Question

2.4.1 Measuring Variability Relative to the Mean Learning Objective: Distinguish between graphs with large or small standard deviation using the concept of average deviation from the mean. 2) Here are exam scores for 11 students. The mean score is 70 points out of 100. 40 50 60 80 100 Which score varies the most from the mean? What is this score's distance from the mean? Which score varies the least from the mean? What is this score's distance from the mean? How far above the mean is the highest score? How many students had scores that vary 10 points from the mean? Statisticians invented standard deviation to measure variability about the mean. The standard deviation is roughly the average distance that the data points vary from the mean To estimate the standard deviation we will use the average distance from the mean. Fill in the table by finding the distance of each data point from the mean. What is the average distance that scores vary from the mean? 30 50 606070 70 70 80 90 90 100 Data Distance from mean 20 10 3) Compare this graph of exam scores to the graph in #2. Here the mean is also 70. Do you think the average distance from the mean will be larger or smaller or the same? Why? 40 50 60 8 90 1 sceres

Answer 1

2)、Stone varas mest the waan 30 isa o mean = 40 mads Sre varus eaak trom ui mean: 60,8。

Dale! 30 50 60 60绅70 70 80 ao q0lao 4 0 20 1o 1o o o o to 20 20 30 ~ 40+20+10 t10 toto to t 10 +20 t20 +30 = 14.54 meew