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BSTAT Study Set 1
Exam 3: Numerical Descriptive Techniques
Path 4
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Question 141
Multiple Choice
The average score for a class of 30 students was 75. The 15 male students in the class averaged 70. The 15 female students in the class averaged:
Question 142
Short Answer
Another word for the mean of a data set is the ____________________.
Question 143
Essay
Weights of Police Officers The following data represent the weights in pounds of a sample of 25 police officers: 164, 148, 137, 157, 173, 156, 177, 172, 169, 165, 145, 168, 163, 162, 174, 152, 156, 168, 154, 151, 174, 146, 134, 140, and 171. {Weights of Police Officers Narrative} Determine the location and value of the 60th percentile of the weights.
Question 144
True/False
In a histogram, the proportion of the total area which must be to the left of the median is more than 0.50 if the distribution is positively skewed.
Question 145
True/False
In a histogram, the proportion of the total area which must be to the left of the median is less than 0.50 if the distribution is negatively skewed.
Question 146
True/False
The line drawn within the box of a box plot always represents the median.
Question 147
True/False
The median of an ordered data set with 30 items would be the average of the 15
th
and the 16
th
observations.
Question 148
True/False
The coefficient of variation is a measure of variability.
Question 149
True/False
If the distribution of a data set were perfectly symmetric, the distance from Q
1
to the median would always equal the distance from Q
3
to the median in a box plot.
Question 150
Essay
Pets Survey A sample of 40 families were asked how many pets they owned. Their responses are summarized in the following table.
{Pets Survey Narrative} Explain what the mean, median, and mode tell you about this particular data set.
Question 151
True/False
The interquartile range is a measure of variability in a set of data.
Question 152
True/False
The first and second quartiles of a data set can never be equal.
Question 153
True/False
Three measures of the linear relationship between x and y are the coefficient of correlation, the coefficient of determination, and the coefficient of variation.
Question 154
Essay
Ages of Senior Citizens A sociologist recently conducted a survey of citizens over 65 years of age whose net worth is too high to qualify for Medicaid and who have no private health insurance. The ages of 22 uninsured senior citizens were as follows: 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, 80, 81, 86, 87, 91, 92, 94, and 97. {Ages of Senior Citizens Narrative} Calculate the median age of the uninsured senior citizens.
Question 155
Multiple Choice
Which of the following are measures of the linear relationship between two variables?
Question 156
True/False
The value of the standard deviation may be either positive or negative, while the value of the variance will always be positive.
Question 157
Essay
The mean of a sample of 15 measurements is 35.6 feet. Suppose that the sample is enlarged to 16 measurements, by including one additional measurement having a value of 42 feet. Find the mean of the sample of the 16 measurements.