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Questions and Answers

(159 solutions)

High blood pressure is unhealthy. Here are the results of one of the studies that link high blood pressure to death from cardiovascular disease. The researchers classified a group of white males aged 35 to 64 as having Low blood pressure or High, then followed the subjects for five years.

The following two-way table gives the results of the study:

Blood Pressure
LowHighTotal
Cardiovascular Death?Yes

21

55

76
No

2655

3283

5938
Total267633386014

In this example, it would be appropriate to calculate:

 conditional column percentages...

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Here again are the boxplots showing amount spent for vehicles in two neighboring locations (in thousands of dollars).

The cost of vehicles purchased in Metropolis and Suburbia are displayed horizontally in side-by-side boxplots.  The income scale is from 0 to 60, measured in thousands of dollars.        Metropolis has a minimum of about $15 thousand, the low end of the box is $25 thousand, the median is $30 thousand, the high end of the box is $45 thousand, and the maximum is $60 thousand.         Suburbia has a minimum of about $20 thousand, the low end of the box is $25 thousand, the median is $30 thousand, the high end of the box is $38 thousand, and the maximum is $40 thousand.

Which city has a greater percentage of vehicles which cost between $30,000 and $50,000?

 SuburbiaThis is correct. As the picture below shows, for Suburbia, $30,000 is the median and $50,000 is above the maximum, and therefore 50% of the vehicles in Suburbia cost between $30,000 and $50,000. For Metropolis, $30,000 is the median and $50,000 is between Q3 and the maximum and th...

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Here again are the boxplots showing amount spent for vehicles in two neighboring locations (in thousands of dollars).

The cost of vehicles purchased in Metropolis and Suburbia are displayed horizontally in side-by-side boxplots.  The income scale is from 0 to 60, measured in thousands of dollars.        Metropolis has a minimum of about $15 thousand, the low end of the box is $25 thousand, the median is $30 thousand, the high end of the box is $45 thousand, and the maximum is $60 thousand.         Suburbia has a minimum of about $20 thousand, the low end of the box is $25 thousand, the median is $30 thousand, the high end of the box is $38 thousand, and the maximum is $40 thousand.

Which city has the greater percentage of vehicles which cost below $30,000?

 Both locations have the same percentage of vehicles which cost below $30,000...

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The boxplots below show amount spent for vehicles in two neighboring locations (in thousands of dollars).

The cost of vehicles purchased in Metropolis and Suburbia are displayed horizontally in side-by-side boxplots.  The income scale is from 0 to 60, measured in thousands of dollars.        Metropolis has a minimum of about $15 thousand, the low end of the box is $25 thousand, the median is $30 thousand, the high end of the box is $45 thousand, and the maximum is $60 thousand.         Suburbia has a minimum of about $20 thousand, the low end of the box is $25 thousand, the median is $30 thousand, the high end of the box is $38 thousand, and the maximum is $40 thousand.

Which location has more vehicles?

   It is impossible to tell from the boxplots.Good job! A boxplot only displays the five-number summary of a dataset. A boxplot does not indicate how many data values might have been in the dataset. So, in this case, the boxplots only indicate the amount spent for the vehicles in...

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A student survey was conducted in a major university, where data were collected from a random sample of 750 undergraduate students. One variable that was recorded for each student was the student's answer to the question: “What region of the country did you live in just prior to enrolling in this university? Northeast/Southeast/Northwest/Southwest/Midwest/Outside the U.S.”

These data would be best displayed using which of the following?

   pie chart...

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The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a mean of $235 and a standard deviation of $20.

According to the Standard Deviation Rule, in a semester, most (95%) of the students spent on textbooks:

  between 195 and 275 dollars....

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For our dataset, 22, 22, 25, 40, 42, 45, 46, 53, 54, 57, 63, the standard deviation is 14.3, what does the standard deviation tell us?

The standard deviation measures the spread by reporting a typical (average) distance between the data points and their average.Correct! The idea behind the standard deviation is to quantify the spread of a distribution by measuring how far the observations are from their mean. The standard devi...

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Using a sample of data from a dataset, the ages of 11 respondents, calculate the measures of center and the measures of spread.

40, 42, 45, 46, 53, 54, 22, 57, 63, 22, 25

The mode is 22, the mean is 42.6, the median is 45, the range is 41, and the IQR is 29Correct! The mode is the number that occurs most often, the mean is the average, the median is the number in the middle, the range is the spread between the high and low numbers, and the IQR is the difference betwe...

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Measures of spread refer to the range and the inter-quartile range. Using a sample of this dataset, the ages of 11 respondents, calculate the measures of spread.

40, 42, 45, 46, 53, 54, 22, 57, 63, 22, 25

The range is 41 and the IQR is 29Correct! The range is the spread between the highest and lowest numbers. The The inter-quartile range is the difference between the first and third quartiles. Great job!...

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Using a sample of this dataset, which are the ages of 11 respondents, transform it into a stemplot: 40, 42, 45, 46, 53, 54, 22, 57, 63, 22, 25.

Correct! The first digit is the stem and the right-most digit is the leaf. Excellent work!...

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