The heights of 200 adults were recorded and divided into two categories. which two way frequency table correctly shows the marginal frequencies?

The two way frequency table showing the marginal frequency for the given data is Option B:

Marginal (on the margin) frequencies are sum of all joint frequencies for a given row or for a given column. They care for a specific category and sum all of their frequencies for the second dimension (that means, they do not differentiate between values of second dimension  and just take the total frequency of the single considered category.

For the given condition, it is known that  there are 200 people. In the given table, let the count of females under 6 feet be

Then we have:

Thus, the complete table will be

Now, calculating marginal frequencies:

Two dimensions are there. One dimension differentiates between genders and one dimension differentiates between height under 6', or 6' or over

For first dimension(gender):

Joining all frequency over height dimension, the total of frequencies is

12 + 86 = 98

Joining all frequency over height dimension, the total of frequencies is

3 + 99 = 102

For second dimension(height):

Joining all frequency over Gender dimension, the total of frequencies is

12 + 3 = 15

Joining all frequency over Gender dimension, the total of frequencies is

86 + 99 = 185

Thus, the marginal frequencies will be given as said above. They usually lie on the margin of the table, named as Total.

The two way table will be

Thus,

The two way frequency table which correctly shows the marginal frequency for the given data is given by

Option B:

Learn more about marginal frequencies here:

link

b.-4 units

all you   do is count how many times you move

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12