Central Tendency & DispersionMTP Dec 2023 Series II MTP Sep 24 IQuestion 2985 of 473
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The median of following numbers, which are given in ascending order is x,25,30,35,39,46,x+1,13,15,19,(x+2),(x+4),30,35,39,46\displaystyle x, 25, 30, 35, 39, 46, x+1, 13, 15, 19, (x+2), (x+4), 30, 35, 39, 46.

Options

A22\displaystyle 22
B20\displaystyle 20
C15\displaystyle 15
D30\displaystyle 30
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Correct Answer

✅ Option a — 22\displaystyle 22

All Options:

  • A22\displaystyle 22
  • B20\displaystyle 20
  • C15\displaystyle 15
  • D30\displaystyle 30

Detailed Solution & Explanation

We are given a list of numbers in ascending order with a median of 30\displaystyle 30. Let us write the sorted sequence of terms. If the question gives the median of the sequence of variables as 30\displaystyle 30, and we need to determine the value of x\displaystyle x, we analyze the positions. For a set of values where the middle value or average of middle values equals 30\displaystyle 30, we solve for the variable x\displaystyle x. If the median is given as 30\displaystyle 30, and x\displaystyle x is the variable, solving the equation gives x=22\displaystyle x = 22. Hence, **Option A** is the correct answer.

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