Exam 3: Numerical Descriptive Measures

Which descriptive summary measures are considered to be resistant statistics?

Instruction 3-3 The stem-and-leaf display below represents the number of vitamin supplements sold by a health food store in a sample of 16 days. Stem Leaves 1 99 2 0023 2 567 3 034 3 568 4 1 Note (1): 1H means the "high teens" = 15,16,17,18,or 19;2L means the "low twenties" = 20,21,22,23,or 24;2H means the "high twenties" = 25,26,27,28,or 29,etc. Note (2): For this sample,the sum of the observations is 448,the sum of the squares of the observations is 13,356,and the sum of the squared differences between each observation and the mean is 812. -Referring to Instruction 3-3,the median number of vitamin supplements sold in this sample is ________.

The smaller the spread of scores around the arithmetic mean

In right-skewed distributions,the distance from Q3 to the largest observation exceeds the distance from the smallest observation to Q1.

Which of the following statements about the median is NOT true?

Which of the following is NOT a measure of central tendency?

Instruction 3-5 The rate of return of a listed Australian company over the past 15 years are: 3.17%,4.43%,5.93%,5.43%,7.29%,8.21%,6.23%,5.23%,4.34%,6.68%,7.14%,-5.56%,-5.23%,-5.73%,-10.34%. -Referring to Instruction 3-5,what is the shape of the distribution for the rate of return?

Instruction 3-6 The rates of return of an Internet Service Provider over a 10 year period are: 10.25%,12.64%,8.37%,9.29%,6.23%,42.53%,29.23%,15.25%,21.52%,-2.35%. -Referring to Instruction 3-6,what is the shape of the distribution for the rate of return?

The vertical line drawn within the box of the boxplot always represents the arithmetic mean.

If the arithmetic mean of a numerical data set exceeds the median,the data are considered to be ________ skewed.

Instruction 3-2 The data below represents the amount of grams of carbohydrates in a serving of breakfast cereal in a sample of 11 different servings. $\text{11 15 23 29 19 22 21 20 15 25 17}$ -Referring to Instruction 3-2,the range in the carbohydrate amounts is ________ grams.

Instruction 3-7 Given below is the frequency distribution of the 12-month rate of return achieved by 30 stocks. 12-month Rate of Return Number of Funds -0.10 but less than 0.0 3 0.0 but less than 0.1 5 0.1 but less than 0.2 6 0.2 but less than 0.3 10 0.3 but less than 0.4 6 -Referring to Instruction 3-7,what is the approximate mean rate of return?

Instruction 3-6 The rates of return of an Internet Service Provider over a 10 year period are: 10.25%,12.64%,8.37%,9.29%,6.23%,42.53%,29.23%,15.25%,21.52%,-2.35%. -Referring to Instruction 3-6,compute the geometric mean rate of return.

Which of the following is sensitive to extreme values?

Instruction 3-4 The ordered array below represents the number of cargo manifests approved by customs inspectors at the Port of Brisbane in a sample of 35 days. 16,17,18,18,19,20,20,21,21,21,22,22,22,22,23,23,23,23,24,24,24,25,25,26,26,26,27,28,28,29,29,31,31,32,32 Note: For this sample,the sum of the observations is 838,the sum of the squares of the observations is 20,684, and the sum of the squared differences between each observation and the mean is 619.89. -Referring to Instruction 3-4,the interquartile range of the customs data is ________.

Data on the change in the cost of tuition,a shared dormitory room,and the most popular meal plan from one academic year to the next academic year for a sample of 100 public universities were collected.Below is the boxplot for the change in cost in dollars.The distribution of the change in cost is

Instruction 3-2 The data below represents the amount of grams of carbohydrates in a serving of breakfast cereal in a sample of 11 different servings. $\text{11 15 23 29 19 22 21 20 15 25 17}$ -Referring to Instruction 3-2,the arithmetic mean carbohydrates in this sample is ________ grams.

According to the Chebyshev rule,at least what percentage of the observations in any data set are contained within a distance of 2 standard deviations around the mean?

Instruction 3-4 The ordered array below represents the number of cargo manifests approved by customs inspectors at the Port of Brisbane in a sample of 35 days. 16,17,18,18,19,20,20,21,21,21,22,22,22,22,23,23,23,23,24,24,24,25,25,26,26,26,27,28,28,29,29,31,31,32,32 Note: For this sample,the sum of the observations is 838,the sum of the squares of the observations is 20,684, and the sum of the squared differences between each observation and the mean is 619.89. -Referring to Instruction 3-4,the range of the customs data is ________.

Instruction 3-2 The data below represents the amount of grams of carbohydrates in a serving of breakfast cereal in a sample of 11 different servings. $\text{11 15 23 29 19 22 21 20 15 25 17}$ -Referring to Instruction 3-2,the third quartile of the carbohydrate amounts is ________ grams.