The equation for the average would be 

.

To work backwards you must first multiple both sides by .  

This gives us .  

To solve for , you must subtract all the other values from .  

This gives us an answer of .

The numbered cards in a deck range from  to .  

Since  is not in the above set, it is the missing NUMBER card from the deck.

King and Ace are incorrect choices as they are called face cards in a deck of cards.

Add 5 to the first element to get the second element. The increment increases by two with each successive entry. The pattern can be seen below:

 - this is the correct response

This is confirmed by noting:

There are three things going on with these patterns.

First, the number of dots in the pattern is increasing by one, so there must be four dots in the correct choice. However, this does not eliminate any of the choices.

Second, the sector that included the dots alternates between lower right and upper left, so the correct choice must have its dots in the upper left sector. This eliminates figures (c) and (d) and leaves (a) and (b) as possible choices.

Third, the shaded sector is rotating clockwise. The shaded sector in the correct choice must be the one at the lower left, thereby eliminating (b) and leaving (a) as the correct choice.

Taking only shapes into account, the sequence is:

Triangle, circle, square,

Triangle, circle, square,

Triangle, ?

To continue the cycle, the next shape must be a circle.

Now, taking only coloration into account, the sequence is:

Left half shaded, unshaded,

Top half shaded, unshaded,

Left half shaded, unshaded,

Top half shaded, ?

To continue the cycle, the next shape must be unshaded.

Therefore, the correct choice is the unshaded circle, Figure (c).

Taking only shapes into account, the sequence is:

Triangle(s), square(s). circle(s),

Triangle(s), square(s). circle(s),

Triangle(s)...

To continue the pattern, the next figure must comprise one or two squares.

Taking only number and color of shapes into account, the sequence is

One white, one black over one white, one black, one white over one black,

One white, One black over one white, one black,...

To continue the pattern, the next figure must comprise one white shape over one black. 

Therefore, the correct choice is one white square over one black square, which is Figure (b).

The way to get from one entry of the sequence to the next alternates between multiplying by two and adding one, as follows:

Continuing the pattern:

, the correct choice.

In a stem-and-leaf plot, each number on the right side of the vertical lines is a piece of data.  For instance, the "4 | 7" means one student missed 47 days(!) of school.  Each number on the left of the line represents the ten's digit, and each number on the right of the line represents the one's digit.

We can find the total number of classmates by counting the numbers on the right side of the vertical lines, which in this case is 13.

The median of a group of data represents the physical middle of the data. 

If there is an even number of pieces of data, you take the middle two pieces of data, add them up, and divide by two for the median.

If there is an odd number of pieces of data (such as here), one number represents the median.  Since we have 13 pieces of data, the 7th value is the median, because we would have 6 pieces smaller or equal to it, and 6 pieces greater than or equal to it.

The seventh piece of data here is the 8, which is "0 | 8".  Since the ten's digit is 0, that means that the median number of days missed is 8.

Place the numbers in order from least to greatest:

36, 75, 81, 89, 89, 94, 111

Identify the middle number in the set. The answer is

First, order the numbers from least to greatest:

Then, identify the middle number:

Answer: The median is 3112.