A test was given to 60 individuals. Half answered 70% of the questions correctly, and the other half answered 90% correctly. Which of the following statements is correct? Group of answer choices Mean < Median Mean = Median Standard Deviation = 0 Mean > Median

Mean = Median.

Step-by-step explanation:

The number of students in the class is, n = 60.

It is provided that half of the students answered 70% of the questions correctly, and the other half answered 90% correctly.

Let X = number of correctly answered questions.

Compute the probability of correctly answering a question as follows:

The random variable X follows a Binomial distribution with parameters n = 60 and p = 0.80.

The mean of the Binomial distribution is:

So the mean of the random variable X is 48.

The median value of a data is the below which 50% of the distribution lies.

Let x denote the median value of the distribution of X.

As,

A normal distribution can be used to approximate the Binomial distribution.

Compute the value of x such that P (X < x) = 0.50 as follows:

The value of z for which P (Z < z) = 0.50 is 0.

The value of x is:

The median value of X is 48.

Thus, Mean = Median.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

45

step-by-step explanation: