Statistics

Mean, Median, Mode Combinations

14. The average of 5 distinct scores has the same value as

2017 April(74F) Math Question 14

16. What is the difference between the median and the mean number of tickets sold at the 5 schools?

2018 April(A09) Math Question 16

2020 July(C01) Math Question 19

26. An outlier is added to the data set below. Which of the following pairs of statistics has no change in value as a result of the addition of the outlier? {60, 63, 66, 70, 72, 72, 73, 73, 73, 75}

Statistics (Mean, Median, Mode, Standard Deviation)

2020 December(D03) Math Question 26

27. On the first 7 statistics tests of the semester, Jamal scored 61, 76, 79, 80, 80, 84, and 91. The mean, median, and mode of his scores were 79, 80, and 80, respectively. On the 8th statistics test, Jamal scored 90. How do the mean, median, and mode of all 8  of his scores compare to the mean, median, and mode of his first 7 scores?

2021 April(Z04) Math Question 27

2018 December(B05) Math Question 28

28. The average of a list of 4 numbers is 90.0. A new list of 4 numbers has the same first 3 numbers as the original list. but the fourth number in the original list is 80, and the fourth number in the new list is 96. What is the average of this new list of numbers?

2017 April(74F) Math Question 28

2011 April(67F) Math Question 37

39. For which of the following data sets is the difference between the mean and the median the greatest?

2018 April(A09) Math Question 39

41. Set A and Set B each consist of 5 distinct numbers. The 2 sets contain identical numbers with the exception of the number with the least value in each set. The number with the least value in Set B is greater than the number with the least value in Set A. The value of which of the following measures must be greater for Set B than- for Set A?

2017 June(74C) Math Question 41

45. What is the product of the mean and the median of the first 6 prime numbers?(Note: 2 is the first prime number.)

2018 June(A11) Math Question 45

2019 April(Z15) Math Question 45

51. The list of numbers 41, 35, 30, X, Y, 15 has a median of 25. The mode of the list of numbers is 15. To the nearest whole number, what is the mean of the list?

2017 April(74F) Math Question 51

52. The mean of 5 integers is 52. The median of these 5 integers is 82. Three of the integers are 0, 12, and 82. Which of the following could be one of the other integers?

2018 June(A11) Math Question 52

2019 April(B04) Math Question 52

56. In a data set of 10 distinct values, the single largest value is replaced with a much greater value to form a new data set. Which of the following statements is true about the values of the mean and median for the new data set as compared to the mean and median of the original data set?

Mean, Median, Mode CombinationsStatisticsACT math questions

2017 April(74F) Math Question 14

2018 April(A09) Math Question 16