First find the median of 46, 64, 87, 41, 58, 77, 35, 90, 55, 92 and 33, If 92 is replaced with 99 and 41 is replaced with 43 in the data, then find the new median. What is the difference between the old median and the new median?
Given:
Data set: 46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33.
Replacements: 92→99, 41→43
Formula Used:
Median = Middle value of sorted data.
Solution:
Original data: 33, 35, 41, 46, 55, 58, 64, 77, 87, 90, 92.
Median = 58
After replacement 92 with 99 and 41 with 43
Updated data : 33, 35, 43, 46, 55, 58, 64, 77, 87, 90, 99.
Median = 58.
Difference = 58 - 58 = 0
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