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Statistics Review.

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Presentation on theme: "Statistics Review."— Presentation transcript:

1 Statistics Review

2 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

3 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

4 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

5 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

6 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.

7 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.

8 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

9 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

10 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

11 The box-and-whisker plot represents which set of data?
5, 4, 16, 20, 10, 6, 15 5, 4, 16, 21, 10, 6, 15

12 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.

13 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

14 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

15 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

16 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

17 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

18 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

19 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.

20 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

21 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

22 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

23 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

24 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

25 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

26 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

27 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

28 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

29 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

30 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

31 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

32 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

33 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

34 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

35 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

36 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

37 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

38 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

39 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

40 the entire group of objects or individuals considered for a survey
domain outlier population quartile random sample voluntary-response sample range sample

41 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

42 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

43 a part of the population
domain outlier population quartile random sample voluntary-response sample range sample

44 the difference between the greatest and least values in a data set
domain outlier population quartile random sample voluntary-response sample range sample

45 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

46 a sample in which members choose to be in the sample
domain outlier population quartile random sample voluntary-response sample range sample

47 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

48 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

49 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

50 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

51 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

52 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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