Question

Determine the median and the mode of the set of data below. In your final answer, include all of your calculations. 95, 96, 100, 86, 75, 74, 72, 89, 97, 95, 93, 75, 75, 65
PLZ HELP!

Answer 1

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, 96, 100, 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

Answer 2

Answer:

Mode: 75. Median: 87.5

Step-by-step explanation:

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.