Algebra 2/Trig Name: ________________________________ Summary Statistics Practice Date: _________________________________ Directions: Complete each multiple choice and open ended problem. This is great preparation for the SAT/ACT! ______1) For the numbers 7, 3, 4, 7, 8, 13, and 7, which of the following is true? A) median < mode < mean B) median > mode > mean C) mode = mean = median D) mode > median > mean ______ 2) Gloria earned the following grades on four out five tests for the marking period: 83, 79, 84, and 82. What grade must Gloria earn on the fifth test so that the mean of all of her test scores will be 84? A) 84 B) 86 C) 92 D) 94 ______ 3) The mean grade on a test taken by 10 students was 77. When one more student took the test, the mean for all tests was raised to 79. What score did the last student to take the test earn? A) 77 B) 79 C) 90 D) 99 ______4) The mean of A and B is 10. The mean of X, Y, and Z is 20. What is the mean of A, B, X, Y, and Z? A) 15 B) 16 C) 18 D) 19 #5-6 Refer to the frequency table shown. ______5) What is the range of the heights shown, in inches? A) 0 Inches B) 1 Inch C) 4 Inches D) 8 Inches ______6) What is the standard deviation of the heights shown, in inches? A) 64.76 Inches B) 2.78 Inches C) 5 Inches D) 3 Inches Height Frequency 5’ 1’’ 4 5’ 2’’ 5 5’ 3’’ 7 5’ 4’’ 1 5’ 5’’ 5’ 6’’ 5’ 7’’ 5’ 8’’ 3 5’ 9’’

Algebra 2/Trig Name: ________________________________ Summary Statistics Practice Date: _________________________________ _____7) The table shows the distribution of scores of 40 students on a test. In which interval does the median fall? A) 51-60 B) 61-70 C) 71-80 D) 81-90 8 – Open Ended: An integer data set has 5 data points such that the mean and mode are each equal to the median. If four of the five points are 14, 17, 17, and 21, what is the fifth data point? 9 – Open Ended: The average of 3 numbers is twice the median. If the median is 13 and the lowest number is 9, what is the highest number? 10 - Open Ended: The weight (in pounds) of each wrestler on the high school wrestling team is listed below 178 142 112 150 206 130 i) What is the median weight of the wrestlers? ii) What is the mean weight of the wrestlers? iii) Two more wrestlers join the team during the season. The addition of these wrestlers has no effect on the mean weight of the wrestlers, but the median weight of the wrestlers increases by 3 pounds. Determine the weights of the two new wrestlers. Scores Frequency 91-100 3 81-90 5 71-80 14 61-70 15 51-60 2 41-50 1