Exam 3: Descriptive Statistics: Numerical

In 2012, the average donation to the Help Way was $225 with a standard deviation of $45.In 2013, the average donation was $400 with a standard deviation of $60.In which year did the donations show a more dispersed distribution?

Descriptive statistics for the closing stock prices of two companies for several trading periods are shown below. Baba, Inc. Mean 4.04 Standard Error 0.11 Median 4.07 Mode 3.59 Standard Deviation 1.13 Sample Variance 1.28 Kurtosis -1.10 Skewness 0.04 Range 3.98 Minimum 2.00 Maximum 5.98 Sum 416.05 Count 103 Maman, Inc. Mean 16.41 Standard Error 0.22 Median 16.83 Mode 16.59 Standard Deviation 2.34 Sample Variance 5.48 Kurtosis 9.10 Skewness -2.85 Range 12.57 Minimum 6.29 Maximum 18.86 Sum 1919.63 Count 117 ​ a. Which company's stock price has a more dispersed distribution? Explain. Show your complete work and support your answer. b. Compare the Skewness of the two and explain what is indicated.

The amount of time that a sample of students spends watching television per day is given below. Student Time (In Minutes) 1 40 2 28 3 71 4 48 5 49 6 35 7 40 8 57 ​ a. Compute the mean. b. Compute the median. c. Compute the standard deviation. d. Compute the 75th percentile.

If a data set has an even number of observations, the median

The closing stock price of MNM Corporation for the last 7 trading days is shown below. Day Stock Price 1 84 2 87 3 84 4 88 5 85 6 90 7 91 The mode is

A numerical measure of linear association between two variables is the

The starting salaries of a sample of college students are given below. Starting Salary ( In \ 1,000) Frequency 20-24 1 25-29 3 30-34 7 35-39 6 40-44 2 45-49 1 ​ a. Compute the mean. b. Compute the variance. c. Compute the standard deviation. d. Compute the coefficient of variation.

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 following observations are given for two variables. 5 2 8 12 18 3 20 6 22 11 30 19 10 18 7 9 ​ a. Compute and interpret the sample covariance for the above data. b. Compute the standard deviation for x. c. Compute the standard deviation for y. d. Compute and interpret the sample correlation coefficient.

The following data represent the daily supply (y in thousands of units) and the unit price (x in dollars) for a product. Daily Supply (y) Unit Price (x) 5 2 7 4 9 8 12 5 10 7 13 8 16 16 16 6 ​ a. Compute and interpret the sample covariance for the above data. b. Compute the standard deviation for the daily supply. c. Compute the standard deviation for the unit price. d. Compute and interpret the sample correlation coefficient.

​The most frequently occurring value of a data set is called the

Which of the following symbols represents the standard deviation of the population?

The median is a measure of

​In computing descriptive statistics for grouped data, the data values in each class are approximated using the

A group of students had dinner at a local restaurant.The total bill for the dinner was $414.70.Each student paid his/her equal share of the bill, which was $18.85.How many student's were at the dinner?

Which of the following is a measure of variability?

If the coefficient of variation is 40% and the mean is 70, then the variance is

Which of the following is not a measure of variability?

The nth root of the product of the n observations is the

The variance of a sample of 169 observations equals 576.The standard deviation of the sample equals