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10. The effect of transformations of scale on the mean and standard deviation You just completed a small research project for your psychology class concerning the effects of an event that happened two years ago on women's opinions and actions today. The mean age of participants in your study is 19.2 years with a standard deviation of 2.1 years. As you write up your results, you realize that what matters is the ages of the participants two years ago when the event happened, not their ages now. You decide to subtract 2 from each of your participants' ages. After you subtract 2 years, the mean age in your sample is ▼ years. The new standard deviation of the ages in your sample ▼ years. is One of the variables you collected was the study participants' weights in pounds. The mean weight of participants in your study is 145 pounds with a standard deviation of 21.75 pounds. Your professor, however, requested that you report this value in kilograms. To convert from pounds to kilograms, you multiply by 0.454. After you multiply the weights of your participants by 0.454, the mean weight in your sample is kilograms. The new standard deviation of the weights in your sample is kilograms.

10. The effect of transformations of scale on the mean and standard deviation You just completed a small research project for your psychology class concerning the effects of an event that happened two years ago on women's opinions and actions today. The mean age of participants in your study is 19.2 years with a standard deviation of 2.1 years. As you write up your results, you realize that what matters is the ages of the participants two years ago when the event happened, not their ages now. You decide to subtract 2 from each of your participants' ages. After you subtract 2 years, the mean age in your sample is ▼ years. The new standard deviation of the ages in your sample ▼ years. is One of the variables you collected was the study participants' weights in pounds. The mean weight of participants in your study is 145 pounds with a standard deviation of 21.75 pounds. Your professor, however, requested that you report this value in kilograms. To convert from pounds to kilograms, you multiply by 0.454. After you multiply the weights of your participants by 0.454, the mean weight in your sample is kilograms. The new standard deviation of the weights in your sample is kilograms.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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10. The effect of transformations of scale on the mean and standard deviation You just completed a small research project for your psychology class concerning the effects of an event that happened two years ago on women's opinions and actions today. The mean age of participants in your study is 19.2 years with a standard deviation of 2.1 years. As you write up your results, you realize that what matters is the ages of the participants two years ago when the event happened, not their ages now. You decide to subtract 2 from each of your participants' ages. After you subtract 2 years, the mean age in your sample is years. The new standard deviation of the ages in your sample years. is One of the variables you collected was the study participants' weights in pounds. The mean weight of participants in your study is 145 pounds with a standard deviation of 21.75 pounds. Your professor, however, requested that you report this value in kilograms. To convert from pounds to kilograms, you multiply by 0.454. After you multiply the weights of your participants by 0.454, the mean weight in your sample is ▼ kilograms. The new standard deviation of the weights in your sample is kilograms.
Transcribed Image Text:10. The effect of transformations of scale on the mean and standard deviation You just completed a small research project for your psychology class concerning the effects of an event that happened two years ago on women's opinions and actions today. The mean age of participants in your study is 19.2 years with a standard deviation of 2.1 years. As you write up your results, you realize that what matters is the ages of the participants two years ago when the event happened, not their ages now. You decide to subtract 2 from each of your participants' ages. After you subtract 2 years, the mean age in your sample is years. The new standard deviation of the ages in your sample years. is One of the variables you collected was the study participants' weights in pounds. The mean weight of participants in your study is 145 pounds with a standard deviation of 21.75 pounds. Your professor, however, requested that you report this value in kilograms. To convert from pounds to kilograms, you multiply by 0.454. After you multiply the weights of your participants by 0.454, the mean weight in your sample is ▼ kilograms. The new standard deviation of the weights in your sample is kilograms.
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