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Exam 3: Numerically Summarizing Data

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Question 51

Multiple Choice

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Which measure of central tendency is more representative of the typical observation if the graph of the data isskewed to the left?

A) Median
B) Mean
C) Mode
D) Midrange

E) A) and D)
F) A) and C)

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Question 52

Multiple Choice

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0.23, 0.12, 0.554, 0.379, 0.575, 0.257

A) 0.455
B) 0.575
C) 0.12
D) 0.353 Find the sample standard deviation.

E) A) and C)
F) All of the above

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Question 53

Multiple Choice

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In the computation of the sample standard variance, how many degrees of freedom are there in a data set thathas 15 data values?

The heights of ten male students (in inches) in a college biology class are listed below. Find the mean.71 67 67 72 76 72 73 68 72 72

11, 11, 11, 14, 17, 17, 17

13, 14, 15, 16, 17

Many firms use on-the-job training to teach their employees new software. Suppose you work in the personneldepartment of a firm that just finished training a group of its employees in new software, and you have beenrequested to review the performance of one of the trainees on the final test that was given to all trainees. Themean and standard deviation of the test scores are 80 and 3, respectively, and the distribution of scores is bellshaped. What percentage of test-takers scored better than a trainee who scored 71?

A 1-pound bag of peanuts contained 430 peanuts. The distribution of weights (in grams) of the peanuts isgiven below . What is the sample standard deviation of the weight of a peanut? $\begin{array} { | l | l | } \hline \begin{array} { l } \text { Weights } \\\text { (grams) }\end{array} & { \text { Frequency } } \\\hline 0.755 - 0.814 & 3 \\\hline 0.815 - 0.874 & 2 \\\hline 0.875 - 0.934 & 2 \\\hline 0.935 - 0.994 & 2 \\\hline 0.995 - 1.054 & 168 \\\hline 1.055 - 1.114 & 241 \\\hline 1.115 - 1.174 & 12 \\\hline\end{array}$

A pharmaceutical testing company wants to test a new cholesterol drug. The average cholesterol of the targetpopulation is 200 mg and they have a standard deviation of 25 mg. The company wished to test a sample ofpeople who fall between 1.5 and 3 z-scores above the mean. Into what range must a candidateʹs cholesterollevel be in order for the candidate to be included in the study?

The April precipitation amounts (in inches) for 10 cities are listed below. Find the range of the data.2.0 3.2 1.8 2.9 0.9 4.0 3.3 2.9 3.6 0.8

11, 5, 11, 13, 16, 13, 19, 12, 12, 19

The following data represent a random sample of 15 complaints registered with the customer servicedepartment of a store. Determine the mode complaint. $\begin{array}{lll}\text { defective product } & \text { rude personnel } & \text { messy store } \\\text { other } & \text { defective product } & \text { defective product } \\\text { other } & \text { excessive waiting time } & \text { other } \\\text { defective product } & \text { other } & \text { other } \\\text { rude personnel } & \text { defective product } & \text { other }\end{array}$

The top speeds (in mph) for a sample of five new automobile brands are listed below. Calculate the standarddeviation of the speeds.160, 125, 190, 185, 105

Which measure of central tendency may not exist for all numeric data sets?

9, 20, 9, 20, 9, 20, 9, 20

For the following data, approximate the mean weekly grocery bill. $\begin{array} { c | c } \text { Bill (in dollars) } & \text { Frequency } \\\hline 135 - 139 & 13 \\140 - 144 & 7 \\145 - 149 & 11 \\150 - 154 & 18 \\155 - 159 & 9\end{array}$

112, 494, 230, 565, 401, 257

The grades are given for a student for a particular term. Find the grade point average. The point values ofgrades are given below.A : 4, B : 3, C : 2, D : 1, F : 0 $\begin{array} { c c } \text { Grade } & \text { Credit Hours } \\\hline \text { C } & 3 \\\text { F } & 1 \\\text { D } & 2 \\\text { F } & 2 \\\text { F } & 3\end{array}$

The percentage of measurements that are below the 88th percentile is

For the following data, approximate the mean number of unused vacation days at the end of the year. $\begin{array} { c | c } \text { Days } & \text { Frequency } \\\hline 1 - 2 & 2 \\3 - 4 & 21 \\5 - 6 & 20 \\7 - 8 & 10 \\9 - 10 & 30\end{array}$