It looks like you've uploaded an image that likely contains a statistics problem. I will analyze the text in the image and walk you through a solution.

Based on the image, the problem seems to ask you to:

1. Use technology to find the mean and standard deviation of a dataset.
2. It provides a table with data points, representing the number of hours people spent watching TV in a week.

The data points from the table are: $32, 45, 39, 44, 57, 32, 60, 57, 60, 39, 74, 60, 60, 49, 39, 45, 57, 45, 45, 32, 45, 49, 60, 57$

You are also asked to find:

• Mean: The average value of the dataset.
• Standard deviation: A measure of how spread out the values in the dataset are.

I'll calculate both for you.

Mean

The mean is calculated as: $\text{Mean} = \frac{\sum \text{Data Points}}{\text{Number of Data Points}}$

Standard Deviation

The standard deviation (for a sample) is calculated as: $s = \sqrt{\frac{\sum (x_i - \bar{x})^2}{n-1}}$ Where $\bar{x}$ is the mean, $x_i$ are the individual data points, and $n$ is the number of data points.

I'll calculate these now.The mean number of hours spent watching TV per week, based on the dataset, is approximately 49.25 hours.

The sample standard deviation is approximately 10.95 hours, indicating how spread out the data points are around the mean.

Would you like more details or have any other questions about the calculation?

Here are some related questions you could explore:

1. How would the standard deviation change if the highest value were removed?
2. What does the variance of this dataset tell us, and how is it related to the standard deviation?
3. How can we calculate the range of this dataset?
4. If this dataset represented a larger population, how would the calculation change?
5. How would adding an outlier (like 100 hours) affect the mean and standard deviation?

Tip: Standard deviation is a useful measure to understand how tightly grouped your data is around the mean.