Basic Math Examples

Find the Median 100 , 99 , 97 , 95 , 93 , 92 , 90 , 88 , 82 , 77 , 73 , 67
100100 , 9999 , 9797 , 9595 , 9393 , 9292 , 9090 , 8888 , 8282 , 7777 , 7373 , 6767
Step 1
Arrange the terms in ascending order.
67,73,77,82,88,90,92,93,95,97,99,10067,73,77,82,88,90,92,93,95,97,99,100
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.
90+92290+922
Step 3
Remove parentheses.
90+92290+922
Step 4
Cancel the common factor of 90+9290+92 and 22.
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Step 4.1
Factor 22 out of 9090.
245+922245+922
Step 4.2
Factor 22 out of 9292.
245+2462245+2462
Step 4.3
Factor 22 out of 245+246245+246.
2(45+46)22(45+46)2
Step 4.4
Cancel the common factors.
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Step 4.4.1
Factor 22 out of 22.
2(45+46)2(1)2(45+46)2(1)
Step 4.4.2
Cancel the common factor.
2(45+46)21
Step 4.4.3
Rewrite the expression.
45+461
Step 4.4.4
Divide 45+46 by 1.
45+46
45+46
45+46
Step 5
Add 45 and 46.
91
Step 6
Convert the median 91 to decimal.
91
 [x2  12  π  xdx ]