A golfer who played 91 rounds of golf last year would like to calculate her median score. When all 91 scores are ordered from smallest to largest, the score in the th/rd position will be the median.

The median score will be given by the 46th position.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 91

Formula:

When all the scores are sorted from the largest to the smallest, the, the median value is given by:

Thus, the median score will be given by the 46th position.

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