Basic Math Examples

41

$41$ ,

38

$38$ ,

42

$42$ ,

41

$41$ ,

45

$45$ ,

44

$44$ ,

48

$48$ ,

35

$35$

Step 1

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

\frac{41 + 38 + 42 + 41 + 45 + 44 + 48 + 35}{8}

$\frac{41 + 38 + 42 + 41 + 45 + 44 + 48 + 35}{8}$

Step 2

Simplify the numerator.

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Step 2.1

Add

41

$41$ and

38

$38$ .

\frac{79 + 42 + 41 + 45 + 44 + 48 + 35}{8}

$\frac{79 + 42 + 41 + 45 + 44 + 48 + 35}{8}$

Step 2.2

Add

79

$79$ and

42

$42$ .

\frac{121 + 41 + 45 + 44 + 48 + 35}{8}

$\frac{121 + 41 + 45 + 44 + 48 + 35}{8}$

Step 2.3

Add

121

$121$ and

41

$41$ .

\frac{162 + 45 + 44 + 48 + 35}{8}

$\frac{162 + 45 + 44 + 48 + 35}{8}$

Step 2.4

Add

162

$162$ and

45

$45$ .

\frac{207 + 44 + 48 + 35}{8}

$\frac{207 + 44 + 48 + 35}{8}$

Step 2.5

Add

207

$207$ and

44

$44$ .

\frac{251 + 48 + 35}{8}

$\frac{251 + 48 + 35}{8}$

Step 2.6

Add

251

$251$ and

48

$48$ .

\frac{299 + 35}{8}

$\frac{299 + 35}{8}$

Step 2.7

Add

299

$299$ and

35

$35$ .

\frac{334}{8}

$\frac{334}{8}$

\frac{334}{8}

$\frac{334}{8}$

Step 3

Cancel the common factor of

334

$334$ and

8

$8$ .

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Step 3.1

Factor

2

$2$ out of

334

$334$ .

\frac{2 (167)}{8}

$\frac{2 (167)}{8}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor

$2$ out of

$8$ .

$\frac{2 \cdot 167}{2 \cdot 4}$

Step 3.2.2

Cancel the common factor.

$\frac{2 \cdot 167}{2 \cdot 4}$

Step 3.2.3

Rewrite the expression.

$\frac{167}{4}$

Step 4

Divide.

$41.75$

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.

$41.8$