PROBLEMS ON STATISTICS

D Question 1 1 pts 1 (a) The grades for a sample of 4 students in a class are 20, 60, 80 and 90. What is the mean grade, ac? 70 D Question 2 1 pts 1. (b) The grades for a sample of 4 students in a class are 20, 60, 80 and 90. What is the median grade? 70 D Question 3 1 pts 1 (c) The grades for a sample of 4 students in a class are 20, 60, 80 and 90. What is the standard deviation of the sample?D Question 4 1 pts 1. (d) The grades for a sample of 5 students in a class are 20, 60, 80, 90 and X, where the grade of the 5th student is illegible, and has been called X. It is known that the mean grade for the sample is 67. What was the value of X? D Question 5 1 pts 2 (a) The grades for a sample of 9 students in a second class are 12, 78, 24, 28, 42, 60, 94, 62, 68. What is the median grade? D Question 6 1 pts 2 (b) The grades for a sample of 9 students in a second class are 12, 78, 24, 28, 42, 60, 94, 62, 68 (the same as in 2(a). What is the first quartile, Q1?D Question 7 1 pts 2 (c) The grades for a sample of 9 students in a second class are 12, 78, 24, 28, 42, 60, 94, 62, 68 (the same as in 2(a). What is the third quartile, Q3? D Question 8 1 pts 2 (d) The grades for a sample of 9 students in a second class are 12, 78, 24, 28, 42, 60, 94, 62, 68 (the same as in 2(a). What is the mean, ac? D Question 9 1 pts 2 (e) The grades for a sample of 9 students in a second class are 12, 78, 24, 28, 42, 60, 94, 62, 68 (the same as in 2(a). What is the mean value of the deviation from the mean, x - x?D Question 10 1 pts 2 (f) If a new grade, Y, is added to the data set, so the data set becomes 12, 78, 24, 28, 42, 60, 94, 62, 68, Y (where Y is the new grade), what is the maximum amount by which the new median could differ from the old median (in 2(a))? (This means, if the new median is mnew and the old median that you found in 2(a) was mold, what is the maximum value that | mnew - mold | can have? Here, | x| denotes the absolute value of x, which is always greater than or equal to O. For example, if the new median is 56 and the old median was 62, I would say that the new median differs from the old median by | 56 - 621 = 6). D Question 11 1 pts 3 (a) In a class with scores of 12 10 64 34 50 95 2 68 40, what is the median score? Your answer should be correct to three decimal places.D Question 12 1 pts In the same class as in problem 3(a), what is the cut-off for the 70th percentile? Your answer should be correct to three decimal places. D Question 13 1 pts 3 (c) In the same class as in problem 3(a), what is the mean score? Your answer should be correct to three decimal places.what was the mean daily maximum temperature in Boston in March 2019? (The relevant data from this spreadsheet is as follows: 6 38 34 41 40 31 27 30 38 46 40 50 45 40 51 64 56 43 44 48 51 52 44 48 60 52 44 41 54 58 67 70 Type your answer as a number that is accurate to three decimal places. US THIS IS PROBLEM 4a D Question 15 1 pts 4 (b) Using the same red data as in problem 4(a), what was the median daily maximum temperature in Boston in March 2019? Type your answer as a number that is accurate to three decimal places.D Question 16 1 pts 4 (c) Using the same red data as in problem 4(a) and considering it to be a sample of the weather in Boston for the month of March, what is the sample standard deviation for the daily maximum temperature for Boston in March? Type your answer as a number that is accurate to three decimal places