Measures of Central Tendency

University:
Sam Houston State University
Course:
MATH 3383 | Geometric Measurement/Transformation
Academic year:

2024
Views:

483

Pages:

3
Author:

customer-8929108

Measures of Central Tendency Mean - the average - is calculated by taking the ________________________________________ of the data and _________________________ by the number of pieces of data. Median - is found by ________________________________ the data in ________________________________ order and finding the ________________________________ value. If there is an odd number of data, there is a single middle value. If there is an even number of data, the median is the ___________________________________ of the two middle values. Mode - is found using the data. It is the value that occurs most _____________________________________. Mean, median, and mode are called measures of _______________________________ tendency. When we analyse data, it is important to know whether the data is ______________________________________ spread out, or whether it is ______________________________________ around the mean. Example. The daily temperature, in degrees Celsius, was recorded for a two week period. 26, 27, 28, 30, 34, 36, 37, 38, 37, 35, 36, 34, 29, 35 a) Calculate the mean, median and the mode for the data. b) Which measure of central tendency gives the best idea of what the temperature was like these two weeks? Example. Phillip recently moved to a new town and wanted to find his average commute time. He recorded the time, in minutes, to travel from his apartment to the office for fifteen days. 65, 80, 58, 56, 67, 60, 52, 70, 63, 59, 61, 75, 85, 55, 60 a) Determine and compare the three measures of central tendency. b) Which measure gives the most appropriate “average” commuting time? Why? Weighted Mean - A mean in which each component has a different weighting factor - To calculate each mean, multiply each value by its weighting factor, then divide by the sum if the factors Sam Weighting Factor (%) David Weighting Factor (%) Quiz 24 15 18 15 40 15 46 15 89 25 95 25 Independent Study (out of 60) 43 10 48 10 Performance task (out of 100) 85 10 82 10 72 25 64 25 (out of 30) Assignment (out of 60) Test (out of 120) Final Exam (out of 90) Who had the better percent overall mark and by how much? Homework: handout

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