Question

Observe the data and answer the questions that follow:16, 15, 16, 16, 8,15,17(a) Which data value can be put in the data so thatthe 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

Answer 1

Answer:

(a) You can put any number except 15 the mode won't change

(b)you need to put 15 two times in the data so that new mode woulr be 15

(C)You need to put 17 three times in the data so that mode would be 17

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Answer 2

Answer:

Arranging the given data in ascending order, we get

8,15,15,16,16,16,17

(a) The observation 16 occurs most frequently 3 times in the data

∴ Mode =16

If we place 15 in the data, the mode will change as 15 already occurs two times.

Hence, 16,8 or 17 can be put in the data so that the mode will remain the same.

(b) The mode will be 15 if it occurs 4 times at least.

Hence, two more 15 should be put in the data to make the mode 15.

(c) 17 comes only once in the data and to be the mode it should occur at least 4 times.

Therefore, 17 should be put in the data at least 3 times to change the mode to 17.