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Mathematics
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Interactive Statistics
Quiz 3: Numerically Summarizing Data
Path 4
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Question 1
Multiple Choice
If
,
,
, ...,
are the N observations of a variable from a population, then the population mean is symbolized by
Question 2
Multiple Choice
Each year advertisers spend billions of dollars purchasing commercial time on network sports television. In the first 6 months of 1988, advertisers spent $1.1 billion. A recent article listed the top 10 leading spenders (in millions of dollars) :
Calculate the mean amount spent.
Question 3
Multiple Choice
The following data represents a random sample of 15 complaints registered with the customer service department of a store. Determine the median complaint.
Question 4
Multiple Choice
Each year advertisers spend billions of dollars purchasing commercial time on network sports television. In the first 6 months of 1988, advertisers spent $1.1 billion. A recent article listed the top 10 leading spenders (in millions of dollars) :
Calculate the median.
Question 5
Multiple Choice
Many firms use on-the-job training to teach their employees new software. Suppose you work in the personnel department of a firm that just finished training a group of its employees in new software, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean of the test scores is 79. Additional information indicated that the median of the test scores was 89. What type of distribution most likely describes the shape of the test scores?
Question 6
Multiple Choice
A severe drought affected several western states for 3 years. A Christmas tree farmer is worried about the drought's effect on the size of his trees. To decide whether the growth of the trees has been retarded, the farmer decides to take a sample of the heights of 25 trees and obtains the following results (recorded in inches) :
Which measure of central tendency would be considered the best measure to use in this problem?
Question 7
Short Answer
Calculate the mean, median, and mode for the following sample: 5, 10, 6, 100, 0, 0, 10, 0.
Question 8
Short Answer
The accompanying data set contains quiz scores for 12 students in a chemistry class: 18, 15, 5, 8, 15, 20, 2, 16, 10, 12, 20, 15. a. Find a measure of central tendency that separates the data into two groups such that each groupconsists of 50% of the scores above and 50% of the scores below that measure. b. Find a measure of central tendency that represents the quiz score that occurs most often. c. Find a measure of central tendency that represents the average of the 12 quiz scores.
Question 9
Short Answer
The high temperatures (in degrees Celsius) each day over a three week period were as follows: 17, 18, 20, 22, 21, 19, 16, 15, 18, 20, 21, 21, 22, 21, 19, 20, 19, 17, 16, 16, 17. Compute the mean, median, and mode.
Question 10
Short Answer
In a sample of 18 students at East High School the following number of days of absences were recorded for the previous semester: 4, 3, 1, 0, 4, 2, 3, 0, 1, 2, 3, 0, 4, 1, 1, 5, 1, 1. Compute the mean, median, and mode.