13. | Expand Your Knowledge: Data Transformation In this problem, we explore the effect on the mean, median, and mode of multiplying each data value by the same number. Consider the data set 2, 2, 3, 6, 10. (a) Compute the mode, median, and mean. (b) Multiply each data value by 5. Compute the mode, median, and mean. (c) Compare the results of parts (a) and (b). In general, how do you think the mode, median, and mean are affected when each data value in a set is multi- plied by the same constant? Section 3.1 Measures of Central Tendency: Mode, Median, and Mean 91 (d) Suppose you have information about average heights of a random sample of airplane passengers. The mode is 70 inches, the median is 68 inches, and the mean is 71 inches. To convert the data into centimeters, multiply each data value by 2.54. What are the values of the mode, median, and mean in centimeters?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
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Solve task d) from image.

13. | Expand Your Knowledge: Data Transformation In this problem, we explore the
effect on the mean, median, and mode of multiplying each data value by the
same number. Consider the data set 2, 2, 3, 6, 10.
(a) Compute the mode, median, and mean.
(b) Multiply each data value by 5. Compute the mode, median, and mean.
(c) Compare the results of parts (a) and (b). In general, how do you think the
mode, median, and mean are affected when each data value in a set is multi-
plied by the same constant?
Section 3.1
Measures of Central Tendency: Mode, Median, and Mean
91
(d) Suppose you have information about average heights of a random sample of
airplane passengers. The mode is 70 inches, the median is 68 inches, and the
mean is 71 inches. To convert the data into centimeters, multiply each data value
by 2.54. What are the values of the mode, median, and mean in centimeters?
Transcribed Image Text:13. | Expand Your Knowledge: Data Transformation In this problem, we explore the effect on the mean, median, and mode of multiplying each data value by the same number. Consider the data set 2, 2, 3, 6, 10. (a) Compute the mode, median, and mean. (b) Multiply each data value by 5. Compute the mode, median, and mean. (c) Compare the results of parts (a) and (b). In general, how do you think the mode, median, and mean are affected when each data value in a set is multi- plied by the same constant? Section 3.1 Measures of Central Tendency: Mode, Median, and Mean 91 (d) Suppose you have information about average heights of a random sample of airplane passengers. The mode is 70 inches, the median is 68 inches, and the mean is 71 inches. To convert the data into centimeters, multiply each data value by 2.54. What are the values of the mode, median, and mean in centimeters?
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