Which of the following statements is/are true for finding a median? I. Always search for...

MATHEMATICSSAT 2021

Which of the following statements is/are true for finding a median? I. Always search for the middle number II. Always arrange in increasing or decreasing order before searching for the middle number III. Once arranged, if the set has an even number, just take the two middle numbers and subtract them and divide by two IV. Once arranged, if the set has an even number, just take the two middle numbers and add them and divide by two

  • A. II, III
  • B. I only
  • C. II, IV
  • D. I, II, IV

Correct Answer: C. II, IV

Explanation

Let's look at each statement. I. Always search for the middle number This is false, because what happens if the number set is jumbled. To find median, it's important to oragnize in increasing or decreasing order. II. Always arrange in increasing or decreasing order before searching for the middle number As explained in statement one explanation, this is true. III. Once arranged, if the set has an even number, just take the two middle numbers and subtract them and divide by two This s false, because once there is an even number set, you need to ADD the middle numbers and divide it by two. Essentially, the new value represents the middle of the set. IV. Once arranged, if the set has an even number, just take the two middle numbers and add them and divide by two This is true based on statement three explanation.

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