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 4, Problem 19TYS

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 19TYS

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

I need help with this assignment I need to find at least 50 preferences for nonconformity for this research question Can having certain body modifications increase or decrease your chances of attracting a mate? That can work for a survey question

What are criteria of merit that could be used to evaluate social welfare policies and programs? Please cite in text source and list references

Instructions: Select one of the three prompts below to elaborate your response. In 150 words or more, create a post that identifies some of the challenges affecting the popularity of classical music and provides two or more solutions to change its perception among younger generations. Prompt A: What are some reasons why classical music may not be as popular among younger generations today compared to other genres? Consider factors such as accessibility, relevance, and cultural perceptions.

Answer 2

Question

Chapter 4, Problem 19TYS

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 19TYS

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 4, Problem 19TYS

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 19TYS

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 4, Problem 19TYS

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 19TYS

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 4, Problem 19TYS

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 19TYS

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 4, Problem 19TYS

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 19TYS

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 4, Problem 19TYS

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 19TYS

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. 4 - Prob. 19TYS Ch. 4 - Prob. 20TYS Ch. 4 - Prob. 21TYS Ch. 4 - Prob. 22TYS

Answer to Problem 19TYS

Explanation of Solution

Want to see more full solutions like this?

Chapter 4 Solutions