Question

What is the mean and mode of first $ 10 $ composite numbers?

Answer 1

Hint: First of all we will find the first ten composite numbers. Composite numbers are the numbers which have more than two factors and then will find the mean and mode of the terms. Mean is also known as the average of the terms while mode is the frequency of the numbers repeated.

Complete step-by-step answer:
Composite numbers are the numbers which are expressed as the whole numbers that have more than two factors. All even numbers except the number $ 2 $ are composite numbers.
Here, first $ 10 $ composite numbers are: $ 4,6,8,9,10,12,14,15,16,18 $
Mean is the ratio of the sum of observations upon the number of observations.
Mean $ = \dfrac{{4 + 6 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18}}{{10}} $
Simplify the above expression finding the sum of the terms -
Mean $ = \dfrac{{112}}{{10}} $
The above division can be done simply by shifting the decimal point from the right hand side towards the left hand side of the number.
Mean $ = 11.2 $ ….. (A)
Here, we do not have any mode since all the numbers are present only once and there is no repetition.

Note: Always remember the difference between mean, median and mode. Mean is defined as the sum of all the numbers upon the total number of the numbers and it is affected by the extreme values of the sequences or the observations in the range while in the median extreme values do not affect the extreme values since it is the middle most value of the observation while mode is the value or number repeated in the given data.