Exam 3: Descriptive Statistics: Numerical Measures

The variance of the sample

Which of the following provides a measure of central location for the data?

The interquartile range is

In a statistics class, the average grade on the final examination was 75 with a standard deviation of 5. Use Chebyshev's theorem to answer the following questions. a. At least what percentage of the students received grades between 50 and 100? b. Determine an interval for the grades that will be true for at least 70% of the students. Hint: First, compute the Z-score.)

The measure of location which is the most likely to be influenced by extreme values in the data set is the

Exhibit 3-1 The following data show the number of hours worked by 200 statistics students. Number of Hours Frequency 0-9 40 10-19 50 20-29 70 30-39 40 -Refer to Exhibit 3-1. The cumulative relative frequency for the class of 10 - 19

The frequency distribution below shows the monthly expenditure on gasoline for a sample of 14 individuals. Expenditure Frequency 55-59 2 60-64 3 65-69 4 70-74 3 75-79 2 a. Compute the mean. b. Compute the standard deviation.

The grade point average of the students at UTC is 2.80 with a standard deviation of 0.84. The grade point average of students at UTK is 2.4 with a standard deviation of 0.84. Which university shows a more dispersed grade distribution?

A measure of location that is calculated by finding the nth root of the product of the n values is known as

Exhibit 3-1 The following data show the number of hours worked by 200 statistics students. Number of Hours Frequency 0-9 40 10-19 50 20-29 70 30-39 40 -Refer to Exhibit 3-1. The number of students working 19 hours or less

If index i which is used to determine the location of the pth percentile) is not an integer, its value should be

Consider the data in the following frequency distribution. Assume the data represent a population. Class Frequency 2-6 2 7-11 3 12-16 4 17-21 1 For the above data, compute the following. a. The mean b. The variance c. The standard deviation

The median of a sample will always equal the

The following data show the yearly salaries of a sample of MBA graduates. MBA Student Salary in \ 1,000) 78 87 80 100 104 88 82 85 a. Compute the mean yearly salary and give your answer in dollars. b. Compute the standard deviation and give your answer in dollars. c. Compute the 75th percentile and give your answer in dollars. Fully explain what the value that you have determined indicates.

In 2013, the average donation to the Help Way was $225 with a standard deviation of $45. In 2014, the average donation was $400 with a standard deviation of $60. In which year did the donations show a more dispersed distribution?

The Michael Painting Company has purchased paint from several suppliers. The purchase price per gallon and the number of gallons purchased are shown below. $\begin{array}{ccc}\text { Supplier }&\text { Price Per Gallon \$) }&\text { Number of Gallons }\\\mathrm{A} & 23 & 700 \\\mathrm{~B} & 25 & 200 \\\mathrm{C} & 29 & 100 \\\mathrm{D} & 27 & 200\end{array}$ Compute the weighted average price per gallon.

The measure of dispersion that is influenced most by extreme values is

If the mean of a data set is zero, then the standard deviation

In a five number summary, which of the following is not used for data summarization?

In Chattanooga, the average donation to the Community Kitchen was $900 with a standard deviation of $180. In Nashville, the average donation was $1,600 with a standard deviation of $240. In which city do the donations show a more dispersed distribution?