Central Tendency & DispersionMTP Mar 21, MTP Apr 21Question 2896 of 473
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The mean of the variable x\displaystyle x is 50, then the mean of u=10+5x\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 the linearity property of arithmetic mean.** Given: u=10+5x\displaystyle u = 10 + 5x and xˉ=50\displaystyle \bar{x} = 50. uˉ=10+5xˉ=10+5×50=10+250=260\bar{u} = 10 + 5\bar{x} = 10 + 5 \times 50 = 10 + 250 = 260 **Note:** The correct value is **260** (Option B). The `correct_option` D (273) is incorrect. The correct answer by first principles is 260. Hence, **Option B** is the correct answer.

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