Math 227 - Statistics » Spring 2023 » 04KC Measures of Variation & Relative Standing and Boxplots

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Question #1
In this knowledge check online environment, please use the following data: Miles Freq 0-4 3 5-9 14 10-14 13 15-19 4 Write three sentences for non-statisticians expressing the empirical rule. Assume that this data is bell-shaped! Select the most appropriate sentence corresponding to three standard deviations.
A.   About 99.7% of respondents drive less than 22.0248 miles to LAVC.
B.   About 95% of respondents drive between -2.7306 miles and 22.0248 miles to LAVC.
C.   About 95% of respondents drive less than 22.0248 miles to LAVC.
D.   At least 75% of respondents drive less than 22.0248 miles to LAVC.
E.   About 68% of respondents drive between -2.7306 miles and 22.0248 miles to LAVC.
F.   At least 88.9% of respondents drive between 1.3953 miles and 17.8989 miles to LAVC.
Question #2
In this knowledge check online environment, please use the following data: Miles Freq 0-4 3 5-9 14 10-14 13 15-19 4 Write two sentences for non-statisticians expressing Chebyshev’s Theorem. Select the most appropriate sentence corresponding to two standard deviations.
A.   About 68% of respondents drive between 1.3953 miles and 17.8989 miles to LAVC.
B.   About 99.7% of respondents drive between 1.3953 miles and 17.8989 miles to LAVC.
C.   About 68% of respondents drive less than 22.0248 miles to LAVC.
D.   About 95% of respondents drive between 5.5212 miles and 13.7730 miles to LAVC.
E.   At least 88.9% of respondents drive less than 22.0248 miles to LAVC.
F.   At least 75% of respondents drive between 1.3953 miles and 17.8989 miles to LAVC.
Question #3
Mary runs the mile in 4.3 minutes. Is this mile time unusual if the mean adult female mile time is 5.7 minutes with a standard deviation of 0.73 minutes?
A.   unusual
B.   not unusual
Question #4
What data value represents the 71st percentile? 123 134 135 141 142 144 146 148 151 151 156 166 167
A.   135
B.   146
C.   148
D.   151
Question #5
144 is what percentile? 123 134 135 141 142 144 146 148 151 151 156 166 167
A.   49
B.   56
C.   38
D.   61
Question #6
What data value represents the 25th percentile? 435 439 439 450 456 467 469 481 481 481 489 499
A.   444.5
B.   484.7
C.   435.6
D.   456.3
Question #7
481 is what percentile? 435 439 439 450 456 467 469 481 481 481 489 499
A.   96
B.   63
C.   84
D.   58
Question #8
Construct a boxplot for the following data: 8.5 14 71 77 78 89 100 124 136 150
A.   136
B.   124
C.   88
D.   100

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