Basic Math Examples

95

$95$ ,

82

$82$ ,

77

$77$ ,

64

$64$ ,

100

$100$ ,

97

$97$ ,

95

$95$ ,

95

$95$ ,

81

$81$ ,

80

$80$ ,

80

$80$ ,

84

$84$ ,

98

$98$ ,

77

$77$ ,

61

$61$ ,

69

$69$ ,

71

$71$ ,

80

$80$ ,

100

$100$ ,

999

$999$

Step 1

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

\frac{95 + 82 + 77 + 64 + 100 + 97 + 95 + 95 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}

$\frac{95 + 82 + 77 + 64 + 100 + 97 + 95 + 95 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Add

95

$95$ and

82

$82$ .

\frac{177 + 77 + 64 + 100 + 97 + 95 + 95 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}

$\frac{177 + 77 + 64 + 100 + 97 + 95 + 95 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.2

Add

177

$177$ and

77

$77$ .

\frac{254 + 64 + 100 + 97 + 95 + 95 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}

$\frac{254 + 64 + 100 + 97 + 95 + 95 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.3

Add

254

$254$ and

64

$64$ .

\frac{318 + 100 + 97 + 95 + 95 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}

$\frac{318 + 100 + 97 + 95 + 95 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.4

Add

318

$318$ and

100

$100$ .

\frac{418 + 97 + 95 + 95 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}

$\frac{418 + 97 + 95 + 95 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.5

Add

418

$418$ and

97

$97$ .

\frac{515 + 95 + 95 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}

$\frac{515 + 95 + 95 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.6

Add

515

$515$ and

95

$95$ .

\frac{610 + 95 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}

$\frac{610 + 95 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.7

Add

610

$610$ and

95

$95$ .

\frac{705 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}

$\frac{705 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.8

Add

705

$705$ and

81

$81$ .

\frac{786 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}

$\frac{786 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.9

Add

786

$786$ and

80

$80$ .

\frac{866 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}

$\frac{866 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.10

Add

866

$866$ and

80

$80$ .

\frac{946 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}

$\frac{946 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.11

Add

$946$ and

$84$ .

$\frac{1030 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.12

Add

$1030$ and

$98$ .

$\frac{1128 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.13

Add

$1128$ and

$77$ .

$\frac{1205 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.14

Add

$1205$ and

$61$ .

$\frac{1266 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.15

Add

$1266$ and

$69$ .

$\frac{1335 + 71 + 80 + 100 + 999}{20}$

Step 2.16

Add

$1335$ and

$71$ .

$\frac{1406 + 80 + 100 + 999}{20}$

Step 2.17

Add

$1406$ and

$80$ .

$\frac{1486 + 100 + 999}{20}$

Step 2.18

Add

$1486$ and

$100$ .

$\frac{1586 + 999}{20}$

Step 2.19

Add

$1586$ and

$999$ .

$\frac{2585}{20}$

Step 3

Cancel the common factor of

$2585$ and

$20$ .

Tap for more steps...

Step 3.1

Factor

$5$ out of

$2585$ .

$\frac{5 (517)}{20}$

Step 3.2

Cancel the common factors.

Tap for more steps...

Step 3.2.1

Factor

$5$ out of

$20$ .

$\frac{5 \cdot 517}{5 \cdot 4}$

Step 3.2.2

Cancel the common factor.

$\frac{5 \cdot 517}{5 \cdot 4}$

Step 3.2.3

Rewrite the expression.

$\frac{517}{4}$

Step 4

Divide.

$129.25$

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.

$129.3$