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

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Question #1
The brain volumes (cm3) of 27 brains have a mean of 1,394.2 cm3 and a standard deviation of 178 cm3. For such data, Brain volume of lesser than what would be significantly (or unusually) low?
A.   986.5
B.   1,038.2
C.   1,006.4
D.   1,294.4
Question #2
The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 97.35 oF and a standard deviation of 0.31 oF. What is the approximate percentage of body temperatures (or at least what percent of body temperatures are) within one standard deviation of the mean?
A.   68
B.   61
C.   83
D.   75
Question #3
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 217.2 and a standard deviation of 16.1. What is the approximate percentage of women with (or at least what percentage of women have) platelet counts within three standard deviations of the mean?
A.   92.4
B.   99.7
C.   91.6
D.   88.3
Question #4
The mean height of a basketball team is 6.2 feet with a standard deviation of 2 feet. The team's center is 7 feet tall. Find the center's z score.
A.   1.1
B.   0.2
C.   0.8
D.   0.4
Question #5
A body temperature of 99.63° F given that human body temperatures have a mean of 98.82° F and a standard deviation of 0.98°F. Determine if the value is unusual. Explain. Enter the number that is being interpreted to arrive at your conclusion rounded to the nearest hundredth.
A.   0.98
B.   0.83
C.   0.78
D.   0.76
Question #6
The test scores of 25 students are listed below. Find P89. 73, 91, 27, 87, 18, 3, 71, 94, 71, 81, 11, 3, 87, 97, 61, 27, 65, 58, 5, 80, 90, 99, 81, 36, 53
A.   90
B.   81
C.   94
D.   87
Question #7
Find the percentile for the data value. Data set: 51, 60, 77, 46, 66, 46, 92, 59, 12, 59, 76, 70, 20, 99, 20, 77; data value: 92
A.   90
B.   88
C.   76
D.   82
Question #8
Which is better, a score of 98 on a test with a mean of 75 and a standard deviation of 9, or a score of 259 on a test with a mean of 247 and a standard deviation of 25? Enter the better test score.
A.   88
B.   96
C.   98
D.   84
Question #9
The weekly salaries (in dollars) of 24 randomly selected employees of a company are shown below. Construct a boxplot for the data set. Enter the minimum value. 1,374, 3,203, 371, 2,674, 1,236, 1,010, 1,424, 1,164, 740, 2,386, 3,958, 376, 3,498, 1,023, 1,002, 2,163, 286, 3,828, 3,248, 515, 2,721, 1,880, 1,614, 1,534
A.   515
B.   371
C.   286
D.   376

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