12. Critical Thinking Consider the following types of data that were obtained from a random sample of 49 credit card accounts. Identify all the averages (mean, median, or mode) that can be used to summarize the data. (a) Outstanding balance on each account (b) Name of credit card (e.g., MasterCard, Visa, American Express, etc.) (c) Dollar amount due on next payment -

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Chapter10: Statistics
Section10.3: Measures Of Spread
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Please answer number 12. Make sure to show work, thank you!
12. Critical Thinking Consider the following types of data that were obtained
from a random sample of 49 credit card accounts. Identify all the averages
(mean, median, or mode) that can be used to summarize the data.
(a) Outstanding balance on each account
(b) Name of credit card (e.g., MasterCard, Visa, American Express, etc.)
(c) Dollar amount due on next payment
13. Critical Thinking Consider the numbers
2 3 4 5 5
(a) Compute the mode, median, and mean.
(b) If the numbers represent codes for the colors of T-shirts ordered from a
catalog, which average(s) would make sense?
(c) If the numbers represent one-way mileages for trails to different lakes,
which average(s) would make sense?
(d) Suppose the numbers represent survey responses from 1 to with
1 = disagree strongly, 2= disagree, 3 agree, 4 agree strongly,
and 5 = agree very strongly. Which averages make sense?
14. Critical Thinking Consider two data sets.
Set A: n = 5; x = 10
Set B: n= 50; x = 10
(a) Suppose the number 20 is included as an additional data value in Set A.
Computex for the new data set. Hint: Ex= nx. To computex for the new
data set, add 20 to Ex of the original data set and divide by 6.
Copyright 2019 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. WCN 02-200-203
Copyright 2019 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s).
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.
SECTION 3.1 Measures of Central Tendency: Mode, Median, and Mean 101
(b) Suppose the number 20 is included as an additional data value in Set B.
Computex for the new data set.
(c) Why does the addition of the number 20 to each data set change the mean
for Set A more than it does for Set B?
15. Interpretation A job-performance evaluation form has these categories:
1 = excellent; 2= good; 3 = satisfactory; 4 = poor; 5 = unacceptable
Based on 15 client reviews, one employee had
median rating of 4; mode rating of 1
The employee was pleased that most clients had rated her as excellent. The
supervisor said improvement was needed because at least half the clients had
rated the employee at the poor or unacceptable level. Comment on the differ-
ent perspectives.
Transcribed Image Text:12. Critical Thinking Consider the following types of data that were obtained from a random sample of 49 credit card accounts. Identify all the averages (mean, median, or mode) that can be used to summarize the data. (a) Outstanding balance on each account (b) Name of credit card (e.g., MasterCard, Visa, American Express, etc.) (c) Dollar amount due on next payment 13. Critical Thinking Consider the numbers 2 3 4 5 5 (a) Compute the mode, median, and mean. (b) If the numbers represent codes for the colors of T-shirts ordered from a catalog, which average(s) would make sense? (c) If the numbers represent one-way mileages for trails to different lakes, which average(s) would make sense? (d) Suppose the numbers represent survey responses from 1 to with 1 = disagree strongly, 2= disagree, 3 agree, 4 agree strongly, and 5 = agree very strongly. Which averages make sense? 14. Critical Thinking Consider two data sets. Set A: n = 5; x = 10 Set B: n= 50; x = 10 (a) Suppose the number 20 is included as an additional data value in Set A. Computex for the new data set. Hint: Ex= nx. To computex for the new data set, add 20 to Ex of the original data set and divide by 6. Copyright 2019 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. WCN 02-200-203 Copyright 2019 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. SECTION 3.1 Measures of Central Tendency: Mode, Median, and Mean 101 (b) Suppose the number 20 is included as an additional data value in Set B. Computex for the new data set. (c) Why does the addition of the number 20 to each data set change the mean for Set A more than it does for Set B? 15. Interpretation A job-performance evaluation form has these categories: 1 = excellent; 2= good; 3 = satisfactory; 4 = poor; 5 = unacceptable Based on 15 client reviews, one employee had median rating of 4; mode rating of 1 The employee was pleased that most clients had rated her as excellent. The supervisor said improvement was needed because at least half the clients had rated the employee at the poor or unacceptable level. Comment on the differ- ent perspectives.
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