5 items = a mean of 98

6 items =mean of 102

possible anwers 25,24,117,122

please show how to do

If you have 5 items with a mean of 98, then the sum of all items is 5*98 = 490

If you have 6 items with a mean of 102, the total is 6*102 = 612

Other than that we know nothing. Now, if you meant to say that adding the 6th item raised the mean from 98 to 102, then the 6th item accounts for all the change: 122.