Question

Find the mode of the following data:

15, 14, 19, 20, 14, 15, 16, 15, 16, 18, 14, 19, 15, 17, 15

Answer 1

1. Identify the definition of mode

The mode is the value that appears most frequently in a dataset. To find it, we count how many times each number occurs.

2. Arrange the data

To make counting easier, we can arrange the numbers in ascending order:

14, 14, 14, 15, 15, 15, 15, 15, 16, 16, 17, 18, 19, 19, 20

3. Count the frequencies

Now, we count the number of times each unique value appears in the list:

14: 3 times 

15: 5 times 

16: 2 times 

17: 1 time 

18: 1 time 

19: 2 times

20: 1 times

4. Determine the mode

The number with the highest frequency is 15, as it appears 5 times.

The mode of the data 15, 14, 19, 20, 14, 15, 16, 15, 16, 18, 14, 19, 15, 17, 15 is 15.