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 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.

Answer 1

The data is 16, 15, 16, 16, 8, 15, 17 (a) Since, 16 occurs most frequently in the data i.e., 3 times.

∴ Mode = 16

15 occurs two times, therefore if 15 will be put in the data, mode would be changed.

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

(b) 15 occurs two times, therefore mode will be 15 if 15 occurs atleast 4 times.

∴ Atleast two times 15 must be put into the data to change the mode to 15.

(c) 17 occurs only once in the data.

∴ Atleast 3 times 17 must be put in to the data to change the mode to 17.