University:
Glendale Community College
Course:
MAT142 | College Mathematics
Academic year:

2020
Views:

340

Pages:

7
Author:

izbra0p

Section 3.3: Measures of Central Tendency Homework #1-8: Determine the mean, median, mode, and midrange for the given data. 1) 2, 3, 5, 5, 20 2) 1, 2, 3, 5, 6, 6, 7 3) 11, 13, 15, 12, 18, 5, 1, 13 4) 21, 25, 29, 27, 15, 21, 28, 13 5) 1, 1, 1, 5, 5, 5 6) 2, 2, 4, 5, 5, 6 7) 1, 2, 3, 4, 9, 8, 7 (round mean to 2 decimals) 8) 6, 7, 8, 9, 5, 4, 3 9) Greg’s mean average on five exams is 81. Find the sum of his scores. 10) Peter’s mean average on 6 exams is 74. Find the sum of his scores. 11) Jan’s mean average on four exams is 90. Find the sum of her scores. 12) Bobby’s mean average on 3 exams is 92. Find the sum of his scores. 13) Lemont plays high school basketball. After 20 games Lemont averaged 18.5 points per game. How many total points did Lemont score? 14) Grady’s car gets 25 mpg. On a recent trip Grady used 10 gallons of gas. How far did he travel? 15) A new sub shop sells 70 sandwiches each day on average. How many sandwiches do they sell in a week? 16) A new car salesman sells 5 cars on average each week. How many cars will he sell in a year, assume he takes two weeks of vacation? 17) A mean average of 80 or greater for five exams is needed for a final grade of B in a course. Thurston’s first four exam grades were 73, 69, 85 and 80. a) What grade does Thurston need on the fifth exam to get a B for the course? b) An average of 70 is needed to pass the course. What grade does Thurston need to pass the course? c) If his lowest grade of the exams already taken is to be dropped, what grade must he receive on his last exam to pass the class? 18) A mean average of 70 on 6 exams is needed to pass a course. On her first 5 exams, Ellie received grades of 55, 77, 72, 64, and 95. a) What grade must she receive on her last exam to pass the course? b) An average of 80 is needed to get a B in the course. Is it possible for Ellie to get a B? If so, what grade must she receive on the 6th exam? c) If her lowest grade of the exams already taken is to be dropped, what grade must she receive on her last exam to pass the class? 19) A mean average of 80 or greater for five exams is needed for a final grade of B in a course. Thurston’s first four exam grades were 73, 69, 85 and 80. The first four tests were worth 100 points, the fifth exam is worth 200 points. a) What grade does Thurston need on the fifth exam to get a B for the course? b) An average of 70 is needed to pass the course. What grade does Thurston need to pass the course? 20) A mean average of 70 on 6 exams is needed to pass a course. On her first 5 exams, Ellie received grades of 55, 77, 72, 64, and 95. The first 5 exams were worth 100 points and the last exam is worth 200 points. a) What grade must she receive on her last exam to pass the course? b) An average of 80 is needed to get a B in the course. Is it possible for Ellie to get a B? If so, what grade must she receive on the 6th exam? Answers: 1) mean 7, median 5, mode 5, midrange 11 3) mean 11, median 12.5, mode 13, midrange 9.5 5) mean 3, median 3, mode 1,5, midrange 3 7) mean 4.86, median 4, mode none, midrange 5 9) 405 11) 360 13) 370 15) 490 17a) 93 17b) 43 17c) 42 19a) 173 19b) 113