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Sample 1 King of Spades King of Hearts Seven of Spades Four of Diamonds King of Spades Three of Clubs Nine of Diamonds Five of Clubs King of Hearts Four of Spades Five of Spades Ace of Diamonds Two of Clubs Ten of Spades Six of Clubs King of Spades Eight of Spades Seven of Hearts Three of Hearts Two of Hearts Sample 2 Jack of Spades Nine of Diamonds Three of Hearts Four of Hearts Seven of Hearts Ten of Diamonds Five of Clubs Queen of Diamonds Ace of Spades Six of Hearts Three of Spades Nine of Spades Two of Spades Ace of Diamonds Jack of Clubs Eight of Hearts Jack of Spades King of Hearts Five of Diamonds Six of Clubs Sample 3 Three of Clubs Two of Hearts Four of Hearts Three of Hearts Four of Spades Sample 4 Eight of Clubs Jack of Hearts Seven of Diamonds Four of Diamonds Two of Spades 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 shufed 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? iat this experiment for two samples of 5 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.) The variance of the card values for the entire deck is (Round to two decimal places as needed.) Construct a frequency distribution of the card values, Card Value Frequency mmummbwng o 11 (Type whole numbers.) Construct a histogram of the card values. Choose the correct graph below. O A. O B. 20- 5- Frequency Frequency 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 IIIII 8 9 10 11 Value Value O C. O D. 16- Frequency Frequency 2 3 4 5 6 39 10 11 2 3 4 5 6 7 8 9 10 11 Value Value Compute the mean and variance for the first sample of 20 cards. The mean card value is (Round to two decimal places as needed.) The variance of the card values is. (Round to two decimal places as needed.)Construct a histogram for the first sample of 20 cards. Choose the correct graph below. O A. O B. 16- Frequency 12- Frequency 2 3 4 5 6 7 9 10 11 1 2 3 4 5 6 8 9 10 11 Value Value O C. O D. Frequency Frequency 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 8 10 11 Value Value Compute the mean and variance for the second sample of 20 cards. The mean card value is (Round to two decimal places as needed.) The variance of the card values is (Round to two decimal places as needed.)Construct a histogram for the second sample of 20 cards. Choose the correct graph below. O A. O B. Frequency Frequency 2 3 4 6 3 9 10 11 2 3 4 6 8 9 10 11 Value Value O C. OD. Frequency Frequency 3 6 8 9 10 11 2 3 4 6 8 9 10 11 Value Value How does the sample data differ from the population data for samples of size 20? For the first sample of size 20, similar to the corresponding population parameter. The histogram of this sample V similar to the histogram for the population. For the second sample of size 20, similar to the corresponding population parameter. The histogram of this sample similar to the histogram for the population. Compute the mean and variance for the first sample of 5 cards.How does the sample data differ from the population data for samples of size 20? For the rst sample of size 20, V similar to the corresponding population parameter. The histogram of this sample is For the second sample of size 20, V similar to the corresponding population parameter. The histogram of this sample Compute the mean and variance fc The mean card value is . (Round to two decimal places as n: Click to select your answer(s). the sample variance is but the sample mean is not the sample mean is but the sample variance is not both the sample mean and variance are neither the sample mean nor the sample variance are 7 is not similar to the histogram for the population. similar to the histogram for the population. Compute the mean and variance for the first sample of 5 cards. The mean card value is (Round to two decimal places as needed.) The variance of the card values is. (Round to two decimal places as needed.) Construct a histogram for the first sample of 5 cards. Choose the correct graph below. O A. O B. 3- 2- Frequency 2- Frequency 1- 2 3 4 5 6 7 8 9 10 11 2 3 4 5 7 8 9 10 11 Value Value O C. OD. 2- 3- Frequency Frequency 2- 2 3 4 5 6 8 9 10 11 O- 2 3 4 5 6 7 8 9 10 11 Value ValueCompute the mean and variance for the second sample of 5 cards. The mean card value is. (Round to two decimal places as needed.) The variance of the card values is. (Round to two decimal places as needed.) Construct a histogram for the second sample of 5 cards. Choose the correct graph below. O A. O B. 27 Frequency 1 - Frequency 2 - 2 3 4 5 6 7 8 9 10 11 1 3 4 5 6 9 10 11 Value Value O C. O D. 2- 3- Frequency Frequency 2 - 0- 2 3 45 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 Value ValueHow does the sample data differ from the population data for samples of size 5? For the rst sample of size 5, i: similar to the corresponding population parameter. The histogram of this sample is For the second sample of size 5, l similar to the corresponding population parameter. The histogram of this sample Summarize your conclusions. Chr 0 A. The distribution is closer ti 0 B. The shape of the distributi O c. The distribution is closer ti the sample variance is but the sample mean is not both the sample mean and variance are 3"\" sample sizes. the sample mean is but the sample variance is not \"1' regardless 0f the sample size. ' . r m | iz . neither the sample mean nor the sample variance are rge sa p e 5 es 0 D. The shape of the distribution -. ...v \"m,\" .. -.....,.. ..... -.....- w -... \"raw\". -...........ion, regardless of the sample size. is not similar to the histogram for the population. similar to the histogram for the population. Summarize your conclusions. Choose the correct answer below. 0 A. The distribution is closer to the population distribution for larger sample sizes than for smaller sample sizes. 0 B. The shape of the distribution of the sample is never the same as the population distribution, regardless of the sample size. 0 C. The distribution is closer to the population distribution for smaller sample sizes than for larger sample sizes. 0 D. The shape of the distribution of the sample is always the same as the population distribution, regardless of the sample size. Click to select vour answerfst