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Curriculum: Alaska Math Grade Level Expectations Click to change Curriculum Topic: Analysis and Central Tendency Click to change Topic Lesson: [8] S&P-3: Range, Mean, Median, Mode, Central Tendency, and Outliers Click to change Lesson
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D Stephanie and Lindsay traveled to Albany this autumn. The number of miles they drove and the amount of gas utilized are given in the table. Calculate the average mileage (per gallon) of the car during the trip. | Day 1 | Day 2 | Day 3 | Day 4 | | Distance (in miles) | 336 | 608 | 224 | 752 | | Gas utilized (in gallons) | 21 | 38 | 14 | 47 |
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D Ethan's scores in six subjects are 72, 48, 72, 72, 72, and 84. What is his average score?
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| D The line graph shows the number of miles traveled by Stephanie each month. What is the month corresponding to the outlier in the line graph? D |
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| D What will be the average of the temperatures - 20°C, - 20°C, - 20°C, and - 32°C? D |
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D The table shows the number of fruits sold at a fruit store on seven consecutive days. Using the table, calculate the mean number of fruits sold per day. | Day 1 | Day 2 | Day 3 | Day 4 | Day 5 | Day 6 | Day 7 | | Fruits sold | 6 | 8 | 10 | 12 | 16 | 4 | 14 |
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D The population of an island in the last 4 decades is shown in the table. Determine the mean population on the island during the time period. | Year | Population | | 1960 | 66000 | | 1970 | 76000 | | 1980 | 107000 | | 1990 | 143000 |
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D Find the range of the data.
16, 59, 19, 54, 24, 29 and 39 D |
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D The population of a village in the last 4 decades is given in the table. Determine the range of the population in the village. | Year | Population | | 1960 | 68000 | | 1970 | 84000 | | 1980 | 108000 | | 1990 | 136000 |
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D The number of accountants in a village during the last 4 decades are given in the table. Find the mean number of accountants.| Year | Number of accountants | | 1960 | 66000 | | 1970 | 86000 | | 1980 | 104000 | | 1990 | 137000 |
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D Find the median of the data set, which shows the heights (in inches) of 10 students in Mr. Bill's class.
65, 60, 64, 61, 66, 67, 67, 67, 62, and 77
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| D The heights (in inches) of 10 students in Mr. Tony's class are 60, 55, 59, 56, 61, 62, 62, 62, 57 and 72. Find the mean heights of the students. D |
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D Find the mode of the given data set, which shows the heights (in inches) of 10 students in Mr. Brown's class.
63, 58, 62, 59, 64, 65, 65, 65, 60, and 75
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D The heights (in inches) of 10 students in Mr. Anderson's class are 66, 61, 65, 62, 67, 68, 68, 68, 63 and 78. Find the range of the heights.
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D The table shows the scores of the students in Mr.Trowell's class. Find the median of the data.| Scores | 57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | | Number of students | 3 | 5 | 4 | 2 | 7 | 6 | 3 | 5 |
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D The table shows the average monthly temperature in a locality in the last 5 months. Find the range of the data.| Month | Temperature (°C) | | January | 38 | | February | 45 | | March | 39 | | April | 43 | | May | 41 |
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D The number of coins of different countries collected by Joe are 96, 98, 98, 105, 36, 87, 95, and 93. Find the mean of the data.
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| D The number of coins of different countries collected by Josh are 96, 98, 98, 105, 36, 87, 95 and 93. Find the mean of the data without the outlier. D |
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| D The line graph shows the number of miles traveled by Zelma in each month. Find the mean distance traveled by Zelma in 8 months. D |
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| D Find the mean of the data set, 15, 19, 7, 3, 4, 10, 16, 22, 37, 12. D |
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D Find the mean of the data set without an outlier. 18, 24, 9, 4, 6, 13, 20, 27, 45, 16
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D The number of students in a village during the last 4 decades are given in the table. Find the mean number of students.| Year | Number of students | | 1960 | 66000 | | 1970 | 87000 | | 1980 | 108000 | | 1990 | 132000 |
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D Find the median of the data set, which shows the scores of 10 students in Mr. Henry's class.
61, 56, 60, 57, 62, 63, 63, 63, 58, and 73
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| D The weights (in pounds) of 10 students in Mr. Josh's class are 60, 55, 59, 56, 61, 62, 62, 62, 57 and 72. Find the mean weights of the students. D |
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D The table shows the heights (in inches) of the students in Mr.Trowell's class. Find the median of the data.| Heights (in inches) | 57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | | Number of students | 3 | 5 | 4 | 2 | 7 | 6 | 3 | 5 |
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D The scores in 8 tests taken by Henry are 96, 98, 98, 105, 36, 87, 95, and 93. Find the mean of the data.
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D What is the outlier in the box and whisker plot?
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D The table represents the homeownership rates by the age of the householder in the U.S. in the year 2000. Find the range of the given data.| Age in years | Percentage of home owners | | 15-24 | 17.9 | | 15-34 | 45.6 | | 35-44 | 66.2 | | 45-54 | 74.9 |
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D Arthur's scores in six subjects are 60, 42, 72, 84, 72, and 72. What is his average score?
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| D The number of picture cards of different countries collected by Sam are 96, 98, 98, 105, 36, 87, 95 and 93. Find the mean of the data without the outlier. D |
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D A cloth manufacturing company has been making profit for the past 5 years. The annual profits reported were $5 million, $9 million, $4 million, $4 million and $4 million. What is the average annual profit?
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D Find the range of the data.
47, 92, 52, 87, 57, 62 and 72 D |
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D The table shows the heights of the students in Mr. Paul Smith's class. Find the mode of their heights.| Height (In inches) | 57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | | No. of students | 3 | 5 | 4 | 2 | 7 | 6 | 3 | 5 |
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D Find the mode of the given data set, which shows the heights (in inches) of 10 students in Mr. Brown's class.
67, 62, 66, 63, 68, 69, 69, 69, 64, and 79
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D Find the mode for the data shown in the line plot, which depicts the favorite topics in mathematics for grade 9 students.
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D The table shows the number of fruits sold at a fruit store on seven consecutive days. Using the table, calculate the mean number of fruits sold per day. | Day 1 | Day 2 | Day 3 | Day 4 | Day 5 | Day 6 | Day 7 | | Fruits sold | 9 | 11 | 13 | 15 | 19 | 7 | 17 |
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| D What will be the average of the temperatures - 16°C, - 24°C, - 24°C, and - 40°C? D |
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| D Find the mean of the data set, 18, 26, 9, 5, 8, 14, 21, 28, 46, 16. D |
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D The number of doctors of a city in the last 4 decades is given in the table. Determine the range of the number of doctors in the city. | Year | Number of doctors | | 1960 | 68000 | | 1970 | 86000 | | 1980 | 102000 | | 1990 | 137000 |
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D The population in a state during the last 4 decades are given in the table. Find the mean population.| Year | Population | | 1960 | 68000 | | 1970 | 86000 | | 1980 | 104000 | | 1990 | 136000 |
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| D Find the mode for the data shown in the line plot. D |
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D Find the median of the data set, which shows the heights (in inches) of 10 students in Mr. Matt's class.
65, 60, 64, 61, 66, 67, 67, 67, 62, and 77
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| D The weights (in pounds) of 10 students in Mr. Paul's class are 61, 56, 60, 57, 62, 63, 63, 63, 58 and 73. Find the mean weights of the students. D |
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D The scores of 10 students in Mr. Anderson's class are 64, 59, 63, 60, 65, 66, 66, 66, 61 and 76. Find the range of the scores.
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D A cloth manufacturing company has been making profit for the past 5 years. The annual profits reported were $3 million, $6 million, $3 million, $6 million and $2 million. What is the average annual profit?
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D The population of an island in the last 4 decades is shown in the table. Determine the mean population on the island during the time period. | Year | Population | | 1960 | 54000 | | 1970 | 76000 | | 1980 | 109000 | | 1990 | 141000 |
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D The table shows the weights (in pounds) of the students in Mr.Trowell's class. Find the median of the data.| Weights (in pounds) | 57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | | Number of students | 3 | 5 | 4 | 2 | 7 | 6 | 3 | 5 |
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D The table shows the heights of the students in Mr. Jacob's class. Find the range of the data.| Height (in inches) | 57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | | No. of students | 3 | 5 | 4 | 2 | 7 | 6 | 3 | 5 |
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D The table shows the average monthly relative humidity in a village in the last 5 months. Find the range of the data.| Month | Relative humidity (%) | | January | 32 | | February | 46 | | March | 35 | | April | 43 | | May | 39 |
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D The number of stamps of different countries collected by Andrew are 96, 98, 98, 105, 36, 87, 95, and 93. Find the mean of the data.
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| D The scores in 8 tests taken by Bill are 96, 98, 98, 105, 36, 87, 95 and 93. Find the mean of the data without the outlier. D |
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| D The line graph shows the number of miles traveled by Hanna in each month. Find the mean distance traveled by Hanna in 8 months. D |
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| D Find the mean of the data set, 13, 17, 7, 3, 4, 10, 14, 18, 31, 11. D |
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| D The table shows the annual income of 5 persons. Find the average annual income of all five people. D |
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D Lauren has taken a math test 10 times and her scores are 95, 99, 99, 98, 45, 88, 93, 95, 86 and 96. Which measure of central tendency is the most appropriate for her scores?
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D Which measure of central tendency is most appropriate for the data listed?
27, 28, 30, 32, 29, 34, 31, 33, 35 D |
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D A survey was conducted by a sports channel, about the favorite sport of the people in a locality. Which measure of central tendency is the best for the given situation?
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D If children in a school are asked about their favorite cartoon, which measure of central tendency will be the most helpful to make their choice?
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D Find the mean of the data set without an outlier. 15, 19, 6, 3, 4, 9, 16, 21, 36, 12
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D The scores of students of four teams A, B, C, and D in their math tests were recorded. Each team reported an average of 90. Which of the following measure of central tendency was used by the teams?
A: 85, 81, 91, 96, 97
B: 93, 92, 90, 90, 91
C: 85, 81, 94, 93, 90
D: 85, 89, 90, 90, 90 D |
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D Charles has taken an aptitude test 6 times and his scores are 82, 85, 90, 95, 27 and 87. Which measure of central tendency is most appropriate for his scores?
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D Height(in cm) of 8 students are as follows:
155, 156, 160, 152, 158, 150, 153, 157.
Which measure of central tendency is most appropriate for the data? D |
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D The data shown are the grades received by twelve students.
B, B, B, A, B, A, B, B, A, C, C, B
Which measure of central tendency is the best for the given situation? D |
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| D A survey was conducted by a television channel, about the likes and dislikes for the programs they telecast. Which measure of central tendency is the best for the given situation? D |
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D Which measure of central tendency is the most appropriate for a data that describes the hair color of 10 Grade-6 students?
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| D Paula recorded the number of hours her classmates spend watching TV in a week. Which measure of central tendency is the most appropriate for describing the data? D |
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| D Amy recorded the number of different flowers used in a bouquet. Which measure of central tendency is the most appropriate to describe the data? D |
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D Which measure of central tendency is the most appropriate for the data listed?
56, 58, 70, 52, 69
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D The loss percentages of a company for 6 months are given in the bar graph. What is the outlier in the data?
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D The line graph shows the hours of study and test scores of 8 students. Find the range of the scores.
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D Which measure of central tendency is the most appropriate for the data listed?
0, 0, 0, 1, 1, 1, 1, 2, 2, 2 D |
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D The scores shown below were received by four math teams named A, B, C, and D in an examination. Each team reported an "average" of 80. Which of the following is true for the measure of central tendency that was used by the team?
A: 78, 76, 82, 84, 80
B: 82, 75, 78, 79, 80
C: 76, 75, 76, 80, 82
D: 72, 74, 76, 80, 82
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