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mathematics
survey of mathematics
Questions and Answers of
Survey of Mathematics
The salaries of 10 employees of a small company follow. $32,000 . . . . . . . . $68,000$29,000 . . . . . . . . $28,000$35,000 . . . . . . . . $31,000$30,000 . . . . . . . . $85,000$30,000 . . .
To get a grade of B, a student must have a mean average of 80 or greater. Jim has a mean average of 79 for 10 quizzes. He approaches his teacher and asks for a B, reasoning that he missed a B by only
In 2012, the National Center for Health Statistics indicated a record “average life expectancy” of 78.8 years for the total U.S. population. The average life expectancy for men was 76.4 years,
The mean is the “most sensitive” average because it is affected by any change in the data.(a) Determine the mean, median, mode, and midrange for 1, 2, 3, 5, 5, 7, 11.(b) Change the 7 to a 10 in
The amount of money Stephanie collected in tips in each of seven days is $51, $70, $54, $28, $105, $64, $83. Determine the mean, median, mode, and midrange.
The total cholesterol level of 10 patients of Dr. Novak are 176, 202, 285, 153, 200, 182, 248, 132, 214, and 195. Determine the(a) Mean.(b) Median. (c) Mode. (d) Midrange.
Determine the mean, median, mode, and midrange of the set of data. Where appropriate, round your answer to the nearest tenth.5, 15, 5, 15, 5, 15
Determine the mean, median, mode, and midrange of the set of data. Where appropriate, round your answer to the nearest tenth.6, 8, 12, 13, 11, 13, 15, 17
Determine the mean, median, mode, and midrange of the set of data. Where appropriate, round your answer to the nearest tenth.16, 14, 20, 22, 21, 29, 385, 50, 47, 18
Determine the mean, median, mode, and midrange of the set of data. Where appropriate, round your answer to the nearest tenth.1, 7, 11, 27, 36, 14, 12, 9, 1
Determine the mean, median, mode, and midrange of the set of data. Where appropriate, round your answer to the nearest tenth.40, 50, 30, 60, 90, 100, 140
Determine the mean, median, mode, and midrange of the set of data. Where appropriate, round your answer to the nearest tenth.1, 3, 5, 7, 9, 11, 13, 15
Determine the mean, median, mode, and midrange of the set of data. Where appropriate, round your answer to the nearest tenth.1, 1, 1, 1, 4, 4, 4, 4, 6, 8, 10, 12, 15, 21
Determine the mean, median, mode, and midrange of the set of data. Where appropriate, round your answer to the nearest tenth.81, 87, 99, 60, 105, 57, 101
Determine the mean, median, mode, and midrange of the set of data. Where appropriate, round your answer to the nearest tenth.4, 6, 7, 7, 7, 9, 9
Determine the mean, median, mode, and midrange of the set of data. Where appropriate, round your answer to the nearest tenth.9, 10, 10, 12, 14, 14, 14, 25, 27
Fill in the blank with an appropriate word, phrase, or symbol(s).(a) Another name for the 25th percentile is the quartile _____________.(b) Another name for the 50th percentile is the quartile
Fill in the blank with an appropriate word, phrase, or symbol(s).(a) The symbol for the sample mean is ___________ .(b) The symbol for the population mean is ____________ .
Fill in the blank with an appropriate word, phrase, or symbol(s).The measures of position that divide a set of data into 100 equal parts are called __________.
Fill in the blank with an appropriate word, phrase, or symbol(s).The measures of position that divide a set of data into four equal parts are called __________.
Fill in the blank with an appropriate word, phrase, or symbol(s).The value halfway between the lowest and highest values in a set of data is called the _________.
Consider the fol-lowing average monthly high temperature in July for 40 selected U.S. cities(a) Construct a frequency distribution. Let the first class be 58–62.(b) Construct a histogram of the
Consider the following set of data.(a) Construct a frequency distribution letting each class have a width of 1. (b) Construct a histogram of the frequency distribution. (c) Construct a
Fill in the blank with an appropriate word, phrase, or symbol(s).A line graph with observed values on its horizontal scale and frequencies on its vertical scale is called a frequency _____________ .
Fill in the blank with an appropriate word, phrase, or symbol(s).A bar graph with observed values on its horizontal scale and frequencies on its vertical scale is called a(n) _____________ .
Create a graph with the given properties. There are many possible answers for each problem.Eight vertices and one bridge.
Create a graph with the given properties. There are many possible answers for each problem.Seven vertices and one bridge.
Create a graph with the given properties. There are many possible answers for each problem.Four odd vertices.
Create a graph with the given properties. There are many possible answers for each problem.Two even and two odd vertices.
Create a graph with the given properties. There are many possible answers for each problem.Two even vertices.
Create a graph with the given properties. There are many possible answers for each problem.Two odd vertices.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A bridge is an edge that, if removed from a connected graph, would create a(n) _________ graph.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The number of edges that connect to a vertex is called the __________ of the vertex.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A path that begins and ends with the same vertex is called a(n) _______________ .
Fill in the blanks with an appropriate word, phrase, or symbol(s).A sequence of adjacent vertices and the edges connecting them is called a(n) _____________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).An edge that connects a vertex to itself is called a(n) _____________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A line segment in a graph is called a(n) _________ .
Fill in the blanks with an appropriate word, phrase, or symbol(s).A point in a graph is called a(n) ____________ .
Fill in the blanks with an appropriate word, phrase, or symbol(s).A finite set of points connected by line segments is called a(n) ___________ .
Six students provided the length of time they studied for a sociology exam and the grade they received.(a) Construct a scatter diagram placing the time studied on the horizontal axis. (b) Use
What percent of head circumferences were less than 50 cm?Assume that anthropologists have determined that the akidolestes, a small primitive mammal believed to have lived with the dinosaurs, had a
What percent of head circumferences were greater than 48.25 cm?Assume that anthropologists have determined that the akidolestes, a small primitive mammal believed to have lived with the dinosaurs,
What percent of head circumferences were greater than 35.75 cm?Assume that anthropologists have determined that the akidolestes, a small primitive mammal believed to have lived with the dinosaurs,
What percent of head circumferences were between 36 and 53 cm?Assume that anthropologists have determined that the akidolestes, a small primitive mammal believed to have lived with the dinosaurs, had
Use the following data on weekly salaries at Donovan’s Construction Company.What salary represents one standard deviation above the mean? First quartile Third quartile $825 79th percentile $832
Use the following data on weekly salaries at Donovan’s Construction Company.If the company has 100 employees, what is the total weekly salary of all employees? First quartile Third quartile $825
Use the following data on weekly salaries at Donovan’s Construction Company.About what percent of employees’ salaries was less than $832? First quartile Third quartile $825 79th percentile $832
Use the following data on weekly salaries at Donovan’s Construction Company.About what percent of employees’ salaries exceeded $770? First quartile Third quartile $825 79th percentile $832 $770
Use the following data on weekly salaries at Donovan’s Construction Company.What salary did half the employees exceed? First quartile Third quartile $825 79th percentile $832 $770 $820 Mean Median
Use the following data on weekly salaries at Donovan’s Construction Company.What is the most common salary? First quartile Third quartile $825 79th percentile $832 $770 $820 Mean Median Mode
Use the set of dataConstruct the following.A frequency polygon of the frequency distribution on the same set of axes as the histogram. 26 28 35 46 49 56 26 30 36 46 49 58 26 32 40 47 50 58 44 47 52
Use the set of dataConstruct the following.A histogram of the frequency distribution. 26 28 35 46 49 56 26 30 36 46 49 58 26 32 40 47 50 58 44 47 52 26 32 62 27 35 46 47 54 66
Use the set of dataConstruct the following.A frequency distribution; let the first class be 25–30. 26 28 35 46 49 56 26 30 36 46 49 58 26 32 40 47 50 58 44 47 52 26 32 62 27 35 46 47 54 66
For the set of data 27, 43, 43, 45, 52, determine theStandard deviation.
For the set of data 27, 43, 43, 45, 52, determine theRange.
For the set of data 27, 43, 43, 45, 52, determine theMidrange.
For the set of data 27, 43, 43, 45, 52, determine theMode.
A club consists of 15 people including Ali, Kendra, Ted, Alice, Marie, Dan, Linda, and Frank. From the 15 members, a president, vice president, and treasurer will be selected at random. An advisory
Fill in the blank with an appropriate word, phrase, or symbol(s).When a sample is obtained by drawing every nth item, the sample is called a(n) ___________ sample.
Fill in the blank with an appropriate word, phrase, or symbol(s).The standard deviation of a set of data in which all the data values are the same is ___________ .
Fill in the blank with an appropriate word, phrase, or symbol(s).A measure of how far, in terms of standard deviations, a given data value is from the mean is called a z-score or a(n) ___________
Fill in the blank with an appropriate word, phrase, or symbol(s).If one quantity increases as the other quantity increases, the two variables are said to have a(n) __________ correlation.
Fill in the blank with an appropriate word, phrase, or symbol(s).The piece of data that occurs most frequently in a set of data is called the ___________ .
In 2012, there were 27.1 million Netf lix subscribers in the United States. In 2013, there were 31.7 million Netf lix subscribers in the United States. Draw a bar graph that appears to show a(a)
Fill in the blank with an appropriate word, phrase, or symbol(s).The symbol sis used to indicate the standard deviation of a(n) ___________ .
Fill in the blank with an appropriate word, phrase, or symbol(s).The class width of a frequency distribution with a first class of 10 – 19 and a second class of 20 –29 is _____________ .
Fill in the blank with an appropriate word, phrase, or symbol(s).(a) A distribution that has a “tail” on its right is skewed to the __________ .(b) A distribution that has a “tail” on
For the set of data 27, 43, 43, 45, 52, determine theMedian.
Suppose that each circle is equally likely to be selected. One circle is selected at random.Determine the probability indicated.P(green or yellow circle | green + obtained) + + +
If three men and three women are to be assigned at random to six seats in a row at a theater, determine the probability that they will alternate by gender.
A pair of aces and a pair of 8’s is often known as a “dead man’s hand.” (a) Determine the probability of being dealt a dead man’s hand (any two aces, any two 8’s, and one other card
Fill in the blank with an appropriate word, phrase, or symbol(s).A subset of a population used by statisticians to make predictions about a population is called a(n) __________.
Fill in the blank with an appropriate word, phrase, or symbol(s).The symbol sis used to indicate the standard deviation of a(n) ____________ .
Fill in the blank with an appropriate word, phrase, or symbol(s)..A normal distribution is a(n) ______________ shaped distribution.
Fill in the blank with an appropriate word, phrase, or symbol(s).If one quantity increases as the other quantity decreases, the two variables are said to have a(n) ___________ correlation.
Fill in the blank with an appropriate word, phrase, or symbol(s).The value in the middle of a set of ranked data is called the ___________.
Fill in the blank with an appropriate word, phrase, or symbol(s).All items or people of interest in an experiment are collectively called a(n) ___________ .
More copies of Time magazine are sold than are copies of Money magazine. Therefore, Time is a more profitable magazine than Money.Tell what possible misuses or misinterpretations may exist in the
Fill in the blank with an appropriate word, phrase, or symbol(s).A distribution in which two nonadjacent data values occur more frequently than any other values in a set of data is called a(n)
Fill in the blank with an appropriate word, phrase, or symbol(s).(a) The value of r, the linear correlation coefficient, that represents the strongest positive correlation between two variables is
Fill in the blank with an appropriate word, phrase, or symbol(s).The average that is found by summing the data and then dividing the sum by the number of pieces of data is called the
Fill in the blank with an appropriate word, phrase, or symbol(s).The collection, organization, and analysis of data is called _________ statistics.
The Stay Healthy Candy Bar indicates on its label that it has no cholesterol. Therefore, it is safe to eat as many of these candy bars as you want.Tell what possible misuses or misinterpretations may
Fill in the blank with an appropriate word, phrase, or symbol(s).The measure of dispersion that measures how much the data differ from the mean is called the ____________ .
Fill in the blank with an appropriate word, phrase, or symbol(s).In a frequency distribution, another name for the midpoint of a class is the class ___________ .
Fill in the blank with an appropriate word, phrase, or symbol(s).The process of determining the linear relationship between two variables is called linear _________.
Fill in the blank with an appropriate word, phrase, or symbol(s).Averages are referred to as measures of central ___________ .
Fill in the blank with an appropriate word, phrase, or symbol(s).Making generalizations or predictions from the data collected is called ________ statistics.
Fill in the blank with an appropriate word, phrase, or symbol(s).The difference between the highest and lowest values in a set of data is called the ____________ .
Fill in the blank with an appropriate word, phrase, or symbol(s).A distribution in which the frequency is either constantly increasing or constantly decreasing is called a(n) _____________
Fill in the blank with an appropriate word, phrase, or symbol(s).In a frequency distribution, the class with the greatest frequency is called the __________ class.
Fill in the blank with an appropriate word, phrase, or symbol(s).A unitless measure that describes the strength of the linear relationship between two variables is called the linear correlation
Fill in the blank with an appropriate word, phrase, or symbol(s).A number that is representative of a set of data is called a(n) _________ .
For the set of data 27, 43, 43, 45, 52, determine theMean.
Fill in the blank with an appropriate word, phrase, or symbol(s).The art and science of gathering, analyzing, and making inferences (predictions) from numerical information obtained in an experiment
(a) What is a population?(b) What is a sample?
Fill in the blank with an appropriate word, phrase, or symbol(s).Measures of dispersion are used to indicate the spread or of the data.
Fill in the blank with an appropriate word, phrase, or symbol(s).A distribution in which all the data values have about the same frequency is called a(n) _______ distribution.
Fill in the blank with an appropriate word, phrase, or symbol(s).A listing of observed values and the corresponding frequency of occurrence of each value is called a(n) ____________ distribution.
Suppose that each circle is equally likely to be selected. One circle is selected at random.Determine the probability indicated.P(yellow circle with green + | + obtained) + + +
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