle u = 10 + 5x

, then:

\bar{u} = 10 + 5\bar{x}

**Step 2: Substitute

\displaystyle \bar{x} = 50

.**

\bar{u} = 10 + 5 \times 50 = 10 + 250 = 260

**Note:** The computed answer is **260** (Option B), not 273 (Option D). The correct answer is 260. Hence, **Option B** is the correct answer.

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Let the mean of the variable 'x\displaystyle xx' be 50, then the mean of u=10+5x\displaystyle u=10+5xu=10+5x will be.