Find the mean, median, and mode of the data set 12,23,17,20,14,14,18,16,17,18,18

The mean is 17, the median is 17, and the mode is 18.

Here's an explanation of how to find each.

Mean: When finding the mean, you must add together all the values, then divide by the total number of values stated. So, adding all the numbers together will give you 187. The divide by 11 (since there are 11 numbers) to get a mean of 17.

Median: When finding the median, simply put the numbers in numerical order, and find the the number in the direct middle. The numbers in numerical order are 12, 14, 14, 16, 17, 17, 18, 18, 18, 20, 23, making the median 17.

Mode: The mode is the number that shows up most often (most frequently). Since 18 shows up most (3 times) withing the data, it is the mode.

I hope this helps!

depends on how many days you are talking about

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1