Question

Find the mean of all the factors of 20.

Answer 1

Hint: According to the question we have to find the mean of the factors of 20. So, first of all we have to find all the factors of 20.
Now, we have to add all the factors of 20 as obtained by finding the factors of 20.
Now, we have to find the total number of the factors obtained and to find the value of the mean of the factors of 20 we have to use the formula to find the mean which can be obtained by the division of Sum of all the factors by the total number of factors.

Complete step-by-step solution:
Step 1: First of all we have to obtain all the factors of 20 hence,
Factors of 20$ = 1,2,4,5,10,20$
Step 2: Now, we have to find the sum of all the factors obtained hence,
Sum of all the factors:
$ \Rightarrow 1 + 2 + 4 + 5 + 10 + 20 = 42$
Step 3: Now, we have to find the total number of terms which are the factors of 20 hence,
Total number of factors = 6
Step 4: Now, to find the mean of factors we have to use the formula as mentioned in the solution hint.
Mean $ = \dfrac{{42}}{6}$
On solving,
Mean $ = 7$

Hence, with the help of the formula as mentioned in the solution hint we have obtained the mean of the factors of 20 = 7

Note: Mean is one of the representative values of data and we can find the mean of observations by dividing the sum of all the observations by the total number of observations.
The mean is the average of the data set and the mode is the most common number in that data set mean can be obtained by dividing the sum of all the given data by the total number of data.