Question

Find the mode of 0,0,2,2,3,3,3,4,5,5,5,5,6,6,7,8.
(a) 8
(b) 0
(c) 2
(d) 5

Answer 1

Hint: To find the mode of the given data, we have to tabulate the data such that the given numbers are listed in column 1 and the number of times they appear (that is, the frequency) will be in column 2. The number that corresponds to the highest frequency will be the mode.

Complete step by step solution:
We have to find the mode of 0,0,2,2,3,3,3,4,5,5,5,5,6,6,7,8. Let us create a table with given numbers in one column and the number of times they appear (that is, the frequency) in the other column.

Number	Frequency
0	2
2	2
3	3
4	1
5	4
6	2
7	1
8	1

From the above table, we can see that the highest frequency is 4. This frequency corresponds to 5. Hence, the mode of the given data is 5.
Hence, the correct option is (d).

Note: Mode is the value occurring most frequently in a set of observations. It is also defined as the observation having the highest frequency in a set of data. Students can also find the mode of the given data in this problem by simply checking the number that appears more number of times and can consume time taken to create the table. In some data sets, there can be more than one observation that has the same frequency. We will call this set of data multimodal.