Question

Find the mode of 15, 25, 35, 45, 55, 65.

Answer 1

Hint: To solve this question, we will first understand the basic concept of mode and method of finding the mode for raw data. After that, we will calculate the mode for the given data in question which is 15, 25, 35, 45, 55, 65.

Complete step-by-step solution:
Before we solve the question, let us see what is the mode and how do we calculate the mode for raw data.
The mode is the statistical term and is the value that is most likely to be sampled. In other words, we can say that the mode is the value that appears most often in a set of data values.
For example: let us have raw data 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 7, 7, 8, 8, 8.
Now, frequency of 2 = 6, frequency of 3 = 1, frequency of 4 = 4, frequency of 5 = 7, frequency of 7 = 2, frequency of 8 = 3.
As we can see that the highest occurring number in data is 5 as its frequency is highest. So, the mode of data is 5.
Now, in question, it is given that data is 15, 25, 35, 45, 55, 65.
As we can say that the occurrence of each number or frequency of each number is the same and is equal to 1. Hence, the mode for this data does not exist as the mode for any data is unique.

Note: Always remember that, for raw data, the number with the highest frequency is the mode of raw data. The frequency of numbers denotes the occurrence of numbers in data. Sometimes data is so large and messed up, so before counting first arrange data in ascending order and then find the frequency for each number to avoid mistakes.