Objectives

In this activity, you will describe the distribution of a statistic by observing its average value and variability between samples. Compare to the distribution of the variable in the population.

Assignment

You will be arranged into groups of 3 or 4. to answer the following questions. Write your answers on your group’s shared google sheet (link will be posted in your Slack classroom channel) and add your data to the dotplot on the class’s Jamboard.

Background

A standard deck of 52 playing cards consists of four copies each of the numbers 2 through 10, along with Jacks, Queens, Kings and Aces. In many games, it is important to track the point value of a hand of cards. Face cards (Jacks, Queens, and Kings) are usually treated as 10 points, while Aces are treated as 1 point. Number cards (2 - 10) are treated as the number shown.

Below is a distribution of the point values for standard deck of cards:

value <- rep(1:10, each = 4)
value <- c(value, rep( c(10,10,10), each = 4))
deck <- data.frame(value)
ggplot(deck, aes(x = value))+geom_histogram(breaks = 0:10+.5, color = "white")+
  scale_x_continuous(breaks = 0:10)

Activity

  1. Go to this random card shuffler
  2. Draw 10 cards from the decks of playing cards to form a sample.
  3. Compute the mean of your cards (counting Aces as 1 and Face Cards as 10).
  4. Use a dot to your record your sample mean on the jamboard (link in the Slack channel)
  5. Repeat steps 1-3 at least twice more.

Discussion

As a group, answer the following questions: