Measures of central tendency contribute to summarizing data. These involve the mode, the median, and the mean that represent the middle of the data distribution. The mode is the value that occurs most commonly in distribution, the median is the middle value, and mean is the average value of the observations.

Question

Want to see more full solutions like this?

Answer 1

Question

Chapter 3, Problem 1MM

Summary Introduction

Introduction: Measures of central tendency contribute to summarizing data. These involve the mode, the median, and the mean that represent the middle of the data distribution. The mode is the value that occurs most commonly in distribution, the median is the middle value, and mean is the average value of the observations.

Expert Solution & Answer

Answer to Problem 1MM

Correct answer: The mean is the measure of central tendency that is most easily distorted by few very large or very small scores. Therefore, option b. is correct.

Explanation of Solution

Reason for the correct statement:

The mean value is obtained by summing the scores and dividing it with the number of scores. It involves every score in the distribution; thus, any change in the score value would alter the value of mean. If the distribution contains some extreme scores (such as very small or very large values), the mean would be easily displaced. In this case, the mean would not provide the central value.

Hence,option b. is correct.

Reasons for the incorrect statement:

Option a. is given as “the mode”. The mode is the most commonly occurring score in the distribution. Hence, it is a wrong answer.

Option c. is given as “the median”. It is the middle value when data is distributed in ascending or descending order. It requires scores from smallest largest values. Hence, it is a wrong answer.

Option d. is given as “they are all equally vulnerable to distortion from atypical scores”. All three measures of central tendency are equally distributed if there is symmetrical distribution. The mean denotes the average value, so it is most commonly distorted with extreme variations in the scores. Hence, option d. is incorrect.

Hence, options a., c., and d. are incorrect.

Conclusion

The mean is most easily distorted by very large or very small scores.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

You are serving an adolescent with autism, with an insurance authorization for applied behavior analysis services. The client's parent would like you to include animal assisted therapy (and has even secured a therapy dog) and essential oils in your services. Which of these is most relevant? 3.11: Documenting Professional Activity 3.09: Communicating with Stakeholders about Third-party Contracted Services; and 3.10: Limits on Confidentiality 3.08: Responsibility to the Client with Third-party Contracts for Service; and 3.09: Communicating with Stakeholders About Third-party Contracted Services; and 3.12: Advocating for Appropriate Services 3.11: Documenting Professional Activity; and 3.12: Advocating for Appropriate Services

Bailey, J. S. and Burch, M. R. (2010). 25 essential skills and strategies for the professional behavior analyst: Expert tips for maximizing consulting effectiveness. Ch. 14 Shaping can be used for either a problem that is due to a skill deficit (in which shaping is used to teach the needed behavior) or is due to a motivational problem (in which case, shaping is used to gradually move the person to “yes”). Describe a situation in which it would be appropriate – and useful for all concerned – to use shaping when the problem is due to a skill deficit. Why would it be appropriate to use shaping in this situation? How would you do it? Describe a situation in which it would be appropriate – and useful for all concerned – to use shaping when the problem is a motivational problem. Why would it be appropriate to use shaping in this situation? How would you do it? Describe a situation in which it would be inappropriate to use shaping – either for a skill deficit or a…

Answer 2

Question

Chapter 3, Problem 1MM

Summary Introduction

Introduction: Measures of central tendency contribute to summarizing data. These involve the mode, the median, and the mean that represent the middle of the data distribution. The mode is the value that occurs most commonly in distribution, the median is the middle value, and mean is the average value of the observations.

Expert Solution & Answer

Answer to Problem 1MM

Correct answer: The mean is the measure of central tendency that is most easily distorted by few very large or very small scores. Therefore, option b. is correct.

Explanation of Solution

Reason for the correct statement:

The mean value is obtained by summing the scores and dividing it with the number of scores. It involves every score in the distribution; thus, any change in the score value would alter the value of mean. If the distribution contains some extreme scores (such as very small or very large values), the mean would be easily displaced. In this case, the mean would not provide the central value.

Hence,option b. is correct.

Reasons for the incorrect statement:

Option a. is given as “the mode”. The mode is the most commonly occurring score in the distribution. Hence, it is a wrong answer.

Option c. is given as “the median”. It is the middle value when data is distributed in ascending or descending order. It requires scores from smallest largest values. Hence, it is a wrong answer.

Option d. is given as “they are all equally vulnerable to distortion from atypical scores”. All three measures of central tendency are equally distributed if there is symmetrical distribution. The mean denotes the average value, so it is most commonly distorted with extreme variations in the scores. Hence, option d. is incorrect.

Hence, options a., c., and d. are incorrect.

Conclusion

The mean is most easily distorted by very large or very small scores.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 3, Problem 1MM

Summary Introduction

Introduction: Measures of central tendency contribute to summarizing data. These involve the mode, the median, and the mean that represent the middle of the data distribution. The mode is the value that occurs most commonly in distribution, the median is the middle value, and mean is the average value of the observations.

Expert Solution & Answer

Answer to Problem 1MM

Correct answer: The mean is the measure of central tendency that is most easily distorted by few very large or very small scores. Therefore, option b. is correct.

Explanation of Solution

Reason for the correct statement:

The mean value is obtained by summing the scores and dividing it with the number of scores. It involves every score in the distribution; thus, any change in the score value would alter the value of mean. If the distribution contains some extreme scores (such as very small or very large values), the mean would be easily displaced. In this case, the mean would not provide the central value.

Hence,option b. is correct.

Reasons for the incorrect statement:

Option a. is given as “the mode”. The mode is the most commonly occurring score in the distribution. Hence, it is a wrong answer.

Option c. is given as “the median”. It is the middle value when data is distributed in ascending or descending order. It requires scores from smallest largest values. Hence, it is a wrong answer.

Option d. is given as “they are all equally vulnerable to distortion from atypical scores”. All three measures of central tendency are equally distributed if there is symmetrical distribution. The mean denotes the average value, so it is most commonly distorted with extreme variations in the scores. Hence, option d. is incorrect.

Hence, options a., c., and d. are incorrect.

Conclusion

The mean is most easily distorted by very large or very small scores.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 3, Problem 1MM

Summary Introduction

Introduction: Measures of central tendency contribute to summarizing data. These involve the mode, the median, and the mean that represent the middle of the data distribution. The mode is the value that occurs most commonly in distribution, the median is the middle value, and mean is the average value of the observations.

Expert Solution & Answer

Answer to Problem 1MM

Correct answer: The mean is the measure of central tendency that is most easily distorted by few very large or very small scores. Therefore, option b. is correct.

Explanation of Solution

Reason for the correct statement:

The mean value is obtained by summing the scores and dividing it with the number of scores. It involves every score in the distribution; thus, any change in the score value would alter the value of mean. If the distribution contains some extreme scores (such as very small or very large values), the mean would be easily displaced. In this case, the mean would not provide the central value.

Hence,option b. is correct.

Reasons for the incorrect statement:

Option a. is given as “the mode”. The mode is the most commonly occurring score in the distribution. Hence, it is a wrong answer.

Option c. is given as “the median”. It is the middle value when data is distributed in ascending or descending order. It requires scores from smallest largest values. Hence, it is a wrong answer.

Option d. is given as “they are all equally vulnerable to distortion from atypical scores”. All three measures of central tendency are equally distributed if there is symmetrical distribution. The mean denotes the average value, so it is most commonly distorted with extreme variations in the scores. Hence, option d. is incorrect.

Hence, options a., c., and d. are incorrect.

Conclusion

The mean is most easily distorted by very large or very small scores.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 3, Problem 1MM

Summary Introduction

Introduction: Measures of central tendency contribute to summarizing data. These involve the mode, the median, and the mean that represent the middle of the data distribution. The mode is the value that occurs most commonly in distribution, the median is the middle value, and mean is the average value of the observations.

Expert Solution & Answer

Answer to Problem 1MM

Correct answer: The mean is the measure of central tendency that is most easily distorted by few very large or very small scores. Therefore, option b. is correct.

Explanation of Solution

Reason for the correct statement:

The mean value is obtained by summing the scores and dividing it with the number of scores. It involves every score in the distribution; thus, any change in the score value would alter the value of mean. If the distribution contains some extreme scores (such as very small or very large values), the mean would be easily displaced. In this case, the mean would not provide the central value.

Hence,option b. is correct.

Reasons for the incorrect statement:

Option a. is given as “the mode”. The mode is the most commonly occurring score in the distribution. Hence, it is a wrong answer.

Option c. is given as “the median”. It is the middle value when data is distributed in ascending or descending order. It requires scores from smallest largest values. Hence, it is a wrong answer.

Option d. is given as “they are all equally vulnerable to distortion from atypical scores”. All three measures of central tendency are equally distributed if there is symmetrical distribution. The mean denotes the average value, so it is most commonly distorted with extreme variations in the scores. Hence, option d. is incorrect.

Hence, options a., c., and d. are incorrect.

Conclusion

The mean is most easily distorted by very large or very small scores.

Answer 6

Chapter 3, Problem 1MM

Summary Introduction

Introduction: Measures of central tendency contribute to summarizing data. These involve the mode, the median, and the mean that represent the middle of the data distribution. The mode is the value that occurs most commonly in distribution, the median is the middle value, and mean is the average value of the observations.

Expert Solution & Answer

Answer to Problem 1MM

Correct answer: The mean is the measure of central tendency that is most easily distorted by few very large or very small scores. Therefore, option b. is correct.

Explanation of Solution

Reason for the correct statement:

The mean value is obtained by summing the scores and dividing it with the number of scores. It involves every score in the distribution; thus, any change in the score value would alter the value of mean. If the distribution contains some extreme scores (such as very small or very large values), the mean would be easily displaced. In this case, the mean would not provide the central value.

Hence,option b. is correct.

Reasons for the incorrect statement:

Option a. is given as “the mode”. The mode is the most commonly occurring score in the distribution. Hence, it is a wrong answer.

Option c. is given as “the median”. It is the middle value when data is distributed in ascending or descending order. It requires scores from smallest largest values. Hence, it is a wrong answer.

Option d. is given as “they are all equally vulnerable to distortion from atypical scores”. All three measures of central tendency are equally distributed if there is symmetrical distribution. The mean denotes the average value, so it is most commonly distorted with extreme variations in the scores. Hence, option d. is incorrect.

Hence, options a., c., and d. are incorrect.

Conclusion

The mean is most easily distorted by very large or very small scores.

Answer 7

Chapter 3, Problem 1MM

Summary Introduction

Introduction: Measures of central tendency contribute to summarizing data. These involve the mode, the median, and the mean that represent the middle of the data distribution. The mode is the value that occurs most commonly in distribution, the median is the middle value, and mean is the average value of the observations.

Answer 8

Expert Solution & Answer

Answer to Problem 1MM

Correct answer: The mean is the measure of central tendency that is most easily distorted by few very large or very small scores. Therefore, option b. is correct.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Reason for the correct statement:

The mean value is obtained by summing the scores and dividing it with the number of scores. It involves every score in the distribution; thus, any change in the score value would alter the value of mean. If the distribution contains some extreme scores (such as very small or very large values), the mean would be easily displaced. In this case, the mean would not provide the central value.

Hence,option b. is correct.

Reasons for the incorrect statement:

Option a. is given as “the mode”. The mode is the most commonly occurring score in the distribution. Hence, it is a wrong answer.

Option c. is given as “the median”. It is the middle value when data is distributed in ascending or descending order. It requires scores from smallest largest values. Hence, it is a wrong answer.

Option d. is given as “they are all equally vulnerable to distortion from atypical scores”. All three measures of central tendency are equally distributed if there is symmetrical distribution. The mean denotes the average value, so it is most commonly distorted with extreme variations in the scores. Hence, option d. is incorrect.

Hence, options a., c., and d. are incorrect.

Answer 12

Conclusion

The mean is most easily distorted by very large or very small scores.

Answer 13

Ch. 3 - Prob. 1MM Ch. 3 - Prob. 2MM Ch. 3 - Prob. 3MM Ch. 3 - Prob. 4MM

Answer to Problem 1MM

Explanation of Solution

Want to see more full solutions like this?

Chapter 3 Solutions