Exam 3: Descriptive Statistics: Numerical Measures

Descriptive statistics for the closing stock prices of two companies for several trading periods are shown below. Baba, Inc. Maman, Inc. Mean 4.00 Standard Error 0.11 Median 3.92 Mode 4.19 Standard Deviation 1.12 Sample Variance 1.25 Kurtosis -1.15 Skewness 0.08 Range 3.95 Minimum 2.03 Maximum 5.98 Sum 436.32 Count 109 Mean 15.91 Standard Error 0.29 Median 16.59 Mode 15.58 Standard Deviation 3.21 Sample Variance 10.31 Kurtosis 3.52 Skewness -2.09 Range 13.45 Minimum 5.55 Maximum 18.99 Sum 1972.61 Count 124 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.

Exhibit 3-2 A researcher has collected the following sample data 5 12 6 8 5 6 7 5 12 4 -Refer to Exhibit 3-2. The 75th percentile is

Last semester grades of Michael, a freshman at a local college are shown below. Course Credit Hours Grades Chemistry 5 C Calculus 5 English 4 Music 3 P.E 1 The local university uses a 4 point grading system, i.e., A = 4, B = 3, C = 2, D = 1, F = 0. Compute Michael's semester grade point average.

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

Compute the weighted mean for the following data. W eight ) 9 10 8 12 5 4 3 5 2 3

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 class width for this distribution

The value which has half of the observations above it and half the observations below it is called the

When the data are skewed to the right, the measure of Skewness will be

The following data show the yearly salaries of a sample of EMBA graduates. EMBA Student Salary in \ 1,000) 88 97 90 110 114 98 92 95 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 the fall semester of 2013, the average Graduate Management Admission Test GMAT) of the students at a local college was 500 with a standard deviation of 80. In the fall of 2014, the average GMAT was 560 with a standard deviation of 84. Which year's GMAT scores show a more dispersed distribution?

The variance can never be

Marissa, a freshman at a local college, just completed 18 credit hours. Her grade report is presented below. Course Credit Hours Grade Chemistry 5 Calculus 5 English 4 Music 3 . 1 The local university uses a 4 point grading system, i.e., A = 4, B = 3, C = 2, D = 1, F = 0. Compute Marissa's semester grade point average.

Which of the following is a measure of dispersion?

The price of a selected stock over a five day period is shown below. 17, 11, 13, 17, 16 Using the above data, compute the mean, the median, and the mode.

The hourly wages of a sample of 130 system analysts are given below. mean = 60 range = 20 Mode = 73 variance = 324 Median = 74 The coefficient of variation equals

The following frequency distribution shows the yearly tuition in $1,000s) of a sample of private colleges. Ymarly Tuitim Frequency 12-16 5 17-21 4 22-26 3 27-31 2 For the above data, compute the mean yearly tuition. Give your answer in dollars.)

Exhibit 3-4 The following is the frequency distribution for the speeds of a sample of automobiles traveling on an interstate highway. Speed Miles per Hour Frequency 50-54 2 55-59 4 60-64 5 65-69 10 70-74 9 75-79 5 35 -Refer to Exhibit 3-4. The variance is

Exhibit 3-5 You are given the following frequency distribution. Class Frequency 10-14 1 15-19 2 20-24 5 25-29 8 30-34 4 -Refer to Exhibit 3-5. The standard deviation is

Which of the following symbols represents the variance of the population?

Since the population size is always larger than the sample size, then the sample statistic