Exam 4: Numerical Summary Measures

A continuous population has a mean of 210.51 and a standard deviation of 10.31.Suppose we know that the population is normally distributed.Compute the smallest interval centered on the mean that will contain 95% of the observations.

The lengths of the reigns of 50 British monarchs (in years) are summarized with the following five-number summary: ​ Xmin = 0, Q1 = 6, = 15.5, Q3 = 24, xmax = 63, = 18.92 = 18.92 ​ Based on the five-number summary, the overall shape of the lengths of these reigns appears to be:

The symbol represents the:

Marine was a black Labrador retriever that was trained to detect colorectal cancer by smelling the breath of patients with cancer.In one test to determine how well this dog could detect colorectal cancer, Marine correctly identified a bag containing the breath of a patient with colorectal cancer (from about five bags, with four containing the breath of healthy subjects) in 30 out of 33 trials.What is (the sample proportion) in this situation?

If the sample mean is greater than the sample median, the sample is:

For any set of n numbers, the sum of all n deviations about the arithmetic mean will always be:

Calculate s2 for the following sample data set: ​ ​

Calculate the mean for the following sample data set:

The _________ of a data set is the middle number when the observations are arranged in order from smallest to largest.

If a set of data contains an odd number of values and the data are ordered from smallest to largest, then:

Calculate for the following sample data set: ​ ​

The median of the lower half of the observations when arranged in ascending order is the:

It is known that the body mass index (BMI) of healthy American males follows a normal distribution, with a mean of 24.5 and a standard deviation of 3.0.Approximately what proportion of male BMI values fall below 18.5?

In general, a data set that has a very large gap between its minimum/maximum values and a very large gap between its first/third quartiles will also have:

The lengths of the reigns of 50 British monarchs (in years) are summarized with the following five-number summary: xmin = 0, Q1 = 6, = 15.5, Q3 = 24, xmax = 63 If the maximum of 63 years is accidentally recorded as 630 years, how will this affect the median?

The mode of a symmetric, bell-shaped distribution should:

What is the smallest possible value for a sample standard deviation?

The __________ of a data set, if any, is the value that occurs most often, or with the greatest frequency.

The lengths of the reigns of 50 British monarchs (in years) are summarized with the following five-number summary: xmin = 0, Q1 = 6, = 15.5, Q3 = 24, xmax = 63, = 18.92 If the maximum of 63 years is accidentally recorded as 630 years, how will this affect the mean?

Which measure of central tendency is equivalent to the 50th percentile?