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Zachary has the following data:\newline16,18,20,v,1616, 18, 20, v, 16\newlineIf the median is 1818, which number could vv be?\newlineChoices:\newline(A)(A) 2020\newline(B)(B) 1414

Full solution

Q. Zachary has the following data:\newline16,18,20,v,1616, 18, 20, v, 16\newlineIf the median is 1818, which number could vv be?\newlineChoices:\newline(A)(A) 2020\newline(B)(B) 1414
  1. Arrange Data in Ascending Order: Arrange the data set in ascending order to find the median. Since there are 55 numbers, the median will be the third number when arranged in order.
  2. Identify Median Value: Since the median is given as 1818, the third number in this ordered list must be 1818. The list becomes 16,16,18,20,v16, 16, 18, 20, v.
  3. Determine Possible Values for vv: To maintain the median at 1818, vv must be a number greater than or equal to 2020.
  4. Check Given Choices: Check the choices given: (A)20(A) \, 20 (B)14(B) \, 14. Since vv must be greater than or equal to 2020, the only possible choice is 2020.

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