To find the median, order the numbers in the data set from least to greatest (or greatest to least, either one works) and then find the number in the middle. If there are 2 numbers in the middle, find their mean.
Step 2: Find the median (middle number). The median is the number in the center. Count in from each side equally to find the middle number. 76, 78, 82, 84, 88, 90, 92, 94, 98, <span>100 </span>78, 82, 84, 88, 90, 92, 94, 98 82, 84, 88, 90, 92, 94 84, 88, 90, 92 88, 90 88 and 90 are the middle numbers. Since there are 2 numbers in the middle, we must find their mean.
Step 3: Find the mean of the 2 middle numbers. Mean is also known as average. To find this, add up the numbers and then divide by the amount of numbers there are. In this case, that means adding 88 and 90 then dividing their sum by 2. This can be represented by the equation (88 + 90) ÷ 2. 88 + 90 = 178 178 ÷ 2 = 89 89 is the final answer, it is the median.
Remark The way you have to set this up is to take the new number for the males and put it over the total for the males and females. The new number for the males / total = 3/5.
Step One Find the total number of females 100 + 160 = 260 when 100 females have been added to the study.
Step Two Find the number of males The total number of males = 240 + x where x is the number of males to be added.
Step Three Find the total for both 260 + 240 + x = Total 500 + x = Total.
Step Four Find the ratio of males to total (240 + x) / (500 + x) = 3/5
Step Five Cross multiply and solve (240 + x)*5 = (500+x)*3 1200 + 5x = 1500 + 3x Subtract 1200 from both sides. 5x = 1500 - 1200 + 3x 5x = 300 + 3x Subtract 3x from both sides. 5x - 3x = 300 2x = 300 Divide by 2 x = 300 / 2 x = 150
Check (240 + 150 ) / (500 + 150) = ? 3/5 390 / 650 = ? 3/5 39/65 = ? 3/5 Divide the top and bottom on the left by 13 3/5 = 3/5 and it checks.
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