TV_Watchers

TV_Watchers#

Students in an AP Statistics class were asked how many hours of television they watch per week (including online streaming). This sample yielded an average of 5.16 hours, with a standard deviation of 4.85 hours.

Part 1#

Is the distribution of number of hours students watch television weekly symmetric?

Answer Section#

  • No, I would expect the distribution to be right skewed as the number of hours spent on TV has a natural boundary at zero and very few people watch a tone of TV; also, the standard deviation is quite high in relation the mean which further suggests that the data is skewed.

  • Yes: the standard deviation being fairly close in size to the mean indicates that this is probably a symmetric distribution

  • No, there is not enough information to tell whether the distribution is right or left skewed, but the high standard deviation in comparison to the mean does indicate that the distribution is not likely symmetric

  • Yes: the natural boundaries at zero and 24, along with a relatively manageable standard deviation are strong indicators that this distribution is symmetric

Attribution#

Problem is from the OpenIntro Statistics textbook, licensed under the CC-BY 4.0 license.
Image representing the Creative Commons 4.0 BY license.