Hint: We explain the process of finding mode by looking at the frequency number of individual discrete numbers. We organize the given numbers to find the mode of the series of 6, 7, 8, 9, 10, 6, 7, 10, 7, 6, 7, 9, 7, 6.
Complete step-by-step solution:
The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all.
Therefore, to find the mode for a given discrete value, we need to find the digit which has been used the greatest number of times i.e., the greatest number of frequencies.
If there are more than one such number then we need to find the greatest number of those numbers as a mode.
Therefore, for the given numbers 6, 7, 8, 9, 10, 6, 7, 10, 7, 6, 7, 9, 7, 6, we can see that the numbers 6 have been used 4 times, numbers 7 have been used 5 times, numbers 9, 10 have been used 2 times for each, numbers 8 have been used 1 time.
So, the number with the most frequency is 7.
Therefore, the mode of the given observations is 7.
Note: The mode can be the same value as the mean and/or median, but this is usually not the case. The mode is not affected by extreme values. The mode can be computed in an open-ended frequency table.