4. Key Concepts Question 4.1. How do we standardize a value of 23 if it comes from a dataset where the mean is 55 and the standard deviation is 8? Assign q4_1 to either 1, 2, 3, or 4. (55 - 23)2 1. 8 55 - 23 8 23 - 55 3 23 - 55 4 V8 q4 1 = . . . grader . check( "q4_1") Question 4.2. According to Chebyshev's Inequality, for any dataset, at least half the data falls within how many standard deviations of the mean? Assign the smallest correct answer to q4_2 . 1. 0.87 2. 1.28 3. 1.42 4. 1.83 q4 2 - . . . grader . check( "q4_2")Question 4.3. Assign q4_3 to a list of all statements below that are always true. 1. If we know the mean and SD of a distribution, we can calculate a 95% confidence interval by stepping out two standard deviations from the mean in either direction. 2. An empirical histogram of the sample average of a large random sample drawn with replacement from a population will be roughly normal. 3. An empirical histogram of the sample median of a large random sample drawn with replacement from a population will be roughly normal. 4. For any distribution, 68% of the data falls within one standard deviation of the mean. 5. For any distribution, at least 68% of the data falls within two standard deviations of the mean. q4 3 - grader . check( "q4_3")