Basic Math Examples

125

$125$ ,

93

$93$ ,

203

$203$ ,

230

$230$ ,

178

$178$ ,

217

$217$ ,

192

$192$ ,

233

$233$ ,

135

$135$ ,

367

$367$ ,

57

$57$ ,

146

$146$ ,

11

$11$ ,

112

$112$

Step 1

Arrange the terms in ascending order.

11, 57, 93, 112, 125, 135, 146, 178, 192, 203, 217, 230, 233, 367

$11, 57, 93, 112, 125, 135, 146, 178, 192, 203, 217, 230, 233, 367$

Step 2

The median is the middle term in the arranged data set. In the case of an even number of terms, the median is the average of the two middle terms.

\frac{146 + 178}{2}

$\frac{146 + 178}{2}$

Step 3

Remove parentheses.

\frac{146 + 178}{2}

$\frac{146 + 178}{2}$

Step 4

Cancel the common factor of

146 + 178

$146 + 178$ and

2

$2$ .

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Step 4.1

Factor

2

$2$ out of

146

$146$ .

\frac{2 \cdot 73 + 178}{2}

$\frac{2 \cdot 73 + 178}{2}$

Step 4.2

Factor

2

$2$ out of

178

$178$ .

\frac{2 \cdot 73 + 2 \cdot 89}{2}

$\frac{2 \cdot 73 + 2 \cdot 89}{2}$

Step 4.3

Factor

2

$2$ out of

2 \cdot 73 + 2 \cdot 89

$2 \cdot 73 + 2 \cdot 89$ .

\frac{2 \cdot (73 + 89)}{2}

$\frac{2 \cdot (73 + 89)}{2}$

Step 4.4

Cancel the common factors.

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Step 4.4.1

Factor

2

$2$ out of

2

$2$ .

\frac{2 \cdot (73 + 89)}{2 (1)}

$\frac{2 \cdot (73 + 89)}{2 (1)}$

Step 4.4.2

Cancel the common factor.

\frac{2 \cdot (73 + 89)}{2 \cdot 1}

$\frac{2 \cdot (73 + 89)}{2 \cdot 1}$

Step 4.4.3

Rewrite the expression.

\frac{73 + 89}{1}

$\frac{73 + 89}{1}$

Step 4.4.4

Divide

73 + 89

$73 + 89$ by

1

$1$ .

73 + 89

$73 + 89$

73 + 89

$73 + 89$

73 + 89

$73 + 89$

Step 5

Add

73

$73$ and

89

$89$ .

162

$162$

Step 6

Convert the median

162

$162$ to decimal.

162

$162$