Hello, can you tell me what your thoughts are on this? Thank you.

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 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 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 SSOONO0AON (Type whole numbers.)Construct a histogram for the second sample of 5 cards. Choose the correct graph below. O A. O B. 2- Frequency Frequency 1- 2 3 4 56 8 9 10 11 1 2 3 4 8 9 10 11 Value Value O C. OD. Frequency Frequency 2 3 4 5 6 8 9 10 11 2 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, 'l" similar to the corresponding population parameter. The histogram of this sample E similar to the histogram for the population. For the second sample of size 5, 1 similar to the corresponding population parameter. The histogram of this sample E similar to the histogram for the population. Summarize your oonolusions. Choom the correct answer below. 0 A. The shape of the distribution of the sample is never the same as the population distribution. regardless of the sample size. 0 B. The distribution is closer to the population distribution for smaller sample sizes than for larger sample sizes. 0 C. The shape of the distribution of the sample is always the same as the population distribution, regardless of the sample size. 0 D. The distribution is closer to the population distribution for larger sample sizes than for smaller sample sizes. Construct a histogram of the card values. Choose the correct graph below. O A. O B. 5- Frequency Frequency 2 3. 4 6 7 8 9 10 11 1 3 4 5 6 8 9 10 11 Value Value O C. OD. 207 Frequency Frequency 16- 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 Value ValueCompute 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 Frequency 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 Value Value O C. OD. Frequency Frequency 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 Value ValueCompute 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 5 6 7 78 9 10 11 1 2 3 4 5 6 Value 7 8 9 10 11 Value O C. O D. Frequency Frequency 2 3 4 5 6 7 '8 9 10 11 2 3 4 5 6 7 8 9 10 11 Value ValueHow 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 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. 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. 2- 3- Frequency 1- Frequency 2 3 5 6 8 9 10 11 1 2 3 4 5 6 17 8 9 10 11 Value Value O C. OD. 27 Frequency Frequency 2 3 5 6 7 8 9 10 11 0- 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 D. (Round to two decimal places as needed.) The variance of the card values is El. (Round to two decimal places as needed.)