Advanced Pre-Algebra Study Guide Lesson 5.7: Decimal Applications: Mean, Median, and Mode Name ________________________ Period ______ Date __________ Learning Targets: I will find the mean of a list of numbers. I will find the median of a list of numbers. I will find the mode of a list of numbers. Homework: Pages 386-387, #3-39 multiples of 3 (You may use a calculator.) The mean (average) of a set of number items in the sum of the items divided by the number of items. 𝑚𝑒𝑎𝑛 = 𝑠𝑢𝑚 𝑜𝑓 𝑖𝑡𝑒𝑚𝑠 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑖𝑡𝑒𝑚𝑠 The median of a set of numbers in numerical order is the middle number. If the number of items is odd, the median is the middle number. If the number of items is even, the median is the mean of the two middle numbers. The mode of a set of numbers is the number that occurs most often. (It is possible for a set of numbers to have more than one mode or to have no mode.) Practice 1. Find the mean of the following test scores: 87, 75, 96, 91, and 78. 2. Find the grade point average if the following grades were earned in one semester. The point values of grades commonly earned in colleges and Grade Credit universities are as follows: A: 4, B: 3, C: 2, D: 1, F: 0 Hours A 2 B 4 C 5 D 2 A 2 3. Find the median of the list of numbers: 5, 11, 14, 23, 24, 35, 38, 41, 43 4. Find the median of the list of scores: 36, 91, 78, 65, 95, 95, 88, 71. 5. Find the mode of the list of numbers: 14, 10, 10, 13, 15, 15 15, 17, 18, 18, 20 6. Find the mean, median, and mode of the list of numbers: 26, 31, 15, 15, 26, 30, 16, 18, 15, 35. Use the choices below to fill in each blank. Some choices may be used more than once. mean mode median average grade point average 1. Another word for “mean” is _______________________. 2. The number that occurs most often in a set of numbers is called the _____________. 3. The _____________________ of a set of number items is 𝑠𝑢𝑚 𝑜𝑓 𝑖𝑡𝑒𝑚𝑠 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑖𝑡𝑒𝑚𝑠 . 4. The _________________ of a set of numbers is the middle number. If the number of numbers is even, it is the ________________ of the two middle numbers. 5. An example of weighted mean is a calculation of _________________________.