iCoachMath.com: Examples on Range, Mean, Median, Mode, Central Tendency and Outliers - Statistics - (AL)
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Solved Examples

Curriculum: Alabama Course of Study   Click to change Curriculum

Topic: Statistics  Click to change Topic

Lesson: 13: Range, Mean, Median, Mode, Central Tendency and Outliers  Click to change Lesson

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cc  Ethan's scores in six subjects are 72, 48, 72, 72, 72, and 84. What is his average score?
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cc  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 yearsPercentage of home owners
15-2417.9
15-3445.6
35-4466.2
45-5474.9

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cc  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 1Day 2Day 3Day 4
Distance (in miles)336608224752
Gas utilized (in gallons)21381447

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cc  What will be the average of the temperatures - 20°C, - 20°C, - 20°C, and - 32°C?  cc View Solution
cc  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 1Day 2Day 3Day 4Day 5Day 6Day 7
Fruits sold68101216414

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cc  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.
YearPopulation
196066000
197076000
1980107000
1990143000
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cc  Find the range of the data.
16, 59, 19, 54, 24, 29 and 39  cc
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cc  The population of a village in the last 4 decades is given in the table. Determine the range of the population in the village.
YearPopulation
196068000
197084000
1980108000
1990136000

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cc  The number of accountants in a village during the last 4 decades are given in the table. Find the mean number of accountants.
YearNumber of accountants
196066000
197086000
1980104000
1990137000

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cc  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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cc  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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cc  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.  cc View Solution
cc  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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cc  The table shows the scores of the students in Mr.Trowell's class. Find the median of the data.
Scores5758596061626364
Number of students35427635

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cc  The table shows the average monthly temperature in a locality in the last 5 months. Find the range of the data.
MonthTemperature (°C)
January38
February45
March39
April43
May41
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cc  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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cc  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.  cc View Solution
cc  The line graph shows the number of miles traveled by Zelma in each month. Find the mean distance traveled by Zelma in 8 months.  cc View Solution
cc  Find the mean of the data set, 15, 19, 7, 3, 4, 10, 16, 22, 37, 12.  cc View Solution
cc  Find the mean of the data set without an outlier. 18, 24, 9, 4, 6, 13, 20, 27, 45, 16
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cc  The number of students in a village during the last 4 decades are given in the table. Find the mean number of students.
YearNumber of students
196066000
197087000
1980108000
1990132000

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cc  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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cc  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.  cc View Solution
cc  The table shows the heights (in inches) of the students in Mr.Trowell's class. Find the median of the data.
Heights (in inches)5758596061626364
Number of students35427635

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cc  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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cc  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.  ee View Solution
ee  What is the outlier in the box and whisker plot?
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ee  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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ee  Arthur's scores in six subjects are 60, 42, 72, 84, 72, and 72. What is his average score?
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ee  Find the mean of the data set, 18, 26, 9, 5, 8, 14, 21, 28, 46, 16.  ee View Solution
ee  Find the range of the data.
47, 92, 52, 87, 57, 62 and 72  ee
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ee  The table shows the heights of the students in Mr. Paul Smith's class. Find the mode of their heights.
Height (In inches)5758596061626364
No. of students35427635
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ee  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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ee  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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ee  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 1Day 2Day 3Day 4Day 5Day 6Day 7
Fruits sold911131519717

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ee  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?  ee View Solution
ee  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.
YearNumber of doctors
196068000
197086000
1980102000
1990137000

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ee  The population in a state during the last 4 decades are given in the table. Find the mean population.
YearPopulation
196068000
197086000
1980104000
1990136000

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ee  Find the mode for the data shown in the line plot.  ee View Solution
ee  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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ee  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.  ee View Solution
ee  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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ee  What will be the average of the temperatures - 16°C, - 24°C, - 24°C, and - 40°C?  ee View Solution
ee  The table shows the annual income of 5 persons. Find the average annual income of all five people.  ee View Solution
ee  The table shows the weights (in pounds) of the students in Mr.Trowell's class. Find the median of the data.
Weights (in pounds)5758596061626364
Number of students35427635

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ee  The table shows the heights of the students in Mr. Jacob's class. Find the range of the data.
Height (in inches)5758596061626364
No. of students35427635

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ee  The table shows the average monthly relative humidity in a village in the last 5 months. Find the range of the data.
MonthRelative humidity (%)
January32
February46
March35
April43
May39
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ee  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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ee  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.  ee View Solution
ee  The line graph shows the number of miles traveled by Hanna in each month. Find the mean distance traveled by Hanna in 8 months.  ee View Solution
ee  Find the mean of the data set, 13, 17, 7, 3, 4, 10, 14, 18, 31, 11.  ee View Solution
ee  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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ee  Find the mean of the data set without an outlier. 15, 19, 6, 3, 4, 9, 16, 21, 36, 12
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ee  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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ee  Which measure of central tendency is most appropriate for the data listed?
27, 28, 30, 32, 29, 34, 31, 33, 35  ee
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ee  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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ee  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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ee  The line graph shows the hours of study and test scores of 8 students. Find the range of the scores.
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ee  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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ee  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?  ee
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ee  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?  ee
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ee  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?  ee View Solution
ee  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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ee  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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ee  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?  ee View Solution
ee  Amy recorded the number of different flowers used in a bouquet. Which measure of central tendency is the most appropriate to describe the data?  ee View Solution
ee  Which measure of central tendency is the most appropriate for the data listed?
         56, 58, 70, 52, 69
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ee  Which measure of central tendency is the most appropriate for the data listed?
        0, 0, 0, 1, 1, 1, 1, 2, 2, 2  ee
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ee  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.
YearPopulation
196054000
197076000
1980109000
1990141000
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ee  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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ee  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  ee
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