iCoachMath.com: Examples on Statistics and Data (Algebraic) - Discrete Mathematics

Curriculum: Alaska Math Grade Level Expectations Click to change Curriculum

Topic: Discrete Mathematics Click to change Topic

Lesson: M.A.5, D.1-3: Statistics and Data (Algebraic) Click to change Lesson

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e Victor has taken an aptitude test 8 times and his scores are 96, 98, 98, 105, 36, 87, 95 and 93. Is mean or median the better measure of central tendency?
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e Find the measures of central tendency for the data set 3, 7, 9, 4, 5, 4, 6, 7 and 9. e

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e Find the median for the data set which shows the heights (in inches) of 10 students in Mr. Charles's class 65, 60, 64, 61, 66, 67, 67, 67, 62 and 77. e

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e The heights (in inches) of 10 students in Mr. Henry's class are 65, 60, 64, 61, 66, 67, 67, 67, 62 and 77. Find the range of the heights.
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e Find the mean of the data set: 11, 15, 6, 3, 4, 9, 12, 17, 28, 10 e

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e Annie and Danielle traveled to Providence 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)	504	420	348	132
Gas utilized (in gallons)	42	35	29	11

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e The table shows the average monthly temperature of a city in the past 5 months. Which month has the median temperature?

Month	Temperature (°C)
January	33
February	43
March	36
April	40
May	38

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e 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	60000
1970	86000
1980	105000
1990	141000

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e The number of students of a town in the last 4 decades is given in the table. Determine the range of the number of students in the town.

Year	Number of students
1960	68000
1970	86000
1980	104000
1990	135000

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e The population in a town during the last 4 decades are in the table. Find the mean population.

Year	Population
1960	66000
1970	86000
1980	106000
1990	138000

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e The table shows the heights of the students in Mr. Paul'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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e 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	34
February	46
March	37
April	45
May	41

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e Find the median for the data set which shows the heights (in inches) of 10 students in Mr. Jeff's class 67, 62, 66, 63, 68, 69, 69, 69, 64 and 79. e

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e The number of games won by a famous basketball team between 1991 and 2000 are 25, 30, 25, 50, 40, 75, 40, 50, 35 and 40. Which of the box-and-whisker plots represents the data?
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e Ethan has taken an aptitude test 8 times and his scores are 96, 98, 98, 105, 36, 87, 95 and 93. Is mean or median the better measure of central tendency?
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e What is the outlier in the box and whisker plot?
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e Find the measures of central tendency for the data set 4, 8, 10, 5, 6, 5, 7, 8 and 10. e

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e The heights (in inches) of 10 students in Mr. Josh's class are 60, 55, 59, 56, 61, 62, 62, 62, 57 and 72. Find the range of the heights.
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e Sheela and Irena traveled to Austin 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)	247	624	208	208
Gas utilized (in gallons)	19	48	16	16

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e The table shows the scoreboard of a 100 m race. Which box-and-whisker plot correctly displays the data in the table? Also find out the range of the box-and-whisker plot.

Contestant	Time taken (in seconds)
Andy	20
Joe	18
Jake	14
Henry	10
Justin	18

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e If the mean of the data 48, 54, 72, x, 60, 66 is 59, then find the value of x. e

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e The table shows the average monthly temperature of a city in the past 5 months. Which month has the median temperature?

Month	Temperature (°C)
January	38
February	52
March	39
April	49
May	44

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e 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	60000
1970	80000
1980	103000
1990	135000

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e The number of doctors of a village in the last 4 decades is given in the table. Determine the range of the number of doctors in the village.

Year	Number of doctors
1960	66000
1970	87000
1980	105000
1990	137000

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e The number of students in a locality during the last 4 decades are in the table. Find the mean number of students.

Year	Number of students
1960	66000
1970	84000
1980	104000
1990	137000

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e The table shows the heights of the students in Mr. Charlie'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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e The table shows the average monthly temperature in a village in the last 5 months. Find the range of the data.

Month	Temperature (°C)
January	32
February	47
March	35
April	45
May	40

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e The table shows the scoreboard of a 100 m race. Which box-and-whisker plot correctly displays the data in the table? Also find out the range of the box-and-whisker plot.

Contestant	Time taken (in seconds)
Dennis	20
Jim	18
Victor	14
Bill	10
Josh	18

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e The graph of a normal distribution will be ________. e

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e Mean Deviation of a data value is ______ .
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e If the mean of the data set {12, 18, 36, 24, x, 30} is 23, then find the mean of the data set {x - 3, x - 2, x - 1, x, x + 1, x + 5}. e

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e If the mean of the data set {x - 7, x - 8, x + 6, x + 9} is 8, then find the mean of the data set {x, x², x³, x⁴}.
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e Find the standard deviation of the data set {2, 18, 4, 16}. e

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e The following table shows the heights of mountains in the U.S. Choose the appropriate box-and-whisker plot of the data and find the mean height of the mountains.

Name	Height (in hundred ft.)
Mt. McKinley	200
Mt. St. Elias	180
Mt. Foraker	175
Mt. Bona	165
Mt. Blackburn	160
Mt. Alverstone	145
Sunshine Peak	140

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DDD Find the mean of the data set: 19, 25, 9, 4, 6, 13, 21, 27, 46, 16 DDD

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DDD Find the variance of the data set {1, 2, 3, 4, 10}.
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DDD The loss percentages of a company for 6 months are given in a bar graph. What is the outlier in the data?
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