Basic Math Examples

56

$56$ ,

45

$45$ ,

78

$78$ ,

98

$98$ ,

64

$64$ ,

56

$56$ ,

79

$79$ ,

80

$80$ ,

97

$97$ ,

47

$47$ ,

59

$59$ ,

86

$86$ ,

67

$67$ ,

52

$52$ ,

41

$41$ ,

70

$70$ ,

82

$82$ ,

52

$52$ ,

40

$40$ ,

64

$64$ ,

61

$61$ ,

80

$80$

Step 1

The mean of a set of numbers is the sum divided by the number of terms.

\frac{56 + 45 + 78 + 98 + 64 + 56 + 79 + 80 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}

$\frac{56 + 45 + 78 + 98 + 64 + 56 + 79 + 80 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2

Simplify the numerator.

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Step 2.1

Add

56

$56$ and

45

$45$ .

\frac{101 + 78 + 98 + 64 + 56 + 79 + 80 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}

$\frac{101 + 78 + 98 + 64 + 56 + 79 + 80 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.2

Add

101

$101$ and

78

$78$ .

\frac{179 + 98 + 64 + 56 + 79 + 80 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}

$\frac{179 + 98 + 64 + 56 + 79 + 80 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.3

Add

179

$179$ and

98

$98$ .

\frac{277 + 64 + 56 + 79 + 80 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}

$\frac{277 + 64 + 56 + 79 + 80 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.4

Add

277

$277$ and

64

$64$ .

\frac{341 + 56 + 79 + 80 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}

$\frac{341 + 56 + 79 + 80 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.5

Add

341

$341$ and

56

$56$ .

\frac{397 + 79 + 80 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}

$\frac{397 + 79 + 80 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.6

Add

397

$397$ and

79

$79$ .

\frac{476 + 80 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}

$\frac{476 + 80 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.7

Add

476

$476$ and

80

$80$ .

\frac{556 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}

$\frac{556 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.8

Add

556

$556$ and

97

$97$ .

\frac{653 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}

$\frac{653 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.9

Add

653

$653$ and

47

$47$ .

\frac{700 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}

$\frac{700 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.10

Add

700

$700$ and

59

$59$ .

\frac{759 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}

$\frac{759 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.11

Add

759

$759$ and

86

$86$ .

\frac{845 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}

$\frac{845 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.12

Add

845

$845$ and

67

$67$ .

\frac{912 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}

$\frac{912 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.13

Add

912

$912$ and

52

$52$ .

\frac{964 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}

$\frac{964 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.14

Add

964

$964$ and

41

$41$ .

\frac{1005 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}

$\frac{1005 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.15

Add

1005

$1005$ and

70

$70$ .

\frac{1075 + 82 + 52 + 40 + 64 + 61 + 80}{22}

$\frac{1075 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.16

Add

1075

$1075$ and

82

$82$ .

\frac{1157 + 52 + 40 + 64 + 61 + 80}{22}

$\frac{1157 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.17

Add

1157

$1157$ and

52

$52$ .

\frac{1209 + 40 + 64 + 61 + 80}{22}

$\frac{1209 + 40 + 64 + 61 + 80}{22}$

Step 2.18

Add

1209

$1209$ and

40

$40$ .

\frac{1249 + 64 + 61 + 80}{22}

$\frac{1249 + 64 + 61 + 80}{22}$

Step 2.19

Add

1249

$1249$ and

64

$64$ .

\frac{1313 + 61 + 80}{22}

$\frac{1313 + 61 + 80}{22}$

Step 2.20

Add

1313

$1313$ and

61

$61$ .

\frac{1374 + 80}{22}

$\frac{1374 + 80}{22}$

Step 2.21

Add

1374

$1374$ and

80

$80$ .

\frac{1454}{22}

$\frac{1454}{22}$

\frac{1454}{22}

$\frac{1454}{22}$

Step 3

Cancel the common factor of

1454

$1454$ and

22

$22$ .

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Step 3.1

Factor

2

$2$ out of

1454

$1454$ .

\frac{2 (727)}{22}

$\frac{2 (727)}{22}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor

2

$2$ out of

22

$22$ .

\frac{2 \cdot 727}{2 \cdot 11}

$\frac{2 \cdot 727}{2 \cdot 11}$

Step 3.2.2

Cancel the common factor.

$\frac{2 \cdot 727}{2 \cdot 11}$

Step 3.2.3

Rewrite the expression.

$\frac{727}{11}$

Step 4

Divide.

$66.\overline{09}$

Step 5

The mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

$66.1$