Exam 3: Numerical Descriptive Measures

The Z score of an observation measures how many standard deviations is the value from the mean.

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. 11 15 23 29 19 22 21 20 15 25 17 -Referring to Instruction 3-2,the five-number summary of the carbohydrate amounts consists of ________,________,________,________,________.

Instruction 3-8 Given below is the frequency distribution of the number of defective tomatoes in 50 different shipments. Defective Items Frequency 0 but less than 5 35 5 but less than 10 7 10 but less than 15 5 15 but less than 20 2 20 but less than 25 1 25 but less than 30 0 -Referring to Instruction 3-8,what is the approximate mean number of defective tomatoes?

Instruction 3-4B The stem-and-leaf display below represents the number of cargo manifests approved by customs inspectors of the Port of Brisbane in a sample of 35 days. STEM LEAVES 1 67889 2 0011122223333444 2 5566678899 3 1122 -Referring to Instruction 3-4B,construct a box-and-whisker plot of this sample.

According to the empirical rule,if the data form a "bell-shaped" normal distribution,________ percent of the observations will be contained within 2 standard deviations around the arithmetic mean.

Instruction 3-1 Health care issues are receiving much attention in both academic and political arenas.A sociologist recently conducted a survey of citizens over 60 years of age who have no private health insurance.The ages of 25 uninsured senior citizens were as follows: 60 61 62 63 64 65 66 68 68 69 70 73 73 74 75 76 76 81 81 82 86 87 89 90 92 -Referring to Instruction 3-1,identify the interquartile range of the ages of the uninsured senior citizens.

The coefficient of variation is a measure of relative variation.

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 arithmetic mean of the customs data is ________.