© 2013 Pearson Education, Inc. Active Learning Lecture Slides For use with Classroom Response Systems Introductory Statistics: Exploring the World through Data, 1e by Gould and Ryan Chapter 3: Numerical Summaries of Center and Variation Slide 3 - 1

The arithmetic average of a collection of data is called the A. Mean. B. Median. C. Mode. D. Range. Slide © 2013 Pearson Education, Inc. Response Counter

True or False When the distribution of the data is more or less symmetric, the balancing point is roughly in the center. A. True B. False Slide © 2013 Pearson Education, Inc. Response Counter

True or False The mean is the only representation of the “typical” value of the variable. A. True B. False Slide © 2013 Pearson Education, Inc. Response Counter

To calculate the mean, A. Find the arithmetic average of the numbers. B. Add up all the numbers and divide that sum by the number of observations. C. Use the formula D. All of the above. Slide © 2013 Pearson Education, Inc. Response Counter

The mean of a sample, A. Measures the center of a sample distribution. B. Identifies the “balancing point” of the distribution. C. Represents the typical value in a set of data when the distribution is roughly symmetric. D. All of the above. Slide © 2013 Pearson Education, Inc. Response Counter

True or False The standard deviation is a number that measures how far away the typical observation is from the mean. A. True B. False Slide © 2013 Pearson Education, Inc. Response Counter

True or False Distributions that have smaller standard deviations have more observations that are fairly close to the mean. A. True B. False Slide © 2013 Pearson Education, Inc. Response Counter

True or False Distributions that have larger standard deviations have more observations that are farther from the mean. A. True B. False Slide © 2013 Pearson Education, Inc. Response Counter

True or False In a symmetric, unimodal distribution, the majority of the observations (in fact, about two- thirds of them) are less than one standard deviation from the mean. A. True B. False Slide © 2013 Pearson Education, Inc. Response Counter

The standard deviation, A. Measures the spread of a distribution. B. Measures the typical distance of the observations from the mean. C. Measures the amount of variability in a sample when the distribution is fairly symmetric. D. All of the above. Slide © 2013 Pearson Education, Inc. Response Counter