The mode is simply the number that appears most frequently in a set. Because \(\displaystyle 3\) is the only number that appears more than once, it is the mode.

The mode of a data set is the value that occurs the most frequently. If the data values are arranged in order, the set looks like this:

\(\displaystyle \left \{ {\color{Red} \textbf{1,1,1},}2, 2, 3, 5, 6, 9 \right \}\)

1 occurs three times, more than any other element. This makes 1 the mode.

To find the mode, we must first set our data in order from least to greatest. This will help us see more clearly the answer and how many of each number we have.

\(\displaystyle 4\), \(\displaystyle 5\), \(\displaystyle 5\), \(\displaystyle 7\), \(\displaystyle 7\), \(\displaystyle 7\)

We can see that \(\displaystyle 7\) has the most multiples of itself, since \(\displaystyle 5\) only has \(\displaystyle 2\) of itself and \(\displaystyle 4\) only has \(\displaystyle 1\). This makes \(\displaystyle 7\) our mode.

Our answer is \(\displaystyle 7\).

The mode is the number that repeats itself the most in a set.

\(\displaystyle 4\) is the only number with two of each other, making it our mode.

Our answer is \(\displaystyle 4\).

To find the mode, we must first put our set in order from least to greatest. This will help us see where the most of one number is.

\(\displaystyle 1\), \(\displaystyle 1\), \(\displaystyle 3\), \(\displaystyle 8\), \(\displaystyle 9\), \(\displaystyle 14\)

With our set in order, we can see that \(\displaystyle 1\) has the most of itself in the set, making it our mode.

Our answer is \(\displaystyle 1\).

Since we have a set of data that has multiples of each number, our mode will be the number that has the most of itself.

\(\displaystyle 2\) has \(\displaystyle 2\) of itself, \(\displaystyle 3\) has \(\displaystyle 3\) of itself and \(\displaystyle 4\) has \(\displaystyle 4\) of itself. Since \(\displaystyle 4\) has the most of itself, it is our mode.

Our answer is \(\displaystyle 4\).

To find the cost of the cheeseburger after the discount is applied we need to first find out how much 20% of 3.50 is.

\(\displaystyle 3.50\cdot 0.20=0.70\)

Thus the discount is 70 cents, or \(\displaystyle \$ 0.70\).

Now to find the new price we will need to subtract the discount from the original amount.

\(\displaystyle 3.50-0.70=2.80\)

Therefore the price of the cheeseburger on Wednesday is \(\displaystyle \$ 2.80\).

To find what percentage of her salary her bonus was we need to set up a proportion.

 \(\displaystyle \frac{7,000}{70,000}=\frac{x}{100}\).

Now we cross multiply and divide to get our percentage.

\(\displaystyle \frac{7,000\cdot 100}{70,000}=10\%\).

To find out how many slices of roast beef Jeff needs to buy in a week we first need to calculate how many slices of roast beef Sandy eats in a week.

We know that she eats 3 slices per day. Using this we can create a unit multiplier to find out how many slices she eats in a week. 

Since there are 7 days in a week the convertion becomes,

\(\displaystyle \frac{3slices}{1day}\cdot \frac{7days}{1week}=\frac{3\cdot 7slices}{1 week}=\frac{21 slices}{1 week}\).

To find out how many times more the non-resident tuition is compared to the in state resident tuition we need to create a proportion.

First we will round out numbers \(\displaystyle \$8,374\) is about \(\displaystyle \$8,000\) and \(\displaystyle \$33,624\) is about \(\displaystyle \$32,000\).

Now we set up our fraction:

\(\displaystyle \frac{32000}{8000}=\frac{32}{8}=4\).