Questions: Consider the following two sets of incomes. Each income is in thousands of dollars per year. Answer parts (a) - (c) Group 1: 32,36,38,40,41,42,44 ; 46,47,51 Group 2: 32,36,38,40,41,42,44,46,47,150 a. Find the average or mean salary for each group. The mean salary for Group 1 is per year. (Type an integer or a decimal.)

Consider the following two sets of incomes. Each income is in thousands of dollars per year. Answer parts (a) - (c)
Group 1: 32,36,38,40,41,42,44 ; 46,47,51
Group 2: 32,36,38,40,41,42,44,46,47,150
a. Find the average or mean salary for each group.

The mean salary for Group 1 is per year.
(Type an integer or a decimal.)

Transcript text: Consider the following two sets of incomes. Each income is in thousands of dollars per year. Answer parts (a) - (c) Group 1: $32,36,38,40,41,42,44 ; 46,47,51$ Group 2: $32,36,38,40,41,42,44,46,47,150$ a. Find the average or mean salary for each group. The mean salary for Group 1 is $\$$ $\square$ per year. (Type an integer or a decimal.)

Solution

Solution Steps

To find the average or mean salary for each group, we need to sum all the incomes in each group and then divide by the number of incomes in that group. This will give us the mean salary for each group.

Step 1: Calculate the Mean Salary for Group 1

To find the mean salary for Group 1, sum all the incomes and divide by the number of incomes. The incomes for Group 1 are: $32, 36, 38, 40, 41, 42, 44, 46, 47, 51$.

\[ \text{Mean for Group 1} = \frac{32 + 36 + 38 + 40 + 41 + 42 + 44 + 46 + 47 + 51}{10} = \frac{417}{10} = 41.7 \]

Step 2: Calculate the Mean Salary for Group 2

Similarly, for Group 2, sum all the incomes and divide by the number of incomes. The incomes for Group 2 are: $32, 36, 38, 40, 41, 42, 44, 46, 47, 150$.

\[ \text{Mean for Group 2} = \frac{32 + 36 + 38 + 40 + 41 + 42 + 44 + 46 + 47 + 150}{10} = \frac{516}{10} = 51.6 \]