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Statistics Review

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**convenience systematic stratified voluntary-response**

A major university decides to survey the student body to find out their opinion about life on campus. All students are identified by their major field of study, such as education, mathematics, or literature. The university randomly chooses four of the eight majors offered at the university. The university sends the survey to a random sample of the students in these four majors. Identify the sampling method used (convenience, systematic, stratified, or voluntary-response). convenience systematic stratified voluntary-response

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**List the data values in the stem-and-leaf plot.**

Stems Leaves 3 0, 1, 5 5 1, 3, 7, 9 7 1 9 1, 1 List the data values in the stem-and-leaf plot. 30, 31, 35, 51, 53, 57, 59, 71, 91 3, 13, 15, 17, 19, 35, 53, 75, 95 30, 31, 35, 51, 53, 57, 59, 71, 91, 91 3, 13, 15, 17, 19, 19, 35, 53, 75, 95

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Ms. Wallace records the amount of time each of her students spends practicing piano each week. She uses this line plot to organize the data. Which data set is represented by the line plot? 1,1,1,1,1,2,2,2,2,3,3,3,4 1,1,1,1,1,2,2,2,2,2,3,3,4 1,2,2,1,2,1,2,1,2,1,3,3,3,4 3,2,2,1,1,2,2,1,4,2,1,1,4,1

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**Mean = 18.1 Median = 24 Mode = 16 Mean = 18.1 Median = 19 Mode = 22**

Find the mean, median, and mode of the list of values. Round to the nearest tenth if necessary. 3, 16, 22, 25, 24, 23, 16, 16 Mean = 18.1 Median = 24 Mode = 16 Mean = 18.1 Median = 19 Mode = 22 Mean = 18.1 Median = 19 Mode = 16 Mean = 72.5 Median = 19 Mode = 16

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**The average rent is the mean, $918. **

The monthly rents for five apartments advertised in a newspaper were $670, $670, $790, $1650, and $810. Use the mean, median, and mode of the rents to answer the question. Which value gives the average rent? The average rent is the mean, $918. The average rent is the median, $790. The average rent is the mode, $670.

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**The rent advertised most often is the median, $760. **

The monthly rents for five apartments advertised in a newspaper were $650, $650, $760, $1550, and $840. Use the mean, median, and mode of the rents to answer the question. Which value gives the rent that was advertised most often? The rent advertised most often is the median, $760. The rent advertised most often is the mean, $890. The rent advertised most often is the mode, $650.

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**Mean = 32 Median = 46Mode = 28 Mean = 46.1 Median = 25Mode = 28**

Constellation Number Number of Stars in Constellation Constellation 1 22 Constellation 2 25 Constellation 3 46 Constellation 4 Constellation 5 45 Constellations are made up of more than one star. The table shows the number of stars that make up various constellations. Determine the mean, median, and mode of the data. Mean = 32 Median = 46Mode = 28 Mean = 46.1 Median = 25Mode = 28 Mean = 32 Median = 46Mode = 22 Mean = 32 Median = 25Mode = 22

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**Mean = 68.9 meters Median = 70 meters Mode = 48 meters **

Asteroid Number Diameter of Asteroid (m) Asteroid 1 92 Asteroid 2 70 Asteroid 3 48 Asteroid 4 93 Asteroid 5 91 Asteroid 6 Asteroid 7 43 Asteroid 8 57 Asteroid 9 78 Asteroids are chunks of rock and metal that orbit the sun. The asteroid belt is a band of asteroids that lies between the orbits of Mars and Jupiter. Suppose scientists measure the diameters of several asteroids. Find the mean, median, and mode of the data. Round to the nearest tenth if necessary. Mean = 68.9 meters Median = 70 meters Mode = 48 meters Mean = 68.9 meters Median = 70 meters Mode = 91 meters Mean = 91.3 meters Median = 70 meters Mode = 48 meters Mean = 68.9 meters Median = 92 meters Mode = 48 meters

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**Find the range and the first and third quartiles for the data set**

Range = 70 First quartile = 75 Third quartile = 28 Range = 89 First quartile = 67 Third quartile = 75 Range = 70 First quartile = 28 Third quartile = 75 Range = 67 First quartile = 28 Third quartile = 75

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**The box-and-whisker plot represents which set of data?**

5, 4, 16, 20, 10, 6, 15 5, 4, 16, 21, 10, 6, 15

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The lives of two different brands of 60-watt light bulbs are shown in the box-and-whisker plots. Compare the medians and the ranges of the data sets. Glo-Brite has a greater median. Glo-Brite has a greater range. The medians are equal. Luminate has a greater range. The medians are equal. Glo-Brite has a greater range. Glo-Brite has a greater median. Luminate has a greater range.

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**List a set of data values that can be represented by the box-and-whisker plot shown.**

4, 5, 6, 7, 8, 9, 11, 13, 14, 15, 16 4, 6, 8, 11, 15, 16 4, 5, 6, 9, 11, 15, 16 4, 6, 7, 11, 15, 16

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A survey of sports fans was conducted to determine each fan’s favorite sport. The table shows the results of the survey. Make a double-bar graph of the data. Sport Boys Girls Soccer 4 9 Football 1 6 Baseball 12 3 Sport Boys Girls Soccer 4 9 Football 1 8 Baseball 12 3

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The manager of an amusement park takes a survey to find out the ages of the people who ride a new ride. The results of the survey are shown in the frequency table. Use the data to make a histogram. Age of the Rider Frequency 10–15 2 16–21 51 22–27 69 28–33 7 Age of the Rider Frequency 10–15 7 16–21 51 22–27 69 28–33 2

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**A computer store sells Ultra Fast brand desktop and laptop computers**

A computer store sells Ultra Fast brand desktop and laptop computers. They tracked the sales of both kinds of computers over five days and made a double-line graph. Which table is represented by the graph? Day # of Desktop Cpu’s # of Laptop Cpu’s 10 3 5 20 2 30 6 40 4 50 1 Day # of Desktop Cpu’s # of Laptop Cpu’s 10 3 5 20 2 30 40 4 6 50 1

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Which type of graph would you use to compare the average heights of boys and girls from ages 6 through 18? circle graph double-line graph line plot histogram

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Which type of graph would you use to show how frequently airplanes were delayed for different lengths of time? back-to-back stem-and-leaf plot double-line graph double-bar graph histogram

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The circle graph shows how the average American family spends its money. Explain why the graph is misleading. A family with an annual income of $32,000 spends about $2000 on clothing. The sections of the graph do not add to 100%, so the percent for at least one type of expense is not represented. The section of the graph representing 18% looks larger than the sections for 15% and 6% combined. The amount of money spent on transportation and food exceeds the amount of money spent on housing.

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The table relates the amount of fertilizer used on a tomato plant and the number of tomatoes produced by the plant. Which scatter plot represents the values in the table? Fert. (g) # of Tomatoes Produced 20 18 15 10 30 26 29 22 11 4

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A travel agency surveys its customers to find out the average cost of a vacation compared to the miles traveled during the vacation. The results of the survey are shown in the table. Which scatter plot represents the values in the table? Miles Traveled Vacation Cost 456 $458 124 $287 245 $328 307 $410 59 $238

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**Negative correlation No correlation Positive correlation**

Does the scatter plot appear to have a positive correlation, negative correlation, or no correlation? Negative correlation No correlation Positive correlation

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**Does the data set have a positive, a negative, or no correlation**

Does the data set have a positive, a negative, or no correlation? The cost of a meal and the amount of food. No correlation Negative correlation Positive correlation

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**14 centimeters 5.6 centimeters 10 centimeters 17.5 centimeters**

A lawn specialist measured the average temperature during different growing periods and the amount that the grass grew during each period. The scatter plot shows the results of his study. Based on this plot, which is the best prediction for the growth that would occur if the temperature were 55°F? 14 centimeters 5.6 centimeters 10 centimeters 17.5 centimeters

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What kind of graph would best show the growth in the numbers of people owning cell phones from 2000 to 2007? circle graph line graph double-bar graph Venn diagram

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**a graph that displays two related sets of data**

back-to-back stem-and-leaf plot double-bar graph biased sample box-and-whisker plot Venn diagram correlation unbiased sample frequency table

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**the description of the relationship between two data sets**

back-to-back stem-and-leaf plot double-bar graph biased sample box-and-whisker plot Venn diagram correlation unbiased sample frequency table

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a graph that displays the highest and lowest quarters of data as whiskers, the middle two quarters of the data as a box, and the median back-to-back stem-and-leaf plot double-bar graph biased sample box-and-whisker plot Venn diagram correlation unbiased sample frequency table

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**a sample that does not fairly represent the population**

back-to-back stem-and-leaf plot double-bar graph biased sample box-and-whisker plot Venn diagram correlation unbiased sample frequency table

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**a table that lists items together according to the number of times that the items occur**

back-to-back stem-and-leaf plot double-bar graph biased sample box-and-whisker plot Venn diagram correlation unbiased sample frequency table

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a graph that compares two sets of data by displaying one set of data to the left of the stem and the other to the right back-to-back stem-and-leaf plot double-bar graph biased sample box-and-whisker plot Venn diagram correlation unbiased sample frequency table

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**a diagram that is used to show relationships between sets**

back-to-back stem-and-leaf plot double-bar graph biased sample box-and-whisker plot Venn diagram correlation unbiased sample frequency table

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**the middle number, or the mean (average) of the two middle numbers, in an ordered set of data**

histogram double-line graph central tendency mean line plot mode line of best fit median

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**a bar graph that shows the frequency of data within equal intervals**

histogram double-line graph central tendency mean line plot mode line of best fit median

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**a straight line that comes closest to the points on a scatter plot**

histogram double-line graph central tendency mean line plot mode line of best fit median

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**the number or numbers that occur most frequently in a set of data**

histogram double-line graph central tendency mean line plot mode line of best fit median

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**the sum of a set of data divided by the number of items in the data set; also called average**

histogram double-line graph central tendency mean line plot mode line of best fit median

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**a graph that uses line segments to show how data changes**

histogram double-line graph central tendency mean line plot mode line of best fit median

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**a number line with marks or dots that show frequency**

histogram double-line graph central tendency mean line plot mode line of best fit median

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**the entire group of objects or individuals considered for a survey**

domain outlier population quartile random sample voluntary-response sample range sample

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**a value much greater or much less than the others in a data set**

domain outlier population quartile random sample voluntary-response sample range sample

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**three values, one of which is the median, that divides a data set into fourths**

domain outlier population quartile random sample voluntary-response sample range sample

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**a part of the population**

domain outlier population quartile random sample voluntary-response sample range sample

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**the difference between the greatest and least values in a data set**

domain outlier population quartile random sample voluntary-response sample range sample

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a sample in which each individual or object in the entire population has an equal chance of being selected domain outlier population quartile random sample voluntary-response sample range sample

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**a sample in which members choose to be in the sample**

domain outlier population quartile random sample voluntary-response sample range sample

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**a sample of a population that has been divided into subgroups**

scatter plot stem-and-leaf plot stratified sample predictions box-and-whisker plot systematic sample variability convenience sample

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**a sample of a population that has been selected using a pattern**

scatter plot stem-and-leaf plot stratified sample predictions box-and-whisker plot systematic sample variability convenience sample

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**the spread of values in a set of data**

scatter plot stem-and-leaf plot stratified sample predictions box-and-whisker plot systematic sample variability convenience sample

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**a graph with points plotted to show a possible relationship between two sets of data**

scatter plot stem-and-leaf plot stratified sample predictions box-and-whisker plot systematic sample variability convenience sample

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**a graph used to organize and display data so that the frequencies can be compared**

scatter plot stem-and-leaf plot stratified sample predictions box-and-whisker plot systematic sample variability convenience sample

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**a sample based on members of the population that are readily available**

scatter plot stem-and-leaf plot stratified sample predictions box-and-whisker plot systematic sample variability convenience sample

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