Observe the data and answer:
16, 15, 16, 16, 8, 15, 17
(a) Which data value can be put in the data so that the mode remains the same?
(b) At least how many and which value(s) must be put in to change the mode to 15?
(c) What is the least number of data values that must be put in to change the mode to 17? Name them.
(a) 8 or 17 or 16 (except 15)
(b) Two times 15
(c) Three times 17
(a) Adding any number other than 15 will keep mode 16.
(b) To change mode to 15, need two more 15s to make its frequency 4 (≥ frequency of 16).
(c) To change mode to 17, need three more 17s to make frequency = 4, higher than 16.