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Mean, Mode, Median and Range in Real World Problems: Worksheets, Online Test and Calculators

Mean, mode, median and range in real world problems worksheets, solved worksheet problems or exercises with step-by-step work, formative assessment as online test, calculator and more learning resources to learn, practice, assess and master the basic math skills of statistics.

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Mean, Mode, Median and Range in Real World Problems

Name Grade School
Date Questions10 Score
1
Find the mean of the following data. 34, 23, 10, 45, 44, 47, 35, 37, 41, 30, 28, 32, 45 and 39
2
The heights (in centimeter) of 10 students in a class are 110, 122, 128, 112, 129, 118, 130, 118, 134 and 120. Find the range of the heights.
3
Find the mode of the following data. 22, 20, 26, 23, 22, 29, 22, 23 and 23
4
Find the mode of the following data. 1, 2, 3, 4, 5, 6, 0, 7, 8, 9 and 10
5
Find the median of the following data. 12, 14, 23, 25, 34, 11, 42, 45, 32, 22 and 44
6
Find the median of the following data. 10, 6, 8, 3, 5, 6, 4, 9, 12 and 13
7
The marks in mathematics obtained by students are. 56, 48, 58, 60, 54, 76, 84, 92, 82, 98 and 80. Find the mean, median and mode.
8
The weight of 8 chocolate bars in grams are 131, 132, 125, 131, 130, 132, 133 and 127. Find the mean, median and mode.
9
Find the mean, mode, median from the following table
GameRugbySoccerBasketballArcheryTennisVolleyballBaseball
Number of Students10201412251322
10
Find the mean, mode, median from the following table
StudentsDavidAlexJohnPeterGeorgeJackOscar
Height (in centimeter)168165166165155161160

Answers Key
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1
Find the mean of the following data. 34, 23, 10, 45, 44, 47, 35, 37, 41, 30, 28, 32, 45 and 39
Mean is 35
Solution
Mean = Sum of all observations/Number of observations

Mean = (34+23+10+45+44+47+35+37+41+30+28+32+45+39)/ 14
Sum = 490
Mean = 490/14
∴ Mean = 35
2
The heights (in centimeter) of 10 students in a class are 110, 122, 128, 112, 129, 118, 130, 118, 134 and 120. Find the range of the heights.
Range of the heights of students is 24 centimeter
Solution
Range = Highest observation(Max)-Lowest observation(Min)

Highest observation (Max)=134,
Lowest observation (Min)=110.
Range = (134-110) centimeter

∴ Range of the heights of students is 24 centimeter
3
Find the mode of the following data. 22, 20, 26, 23, 22, 29, 22, 23 and 23
Mode of the data is 23 and 22
Solution
Mode = observation that occurs most often.

Arranging the numbers with same values together we get
    20, 22, 22, 22, 23, 23, 23, 26, 29

23 and 22 occurs most number of times
∴ Mode = 23 and 22
4
Find the mode of the following data. 1, 2, 3, 4, 5, 6, 0, 7, 8, 9 and 10
This data has no mode
Solution
Mode = observation that occurs most often.

Arranging the numbers with same values together we get
    0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

There is no observation that occurs most often.
∴ This data has no mode
5
Find the median of the following data. 12, 14, 23, 25, 34, 11, 42, 45, 32, 22 and 44
Median is 25
Solution
Arrange the given data in ascending order, we get
    11, 12, 14, 22, 23, 25, 32, 34, 42, 44, 45

The number of observation is 11 which is odd.
∴ Median = middle observation

∴ Median = 25
6
Find the median of the following data. 10, 6, 8, 3, 5, 6, 4, 9, 12 and 13
Median is 7
Solution
Arrange the given data in ascending order, we get
    3, 4, 5, 6, 6, 8, 9, 10, 12, 13

The number of observation is 10 which is even.
∴ Median = average of the two middle observations
Median = (6+8)/2
∴ Median = 7
7
The marks in mathematics obtained by students are. 56, 48, 58, 60, 54, 76, 84, 92, 82, 98 and 80. Find the mean, median and mode.
Mean is 71.6364
This data has no mode
Median is 76
Solution
Mean
Mean = Sum of all observations/Number of observations

Mean = (56+48+58+60+54+76+84+92+82+98+80)/ 11
Sum = 788
Mean = 788/11
∴ Mean = 71.6364

Mode
Mode = observation that occurs most often.

Arranging the numbers with same values together we get
    48, 54, 56, 58, 60, 76, 80, 82, 84, 92, 98

There is no observation that occurs most often.
∴ This data has no mode

Median
Arrange the given data in ascending order, we get
    48, 54, 56, 58, 60, 76, 80, 82, 84, 92, 98

The number of observation is 11 which is odd.
∴ Median = middle observation

∴ Median = 76
8
The weight of 8 chocolate bars in grams are 131, 132, 125, 131, 130, 132, 133 and 127. Find the mean, median and mode.
Mean is 130.125
Mode of the data is 131 and 132
Median is 131
Solution
Mean
Mean = Sum of all observations/Number of observations

Mean = (131+132+125+131+130+132+133+127)/ 8
Sum = 1041
Mean = 1041/8
∴ Mean = 130.125

Mode
Mode = observation that occurs most often.

Arranging the numbers with same values together we get
    125, 127, 130, 131, 131, 132, 132, 133

131 and 132 occurs most number of times
∴ Mode = 131 and 132

Median
Arrange the given data in ascending order, we get
    125, 127, 130, 131, 131, 132, 132, 133

The number of observation is 8 which is even.
∴ Median = average of the two middle observations
Median = (131+131)/2
∴ Median = 131
9
Find the mean, mode, median from the following table
GameRugbySoccerBasketballArcheryTennisVolleyballBaseball
Number of Students10201412251322
Mean is 16.5714
This data has no mode
Median is 14
Solution
Mean
Mean = Sum of all observations/Number of observations

Mean = (10+20+14+12+25+13+22)/ 7
Sum = 116
Mean = 116/7
∴ Mean = 16.5714

Mode
Mode = observation that occurs most often.

Arranging the numbers with same values together we get
    10, 12, 13, 14, 20, 22, 25

There is no observation that occurs most often.
∴ This data has no mode

Median
Arrange the given data in ascending order, we get
    10, 12, 13, 14, 20, 22, 25

The number of observation is 7 which is odd.
∴ Median = middle observation

∴ Median = 14
10
Find the mean, mode, median from the following table
StudentsDavidAlexJohnPeterGeorgeJackOscar
Height (in centimeter)168165166165155161160
Mean is 162.8571
Mode of the data is 165
Median is 165
Solution
Mean
Mean = Sum of all observations/Number of observations

Mean = (168+165+166+165+155+161+160)/ 7
Sum = 1140
Mean = 1140/7
∴ Mean = 162.8571

Mode
Mode = observation that occurs most often.

Arranging the numbers with same values together we get
    155, 160, 161, 165, 165, 166, 168

165 occurs most number of times
∴ Mode = 165

Median
Arrange the given data in ascending order, we get
    155, 160, 161, 165, 165, 166, 168

The number of observation is 7 which is odd.
∴ Median = middle observation

∴ Median = 165

Worksheet: Mean, Mode, Median and Range in Real World Problems

Mean, mode, median and range in real world problems worksheet is the largest collection of practice problems and solved exercises which can be served as homework, classwork or assignment problems for the students to learn, practice, assess, iterate and master the skills of how to solve such statistics problems in basic mathematics.

Online Test
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Find the mean of the following data. 22, 38, 16, 32, 96, 56, 1 and 87
The weight of 8 chocolate bars in grams are 176, 164, 177, 162, 174, 169, 161 and 167. Find the mean, median and mode.
Find the mode of the following data. 20, 20, 22, 28, 30, 26, 26 and 26
Find the median of the following data. 99, 35, 87, 6, 11, 37, 54, 34, 83 and 90
Find the mean, mode, median from the following 18, 18, 10, 16, 10, 17 and 18.
Find the mean, mode, median from the following 170, 174, 178, 178, 151, 158, 177 and 158.
Find the mode of the following data. 14, 15, 16, 12, 19, 10 and 19
Find the median of the following data. 91, 97, 24, 35, 5, 99, 19, 9 and 66
The marks in mathematics obtained by students are. 75, 32, 86, 62, 39, 86 and 86. Find the mean, median and mode.
The heights (in centimeter) of 10 students in a class are. 106, 104, 126, 121, 126, 128, 114, 114, 117 and 118. Find the range of the heights.
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Online Test: Mean, Mode, Median and Range in Real World Problems

This online test to find the mean, mode, median and range in real world problems is a formative assessment which can be used as homework, classwork or assignment problems to assess and improve the learner's math skills on statistics.

Mean, Mode, Median Calculator

Sum210
Mean35
ModeNo mode
Median35
Min10
Max60
Range50
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Mean, mode, median calculator is a key tool for users to generate step-by-step work to quickly understand the calculation, solve the homework problems, solve the classwork problems, prepare the answer key document for summative and formative assessments or immediately verify the entire calculation for the user supplied input values.