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Exam 2: Describing Data With Numerical Measures

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

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

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:

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

Which of the following statements is true?

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 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? ____________________________

The expression is recognizable as the formula for:

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? ______________

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

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

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

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

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

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

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.

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.

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