Answered

Join the IDNLearn.com community and get your questions answered by experts. Ask any question and get a thorough, accurate answer from our community of experienced professionals.

The following are the annual incomes (in thousands of dollars) for 8 randomly chosen U.S. adults employed full-time:
[tex]\[ 53, 35, 82, 94, 93, 63, 44, 74 \][/tex]

(a) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place.

Sagot :

GinnyAnsweridn
Certainly! Let's calculate the mean of the given data set step by step. The data set provided is:

[tex]\[ 53, 35, 82, 94, 93, 63, 44, 74 \][/tex]

### Step 1: Sum Up All the Data Points
First, we need to calculate the sum of all the incomes. Let's add them together:

[tex]\[ 53 + 35 + 82 + 94 + 93 + 63 + 44 + 74 \][/tex]

### Step 2: Count the Number of Data Points
Next, count how many data points there are in the data set.

There are 8 incomes in the list.

### Step 3: Calculate the Mean
To find the mean (average), we divide the sum of the data points by the number of data points.

[tex]\[ \text{Mean} = \frac{\text{Sum of all data points}}{\text{Number of data points}} \][/tex]

### Step 4: Calculate and Round the Mean
Perform the division and round the result to one decimal place:

[tex]\[ \text{Mean} = \frac{538}{8} = 67.25 \][/tex]

Rounded to one decimal place, the mean is [tex]\( 67.2 \)[/tex].

So, the mean annual income for the given data set is:

[tex]\[ \boxed{67.2 \text{ thousands of dollars}} \][/tex]
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. IDNLearn.com is committed to your satisfaction. Thank you for visiting, and see you next time for more helpful answers.