Here is the histogram of a data distribution. all class widths are 1.
what is the median of the distribution?

D

Step-by-step explanation:

The median is the middle value in the data distribution.

From 1 → 4 there are14 values ( count the blocks )

From 5 → 10 there are 14 values

Thus the middle value of the distribution is 5, that is

median is 5 → D

D. 5

Step-by-step explanation:

From the given graph , x axis is representing the data values and y axis is representing their frequencies.

First count the number of blocks n= 29

We know that when the total number of data values is an odd number , then the median of data is given by :-

i.e.

Now, count again to check the value of the 15th box in the x axis.

You will get 5.

Hence, the median of the distribution = 5

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

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58