9514 1404 393
Answer:
a) 16
b) any value. For example, 2, or 29.
Step-by-step explanation:
a) The sum of the 23 given values is 389. For the mean of 24 values to be 16.875, the total must be 405. Adding the value 16 to the list will make the total be 405
The value that makes the mean 16.875 is 16.
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b) The median of the given data is 17, it is the middle of 3 instances of 17 in the data set. If a lower number is added to the data set, the median will be the average of the first two 17s. If a higher number is added, the median will be the average of the last two 17s. In other words, there is no number that can be added that will change the median from 17.
Any value can be added without changing the median.