Relax! A recent survey asked 1680 people how many hours per day they were able to relax. The results are presented in the following table. Number of Hours Frequency 0 128 1 199 2 331 3 264 4 315 5 216 6 158 (e) Compute the standard deviation $\sigma_x$. Round the answer to at least three decimal places. $\sigma_x = $
Added by Clara E.
Close
Step 1
To calculate the mean, we need to multiply each number of hours by its frequency, sum up these values, and then divide by the total number of people surveyed (1680). Mean = (0*128 + 1*199 + 2*331 + 3*264 + 4*315 + 5*216 + 6*158) / 1680 Mean = (0 + 199 + 662 + 792 Show more…
Show all steps
Your feedback will help us improve your experience
Kari Hasz and 84 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
47. Relax! The General Social Survey asked 1676 people how many hours per day they were able to relax. The results are presented in the following table. Number of Hours Frequency 114 186 336 251 316 231 149 33 60 Total 1676 Consider these 1676 people to be a population. Let X be the number of hours of relaxation for a person sampled at random from this population. a. Construct the probability distribution of X. b. Find the probability that a person relaxes more than 4 hours per day. c. Find the probability that a person doesn't relax at all. d. Compute the mean mu_x. e. Compute the standard deviation sigma_x.
Kari H.
See attached.
Steven C.
The following table gives the frequency distribution of the number of hours spent per week on activities that involve sports and/or exercise by a sample of 400 Americans. The numbers are consistent with the summary results from the Bureau of Labor Statistics' American Time Use Survey (www.bls.gov). Hours per Week Number of People 0 to less than 3.5 36 3.5 to less than 7.0 90 7.0 to less than 10.5 55 10.5 to less than 14.0 83 14.0 to less than 28.0 119 28.0 to less than 56.0 17 Find the mean, variance, and standard deviation. Carry out all calculations exactly, round to 2 decimal places the final answers where it is necessary. Mean = hours Variance = hours² Standard deviation = hours
Joanna Q.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD