Aresearcher records the time (in seconds) that participants arrive late for a scheduled research study. assuming these data are normally distributed, which measure of central tendency is most appropriate to describe these data? mean median mode range

mean

Step-by-step explanation:

Normal distribution curves Is a distribution curve having different mean values with a standard deviations  

the correct option: mean

A normal distribution curve is standardized as follows:

(a) The mean value of the unstandardized curve is made the origin, thus making the mean value, x, zero.

(b) The horizontal axis is scaled in standard deviations. This is done by letting z= x−x/ σ , where z is called the normal standard variate, x is the value of the variable, x is the mean value of the distribution and σ is the standard deviation of the distribution.

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