Arithmetic Mean in Real World Problems: Worksheets, Online Test and Calculators

Arithmetic mean 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.

Arithmetic Mean in Real World Problems

Name Grade School
Date Questions10 Score

1
Find the arithmetic mean of the following data. 58, 76, 40, 35, 46, 45, 0 and 100
2
Find the arithmetic mean of first 10 natural numbers.
3
Find the arithmetic mean of natural numbers from 10 to 20.
4
Find the arithmetic mean of the following data. 5.1, 4.8, 4.3, 4.5, 5.1, 4.7, 4.5, 5.2, 5.4, 5.8, 4.3, 5.6, 5.2 and 5.5
5
Find the arithmetic mean of even numbers from 2 to 20.
6
Find the arithmetic mean of first 15 odd numbers.
7
If the mean of the following numbers is 38, find the value of x. 48, x, 37, 38, 36, 27, 35, 34, 38, 49 and 33.
8
Find the arithmetic mean of odd numbers from 4 to 15.
9
Find the arithmetic mean of first 15 prime numbers.
10
Find the arithmetic mean of first 20 even numbers.

Answers Key
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1
Find the arithmetic mean of the following data. 58, 76, 40, 35, 46, 45, 0 and 100
Mean is 50
Solution
Mean = Sum of all observations/Number of observations

Mean = (58+76+40+35+46+45+0+100)/ 8
Sum = 400
Mean = 400/8
∴ Mean = 50
2
Find the arithmetic mean of first 10 natural numbers.
Mean of first 10 natural numbers are 5.5
Solution
Mean = Sum of all observations/Number of observations

Sum of first n natural number= (n/2)x(a+Tn)

where a= first term of natural numbers,
n= total number of natural numbers and
Tn= last term of natural numbers.

∴ a= 1, n= 10 and Tn= 10

Sum of first 10 natural numbers= (10/2)x(1+10) =55
Mean of first 10 natural numbers= 55/10

∴ Mean= 5.5
3
Find the arithmetic mean of natural numbers from 10 to 20.
Mean of natural numbers from 10 to 20 are 15
Solution
Mean = Sum of all observations/Number of observations

Sum of natural numbers from start to end= (n/2)x(a+Tn)

where a= first term of natural numbers,
n= total number of natural numbers and
Tn= last term of natural numbers.

∴ a= 10, n= 11 and Tn= 20.

Sum of natural numbers from 10 to 20 = (11/2)x(10+20) =165
Mean of natural numbers from 10 and 20=165/11

∴ Mean= 15
4
Find the arithmetic mean of the following data. 5.1, 4.8, 4.3, 4.5, 5.1, 4.7, 4.5, 5.2, 5.4, 5.8, 4.3, 5.6, 5.2 and 5.5
Mean is 5
Solution
Mean = Sum of all observations/Number of observations

Mean = (5.1+4.8+4.3+4.5+5.1+4.7+4.5+5.2+5.4+5.8+4.3+5.6+5.2+5.5)/ 14
Sum = 70
Mean = 70/14
∴ Mean = 5
5
Find the arithmetic mean of even numbers from 2 to 20.
Mean of even numbers from 2 to 20 are 11
Solution
Mean = Sum of all observations/Number of observations

Sum of even numbers from start to end= (n/2)x(a+Tn)

where a= first term of even numbers,
n= total number of even numbers and
Tn= last term of even numbers.

∴ a= 2, n= 10 and Tn= 20.

Sum of even numbers from 2 to 20 = (10/2)x(2+20) =110
Mean of even numbers from 2 and 20=110/10

∴ Mean= 11
6
Find the arithmetic mean of first 15 odd numbers.
Mean of first 15 odd numbers are 15
Solution
Mean = Sum of all observations/Number of observations

Sum of first n odd number= (n/2)x(a+Tn)

where a= first term of odd numbers,
n= total number of odd numbers and
Tn= last term of odd numbers.

∴ a= 1, n= 15 and Tn= 29

Sum of first 15 odd numbers= (15/2)x(1+29) =225
Mean of first 15 odd numbers= 225/15

∴ Mean= 15
7
If the mean of the following numbers is 38, find the value of x. 48, x, 37, 38, 36, 27, 35, 34, 38, 49 and 33.
The value of x is 43
Solution
Mean = Sum of all observations/Number of observations

Mean = (48+x+37+38+36+27+35+34+38+49+33)/ 11
Sum = 375
Mean = 375/11

38= (375 + x)/11
(38x11) = (375 + x)
418=375 + x
∴ x = 418 - 375

Hence, the value of x = 43
8
Find the arithmetic mean of odd numbers from 4 to 15.
Mean of odd numbers from 4 to 15 are 10
Solution
Mean = Sum of all observations/Number of observations

Sum of odd numbers from start to end= (n/2)x(a+Tn)

where a= first term of odd numbers,
n= total number of odd numbers and
Tn= last term of odd numbers.

∴ a= 5, n= 6 and Tn= 15.

Sum of odd numbers from 4 to 15 = (6/2)x(5+15) =60
Mean of odd numbers from 4 and 15=60/6

∴ Mean= 10
9
Find the arithmetic mean of first 15 prime numbers.
Mean of first 15 prime numbers are 21.8667
Solution
Mean = Sum of all observations/Number of observations

Mean = (2+3+5+7+11+13+17+19+23+29+31+37+41+43+47)/ 15
Sum = 328
Mean = 328/15
Mean of first 15 prime numbers = 21.8667
10
Find the arithmetic mean of first 20 even numbers.
Mean of first 20 even numbers are 21
Solution
Mean = Sum of all observations/Number of observations

Sum of first n even number= (n/2)x(a+Tn)

where a= first term of even numbers,
n= total number of even numbers and
Tn= last term of even numbers.

∴ a= 2, n= 20 and Tn= 40

Sum of first 20 even numbers= (20/2)x(2+40) =420
Mean of first 20 even numbers= 420/20

∴ Mean= 21

Worksheet: Arithmetic Mean in Real World Problems

Arithmetic mean 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 arithmetic mean of odd number from 41 to 91.
Find the arithmetic mean of first 13 prime numbers.
Find the arithmetic mean of natural number from 25 to 57.
Find the arithmetic mean of even number from 41 to 83.
Find the arithmetic mean of the following data. 19, 87, 75, 47, 9, 43, 56 and 55
If the mean of the following numbers is 54, find the value of x. 45, x, 69, 29, 92, 48, 30, 1, 68, 57 and 88.
Find the arithmetic mean of first 35 odd numbers.
Find the arithmetic mean of the following data. 45.5, 26.1, 23.2, 88.1, 72.2, 46, 38.3, 81.4, 1.5, 50.2, 7.6, 86.9, 2.6 and 90.4
Find the arithmetic mean of first 34 natural numbers.
Find the arithmetic mean of first 34 even numbers.

Online Test: Arithmetic Mean in Real World Problems

This online test to find the arithmetic mean 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.

Arithmetic Mean Calculator

Mean
35
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Arithmetic mean 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.