Q. Kiara has the following data:6,5,4,3,yIf the median is 4, which number could y be?Choices:(A)3(B)15
Understand median concept: Step 1: Understand the concept of median.The median is the middle value in a list of numbers sorted in ascending order. Since there are 5 numbers, the median will be the third number when arranged in order.
Sort numbers and identify positions: Step 2: Sort the given numbers excluding y and identify the possible positions for y.Given numbers: 6,5,4,3. Sorted: 3,4,5,6.To keep 4 as the median, y must be placed in such a way that it does not alter the position of 4 as the third number.
Analyze possible positions for y: Step 3: Analyze the positions where y can be placed.If y is less than 3, the order is y,3,4,5,6.If y is between 3 and 4, the order is 3,y,4,5,6.If y is between 4 and 5, the order is 30.If y is greater than 32, the order is 33.
Determine y based on choices: Step 4: Determine the possible values for y based on the choices given.Choices are (A) 3 and (B) 15.If y=3, the sorted list becomes 3,3,4,5,6 - 4 remains the median.If y=15, the sorted list becomes 3,4,5,6,15 - 5 becomes the median, which is incorrect.
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