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The following five-number summary for a sample of size 500 were obtained: Minimum = 250, The following five-number summary for a sample of size 500 were obtained: Minimum = 250, and Maximum = 4,950. Based on this information, if you were to construct a box and whisker plot, the value 215 is considered an outlier. and Maximum = 4,950. Based on this information, if you were to construct a box and whisker plot, the value 215 is considered an outlier.

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Which of the following is the most frequently used measure of variation?


A) the mean
B) the range
C) the variance
D) the standard deviation
E) the median

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A sample of n = 10 measurements consists of the following values: 15 12 13 16 11 12 14 15 11 13 a. Can you use Tchebysheff's Theorem to describe this data set? ______________ Why or why not? ____________________________ b. Can you use the Empirical Rule to describe this data set? ______________ Why or why not? ____________________________

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Yes; The data is not...

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A random sample of 100 foxes was examined by a team of veterinarians to determine the prevalence of a particular type of parasite. Counting the number of parasites per fox, the veterinarians found that 69 foxes had no parasites, 17 had one parasite, and so on. A frequency tabulation of the data is given here: A random sample of 100 foxes was examined by a team of veterinarians to determine the prevalence of a particular type of parasite. Counting the number of parasites per fox, the veterinarians found that 69 foxes had no parasites, 17 had one parasite, and so on. A frequency tabulation of the data is given here: What fraction of the parasite counts fall within two standard deviations of the mean? ______________ Within three standard deviations? ______________ Do these results agree with Tchebysheff's Theorem? ______________ With the Empirical Rule? ______________ What fraction of the parasite counts fall within two standard deviations of the mean? ______________ Within three standard deviations? ______________ Do these results agree with Tchebysheff's Theorem? ______________ With the Empirical Rule? ______________

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0.95; 0.96; Yes; Yes

An exam is given to both the fourth period class and the sixth period class. If a student's score is at the 30th percentile in the fourth period class but at the 60th percentile in the sixth period class, which one of the following statements is true?


A) Students in the sixth period class generally performed better on the exam than the students in the fourth period class.
B) A person whose score is at the 15th percentile in the fourth period class will have a score at the 30th percentile in the sixth period class.
C) A person whose score is at the 70th percentile in the sixth period class will have a score at the 40th percentile in the fourth period class.
D) Students in the fourth period class generally performed better on the exam than students in the sixth period class.
E) None of these.

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The mode is the sum of a data set's minimum plus maximum values, divided by 2.

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False

The difference between the largest and smallest values in an ordered array is called the interquartile range.

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According to Tchebysheff's Theorem, provided only According to Tchebysheff's Theorem, provided only , regardless of the shape of a population's frequency distribution. The proportion of observations falling within k standard deviations of the mean is: A) at most 1 - B) at least 1 - C) at most 1 - D) at least 1 - E) exactly 1 - , regardless of the shape of a population's frequency distribution. The proportion of observations falling within k standard deviations of the mean is:


A) at most 1 - According to Tchebysheff's Theorem, provided only , regardless of the shape of a population's frequency distribution. The proportion of observations falling within k standard deviations of the mean is: A) at most 1 - B) at least 1 - C) at most 1 - D) at least 1 - E) exactly 1 -
B) at least 1 - According to Tchebysheff's Theorem, provided only , regardless of the shape of a population's frequency distribution. The proportion of observations falling within k standard deviations of the mean is: A) at most 1 - B) at least 1 - C) at most 1 - D) at least 1 - E) exactly 1 -
C) at most 1 - According to Tchebysheff's Theorem, provided only , regardless of the shape of a population's frequency distribution. The proportion of observations falling within k standard deviations of the mean is: A) at most 1 - B) at least 1 - C) at most 1 - D) at least 1 - E) exactly 1 -
D) at least 1 - According to Tchebysheff's Theorem, provided only , regardless of the shape of a population's frequency distribution. The proportion of observations falling within k standard deviations of the mean is: A) at most 1 - B) at least 1 - C) at most 1 - D) at least 1 - E) exactly 1 -
E) exactly 1 - According to Tchebysheff's Theorem, provided only , regardless of the shape of a population's frequency distribution. The proportion of observations falling within k standard deviations of the mean is: A) at most 1 - B) at least 1 - C) at most 1 - D) at least 1 - E) exactly 1 -

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Mound-shaped data tend to cluster around a middle value.

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A sample of 20 observations has a standard deviation of 4. The sum of the squared deviations from the sample mean is 76.

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Suppose the standard deviation for a given sample is known to be 12. If each data value in the sample is multiplied by 3, the standard deviation will be 36.

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For distributions of data that are skewed to the left or right, the median would likely be the best measure of center.

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If the mean value of a distribution is 85 and the median is 67, the distribution must be skewed to the right.

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True

Which of the following statements is true?


A) The population mean will always be larger than the mean of a sample selected from that population.
B) The population mean will always be larger than the population median.
C) The population mean and the mean of a sample selected from that population will usually be different values.
D) The population mean will always be equal to the population median.
E) All of these.

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The expression The expression is recognizable as the formula for: A) the sample variance, computed from ungrouped data B) the population variance, computed from ungrouped data C) the sample variance, computed from grouped data D) the population variance, computed from grouped data E) the population variance, computed from ungrouped or grouped data is recognizable as the formula for:


A) the sample variance, computed from ungrouped data
B) the population variance, computed from ungrouped data
C) the sample variance, computed from grouped data
D) the population variance, computed from grouped data
E) the population variance, computed from ungrouped or grouped data

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The average score for a class of 35 students was 70. The 20 male students in the class averaged 73. The 15 female students in the class averaged:


A) 73
B) 70
C) 66
D) 60
E) 35

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The median is one of the most commonly used measures of variability.

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Expressed in percentiles, the upper quartile is the 75th percentile.

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The value of the standard deviation will always exceed that of the variance.

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In all cases, the sum of the deviations of the measurements from their mean is 0.

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