Question

Find the mode of the following data in each case:
\[7,\text{ 9},\text{ 12},\text{ 13},\text{ 7},\text{ 12, 15, 7, 12, 7, 25, 18, 7}\].

Answer 1

Hint: Mode is determined by calculating number of times each number comes in the data.
Mode is also known as the middle term of the data.

Complete step by step answer:
Mode is equal to the number/value that comes the highest number of times in the data. The discrete data given has \[\text{13}\] observations.
Other measures of finding the average of the middle value of data are median and mean.
Median is calculated by arranging the discrete data in discrete order and then applying the formula of finding the mean of even number of observations. For even numbers of observations, the median is calculated as the average of third and fourth observations.
Mean is calculated by dividing the sum of observations by the number of observations.
Mode is a measure of analysis as it helps in finding the average value in data.
The observations are arranged in ascending order to determine the value of mean. Ascending order indicates arranging numbers from smallest to largest. The numbers are arranged as:
$7,7,7,7,7,9,12,12,12,13,15,18,25$
Mode = Highest number of times a value appears in above given discrete data.
As number $7$ appears the highest number of times that is $5$, value $7$ is the mode of given discrete data.

Note: Mode is used for further complex analysis and interpretations too and to arrive at final results.
Mode is the simplest measure of analysis as it is easy to calculate, interpret and understand.