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 68% of respondents drive between -2.7306 miles and 22.0248 miles to LAVC.
B.   About 95% of respondents drive less than 22.0248 miles to LAVC.
C.   At least 75% of respondents drive less than 22.0248 miles to LAVC.
D.   About 99.7% of respondents drive less than 22.0248 miles to LAVC.
E.   At least 88.9% of respondents drive between 1.3953 miles and 17.8989 miles to LAVC.
F.   About 95% of respondents drive between -2.7306 miles and 22.0248 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 99.7% of respondents drive between 1.3953 miles and 17.8989 miles to LAVC.
B.   About 95% of respondents drive between 5.5212 miles and 13.7730 miles to LAVC.
C.   At least 75% of respondents drive between 1.3953 miles and 17.8989 miles to LAVC.
D.   At least 88.9% of respondents drive less than 22.0248 miles to LAVC.
E.   About 68% of respondents drive between 1.3953 miles and 17.8989 miles to LAVC.
F.   About 68% of respondents drive less than 22.0248 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.   not unusual
B.   unusual
Question #4
What data value represents the 71st percentile? 123 134 135 141 142 144 146 148 151 151 156 166 167
A.   148
B.   146
C.   135
D.   151
Question #5
144 is what percentile? 123 134 135 141 142 144 146 148 151 151 156 166 167
A.   61
B.   38
C.   56
D.   49
Question #6
What data value represents the 25th percentile? 435 439 439 450 456 467 469 481 481 481 489 499
A.   456.3
B.   435.6
C.   484.7
D.   444.5
Question #7
481 is what percentile? 435 439 439 450 456 467 469 481 481 481 489 499
A.   96
B.   58
C.   63
D.   84
Question #8
Construct a boxplot for the following data: 8.5 14 71 77 78 89 100 124 136 150
A.   124
B.   100
C.   136
D.   88

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