Basic Math Examples

13

$13$ ,

14

$14$ ,

18

$18$ ,

13

$13$ ,

12

$12$ ,

17

$17$ ,

15

$15$ ,

12

$12$ ,

13

$13$ ,

19

$19$ ,

11

$11$ ,

14

$14$ ,

14

$14$ ,

18

$18$ ,

22

$22$ ,

23

$23$

Step 1

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

\frac{13 + 14 + 18 + 13 + 12 + 17 + 15 + 12 + 13 + 19 + 11 + 14 + 14 + 18 + 22 + 23}{16}

$\frac{13 + 14 + 18 + 13 + 12 + 17 + 15 + 12 + 13 + 19 + 11 + 14 + 14 + 18 + 22 + 23}{16}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Add

13

$13$ and

14

$14$ .

\frac{27 + 18 + 13 + 12 + 17 + 15 + 12 + 13 + 19 + 11 + 14 + 14 + 18 + 22 + 23}{16}

$\frac{27 + 18 + 13 + 12 + 17 + 15 + 12 + 13 + 19 + 11 + 14 + 14 + 18 + 22 + 23}{16}$

Step 2.2

Add

27

$27$ and

18

$18$ .

\frac{45 + 13 + 12 + 17 + 15 + 12 + 13 + 19 + 11 + 14 + 14 + 18 + 22 + 23}{16}

$\frac{45 + 13 + 12 + 17 + 15 + 12 + 13 + 19 + 11 + 14 + 14 + 18 + 22 + 23}{16}$

Step 2.3

Add

45

$45$ and

13

$13$ .

\frac{58 + 12 + 17 + 15 + 12 + 13 + 19 + 11 + 14 + 14 + 18 + 22 + 23}{16}

$\frac{58 + 12 + 17 + 15 + 12 + 13 + 19 + 11 + 14 + 14 + 18 + 22 + 23}{16}$

Step 2.4

Add

58

$58$ and

12

$12$ .

\frac{70 + 17 + 15 + 12 + 13 + 19 + 11 + 14 + 14 + 18 + 22 + 23}{16}

$\frac{70 + 17 + 15 + 12 + 13 + 19 + 11 + 14 + 14 + 18 + 22 + 23}{16}$

Step 2.5

Add

70

$70$ and

17

$17$ .

\frac{87 + 15 + 12 + 13 + 19 + 11 + 14 + 14 + 18 + 22 + 23}{16}

$\frac{87 + 15 + 12 + 13 + 19 + 11 + 14 + 14 + 18 + 22 + 23}{16}$

Step 2.6

Add

87

$87$ and

15

$15$ .

\frac{102 + 12 + 13 + 19 + 11 + 14 + 14 + 18 + 22 + 23}{16}

$\frac{102 + 12 + 13 + 19 + 11 + 14 + 14 + 18 + 22 + 23}{16}$

Step 2.7

Add

102

$102$ and

12

$12$ .

\frac{114 + 13 + 19 + 11 + 14 + 14 + 18 + 22 + 23}{16}

$\frac{114 + 13 + 19 + 11 + 14 + 14 + 18 + 22 + 23}{16}$

Step 2.8

Add

114

$114$ and

13

$13$ .

\frac{127 + 19 + 11 + 14 + 14 + 18 + 22 + 23}{16}

$\frac{127 + 19 + 11 + 14 + 14 + 18 + 22 + 23}{16}$

Step 2.9

Add

127

$127$ and

19

$19$ .

\frac{146 + 11 + 14 + 14 + 18 + 22 + 23}{16}

$\frac{146 + 11 + 14 + 14 + 18 + 22 + 23}{16}$

Step 2.10

Add

146

$146$ and

11

$11$ .

\frac{157 + 14 + 14 + 18 + 22 + 23}{16}

$\frac{157 + 14 + 14 + 18 + 22 + 23}{16}$

Step 2.11

Add

157

$157$ and

14

$14$ .

\frac{171 + 14 + 18 + 22 + 23}{16}

$\frac{171 + 14 + 18 + 22 + 23}{16}$

Step 2.12

Add

171

$171$ and

14

$14$ .

\frac{185 + 18 + 22 + 23}{16}

$\frac{185 + 18 + 22 + 23}{16}$

Step 2.13

Add

185

$185$ and

18

$18$ .

\frac{203 + 22 + 23}{16}

$\frac{203 + 22 + 23}{16}$

Step 2.14

Add

203

$203$ and

22

$22$ .

\frac{225 + 23}{16}

$\frac{225 + 23}{16}$

Step 2.15

Add

225

$225$ and

23

$23$ .

\frac{248}{16}

$\frac{248}{16}$

\frac{248}{16}

$\frac{248}{16}$

Step 3

Cancel the common factor of

248

$248$ and

16

$16$ .

Tap for more steps...

Step 3.1

Factor

8

$8$ out of

248

$248$ .

\frac{8 (31)}{16}

$\frac{8 (31)}{16}$

Step 3.2

Cancel the common factors.

Tap for more steps...

Step 3.2.1

Factor

8

$8$ out of

16

$16$ .

\frac{8 \cdot 31}{8 \cdot 2}

$\frac{8 \cdot 31}{8 \cdot 2}$

Step 3.2.2

Cancel the common factor.

$\frac{8 \cdot 31}{8 \cdot 2}$

Step 3.2.3

Rewrite the expression.

$\frac{31}{2}$

Step 4

Divide.

$15.5$