First you want to put them in order from least to greatest. 65, 72, 74, 75, 86, 89, 93, 95, 96, 97, 100. Now you count the numbers on the left and right until you get to the middle, there is an uneven number so therefor you wont have to do any extra math. 65, 72, 74, 75, 86, 89, 93, 95, 96, 97, 100. there is 5 on each side 89 being the median. Now moving onto the mode. You will need all of them for this not taking out the ones of there being multiple. 95, 95, <span>96, 100, </span>86, 75, 75, 75, 74, 72, 89, 97, 93, 65 You need to find the number that there is the most of to find the mode. to do this keep score of how many of each of the numbers there is 95, 95, 96, 100, 86, 75, 75, 75, 74, 72, 89, 97, 93, 65 The most commonly occuring number is 75 in this dataset. Reviewing our answers. In the end the median is 89 and the mode is 75
First let's calculate the mode. The mode is the more repeated data. For our set of data we have that 75 is written three times, the other data are written twice or once. Then, 75 is the mode.
Now, to find the median we need to organize the data from least to greatest.
65 72 74 75 75 75 86 89 93 95 95 96 97 100
as we have an even number of items we take the two middle terms, in this case 86, 89 and find the average value.
(86+89)/2 = 175/2 = 87.5. Then, the median is 87.5.
What about if you use the distributive property? You could do 1(x+13) because the 1 would distribute to the x and the 13 making it x+13. Hope that is helpful.
If you don't want to compute Hannah's actual earning, you can just find a representative value for all the days. It can be the mean, median or mode. The easiest parameter that you can obtain without calculating is the media. Arrange the number of hours from least to greatest;
2.5 3.5 3.75 4.25 4.75
The median is 3.75. Assuming this is the number of hours for each day for 5 days, the estimated cost is:
Estimated Cost = 3.75*5*$5.85 = $109.7
Therefore, Hannah's estimate is more than the estimated cost.
