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Exam 3: Data Description

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Question 31

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Find the mode of the data in the following stem-and-leaf plot. The leaf represents the one: $\begin{array}{l|l}\hline 0 & 157 \\1 & 03448 \\2 & 68\end{array}$ git.

A) 12.3
B) 14
C) 13.3
D) 13.8

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Question 32

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The following data represent the total price, in dollars, of 20 randomly-selected gasoline purchases at a certain convenience store. $\begin{array}{llllllllll}\hline 31.87 & 41.83 & 24.81 & 29.28 & 46.20 & 37.55 & 32.13 & 33.27 & 49.22 & 30.25 \\40.76 & 38.68 & 25.97 & 23.11 & 31.59 & 41.16 & 47.31 & 43.15 & 37.85 & 47.33 \\\hline\end{array}$ Find the median price for these purchases.

A) $37.70
B) $26.11
C) $60.14
D) $36.67

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Question 33

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Find the sample variance for the following data set: 25 20 19 15 31

A data set contains three unique values. Which of the following must be true?

Indicate which student has the higher $z$ score. $\begin{array} { l l l l } \text { Art Major } & X = 46 & \bar { X } = 50.5 & s = 5.2 \\ \text { Theater Major } & X = 70 & \bar { X } = 75.1 & s = 7.3 \end{array}$

The coefficient of variation for a data set is the mean divided by the standard deviation, expressed as a percentage.

A data set has a median of 84 , and six of the numbers in the data set are less than median. The data set contains a total of $n$ numbers. If $n$ is odd, and exactly one number in the data set is equal to 84 , what is the value of

Find the mean of the data in the following stem-and-leaf plot. The leaf represents the ones digit. $\begin{array}{l|l}\hline 1 & 223 \\2 & 34888 \\3 & 7 \\4 & 1\end{array}$

What is the median of the following data set? 6, 9, 13, 14, 18

If a data set has 16 values and a standard deviation 9.4, then the variance is

A characteristic or measure obtained by using all the data values for a specific population is called a .

A soft-drink bottling company fills and ships soda in plastic bottles with a target volume of 354 milliliters. The filling machinery does not deliver a perfectly consistent volume of liquid to each bottle, and the three quartiles for the fill volume are $Q _ { 1 } = 352 , Q _ { 2 } = 356$ , and $Q _ { 3 } = 359$ A fill volume of 344 mL is considered low. Would a fill volume of 344 mL be considered an outlier?

$\begin{array}{l}\text { For the data set below, find the IQR. }\\\begin{array} { l l l l l l l l l l l } \hline 65 & 74 & 74 & 68 & 66 & 73 & 63 & 72 & 62 & 75 & 75 \\\hline\end{array}\end{array}$

The variance of a data set is the square root of the standard deviation.

The table below lists the populations, in thousands, of several rural western counties. Wh: median population? $\begin{array}{cc}\hline \text { County } & \text { Population (thousands) } \\\hline \text { Aldridge } & 27 \\\text { Cleveland } & 25 \\\text { McCarthy } & 24 \\\text { Pope } & 11 \\\text { Sorrell } & 15 \\\text { Wilson } & 19\end{array}$ is the

A data set has a median of 76 , and eighteen of the numbers in the data set are less than median. The data set contains a total of $n$ numbers. If $n$ is even, and none of the numbers in the data set is equal to 76 , what is the value of

Find the median for the following data set: 27 21 15 25 15

A distribution in which approximately 68% of the data values fall within one standard deviation of the mean behaves according to

$\begin{array}{l}\text { Use the given frequency distribution to approximate the mean. }\\\begin{array} { c c } \hline \text { Class } & \text { Frequency } \\\hline 0 - 9 & 18 \\10 - 19 & 18 \\20 - 29 & 9 \\30 - 39 & 9 \\40 - 49 & 9\end{array}\end{array}$

If a set of data has 49 values with a variance of 4.4, then the standard deviation is .