Find the mean and variance of a deck of 52 cards, where an ace is counted as 11, a picture card as 10, and all other cards have the value shown on the card. Construct a frequency distribution and histogram of the card values. The accompanying samples are samples of 20 cards from a shuffled deck (starting with a full deck each time). Compute the mean and variance and construct a histogram for each sample. How does the sample data differ from the population data? Repeat this experiment for two samples of S cards and summarize your conclusions. Click the icon to view the samples of cards from the deck. The mean card value for the entire deck is (Round to two decimal places as needed.) Card Samples Sample 1 Sample 2 Sample 3 Sample 4 Queen of Spades Ace of Spades Four of Clubs Nine of Diamonds Ace of Spades Queen of Diamonds Three of Diamonds Four of Clubs Three of Clubs Nine of Hearts Four of Spades Seven of Spades King of Spades Six of Diamonds Two of Diamonds Three of Hearts Two of Clubs Four of Diamonds Two of Spades Queen of Spades Five of Diamonds Jack of Clubs Seven of Hearts Seven of Hearts Eight of Hearts Three of Diamonds King of Spades Ace of Diamonds Eight of Clubs Eight of Diamonds Two of Spades Eight of Clubs Queen of Diamonds Four of Spades Three of Spades Ten of Hearts Four of Clubs Ten of Clubs Four of Hearts Five of Clubs Five of Spades King of Hearts King of Clubs Seven of Diamonds