So firstly, let's rearrange the data so that it's in ascending order:
{52,55,61,61,76,91,98,105,120}
Now let's first start with the mean. The mean formula is [tex]\frac{\textsf{sum of all the numbers in the data set}}{\textsf{how many numbers there are in the data set}}[/tex] . Using our data, we can solve for the mean as such:
[tex]\frac{52+55+61+61+76+91+98+105+120}{9}=\frac{719}{9}\approx 80[/tex]
The mean is (rounded to the whole number) 80.
Next, let's find the median. The median is the number, when arranged in ascending order, that is in the middle of the set. If there are two numbers that are in the middle, you would just find the average of the two. In this case:
[tex]\{52,55,61,61,\overbrace{\boxed{76}}^{median},91,98,105,120\}[/tex]
The median is 76.
Lastly, let's find the mode. The mode is just the number that appears the most in the data set. If all numbers appear only once in the data set, then there is no mode. In this case, since 61 appears more than once, 61 is the mode.
