Q. Patrick has the following data:13,15,5,m,15If the median is 13, which number could m be?Choices:(A)15(B)3
Understand the problem: Step 1: Understand the problem and the data given.We have the numbers: 13, 15, 5, m, 15 and we know the median is 13. The median is the middle value when all numbers are arranged in order.
Arrange numbers: Step 2: Arrange the numbers in ascending order without m to see where 13 fits.Ordering the known numbers: 5,13,15,15. Since 13 is the median, it must be in the middle.
Determine possible positions: Step 3: Determine possible positions for m. If m is added, it should not change the position of 13 as the median. Possible positions for m are before the first 13 or after the last 15.
Check each choice: Step 4: Check each choice for m to see if 13 remains the median.Choice (A) 15: Adding 15 would make the sequence 5,13,15,15,15. Median is still 13.Choice (B) 3: Adding 3 would make the sequence 3,5,13,15,15. Median is still 13.
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