To find the arithmetic mean of the given incomes of eight workers, follow these steps:
1. List the Incomes: Write down all the incomes provided.
[tex]\[
30, 36, 34, 40, 42, 46, 54, 62
\][/tex]
2. Count the Number of Incomes: Determine how many workers' incomes we have.
[tex]\[
\text{Number of incomes} = 8
\][/tex]
3. Sum the Incomes: Add all the incomes together.
[tex]\[
30 + 36 + 34 + 40 + 42 + 46 + 54 + 62 = 344
\][/tex]
4. Divide the Total Sum by the Number of Incomes: To find the arithmetic mean, divide the total sum of the incomes by the number of incomes.
[tex]\[
\text{Arithmetic Mean} = \frac{\text{Total Sum of Incomes}}{\text{Number of Incomes}} = \frac{344}{8} = 43.0
\][/tex]
Therefore, the arithmetic mean of the incomes of the eight workers is:
[tex]\[
43.0
\][/tex]
