Question

Find the range and mode of the following data.
2 , 3, 14, 5, 9, 9, 8, 8, 8, 14, 18, 2, 12, 3, 14, 16, 14, 18, 15 and 2.

• A. range = 15 & mode = 9
• B. range = 12 & mode = 14
• C. range = 13 & mode = 8
• D. range = 16& mode = 14

Answer 1

The correct option is D range = 16& mode = 14

We know that,
Range = highest value - lowest value
Mode of a given set of observations is that value which occurs most frequently.

Now,
Range = 18 - 2
Range = 16

Mode is the most frequent value, so mode is 14 of the given data.

Thus, range is 16 and mode is 14.