Question

MODULE 5. MEASURES OF CENTER 40 Module 5.1 A Feel for Measures of Center Learning Goal: For the distribution of a quantitative variable, describe the overall pattern (shape, center, and spread) and striking deviations from the pattern. Specific Learning Objectives: Find the mean and median from different representations of data. Develop number sense with mean and median by creating different data sets with a given mean or median. 1) Here are two sets of exam scores, one for a class that has 4 students and one for a class that has 15 students. Class A: 80, 90, 90, 100 Class B: 60, 65, 65, 70, 70, 70, 75, 75, 80, 80, 80, 80, 80, 85, 100 a) Without doing any calculations, which class do you think will have a larger mean? Why? b) Now calculate the mean for each class. Which is larger? Why does this make sense?

Answer 1

A think, alags Al will have larger mean. If you see the elements of class A and class B. in class A total no. of elements is 4 and mean will be closer 90. 2nd and 3rd eument 1.e. 90. Similarly for Class B, total no. of elements is in and mean will be closer to 8th element il. 95. As, you known that the mean is the measures of a central bendency. (b) for class A mean = 2 80 +997 90 * 190 360 - [90] for classe . Mean A Eni ñ 604 65+...+ 85710 .- 19 · 139 =[75.667)

larger Class A, LA> ing (Class BJ sense This also implies that the mean is the central value of the given observation