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Kiara has the following data:\newline6,5,4,3,y6, 5, 4, 3, y\newlineIf the median is 44, which number could yy be?\newlineChoices:\newline(A)(A)33\newline(B)(B)1515

Full solution

Q. Kiara has the following data:\newline6,5,4,3,y6, 5, 4, 3, y\newlineIf the median is 44, which number could yy be?\newlineChoices:\newline(A)(A)33\newline(B)(B)1515
  1. Understand median concept: Step 11: Understand the concept of median.\newlineThe median is the middle value in a list of numbers sorted in ascending order. Since there are 55 numbers, the median will be the third number when arranged in order.
  2. Sort numbers and identify positions: Step 22: Sort the given numbers excluding yy and identify the possible positions for yy.\newlineGiven numbers: 6,5,4,36, 5, 4, 3. Sorted: 3,4,5,63, 4, 5, 6.\newlineTo keep 44 as the median, yy must be placed in such a way that it does not alter the position of 44 as the third number.
  3. Analyze possible positions for y: Step 33: Analyze the positions where y can be placed.\newlineIf yy is less than 33, the order is y,3,4,5,6y, 3, 4, 5, 6.\newlineIf yy is between 33 and 44, the order is 3,y,4,5,63, y, 4, 5, 6.\newlineIf yy is between 44 and 55, the order is 3300.\newlineIf yy is greater than 3322, the order is 3333.
  4. Determine yy based on choices: Step 44: Determine the possible values for yy based on the choices given.\newlineChoices are (A) 33 and (B) 1515.\newlineIf y=3y = 3, the sorted list becomes 3,3,4,5,63, 3, 4, 5, 6 - 44 remains the median.\newlineIf y=15y = 15, the sorted list becomes 3,4,5,6,153, 4, 5, 6, 15 - 55 becomes the median, which is incorrect.

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