How the median changes when observations are added or altered

This type of question, asked 3 times: CDS 2 2016, CDS 2 2018, CDS 1 2024. All 3 questions below, oldest first.

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Question 1
CDS 2 2016
88 $20.5$
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Question 2
CDS 2 2018
57 $The median of 19 observations is 30. Two more observations are made and the values of these are 8 and 32. What is the median of the 21 observations ?$
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Question 3
CDS 1 2024
15 $Consider the following data : 110, 41, 43, 95, 127, 99, 61, 92, 71, 93, 110, 36. If 93 is replaced by 94, then consider the following statements : 1. The difference between new median and old median is 1. 2. The difference between new mean and old mean is less than 0.1. 3. The difference between new mode and old mode is zero. Which of the statements given above are correct ?$
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Question 1