SAT Math - Median | Practice Hub

Determine the median of the following numbers:

$\frac{7}{2}$

$\frac{9}{7}$

$\frac{9}{2}$

$\frac{3}{2}$

Explanation

Order the numbers from least to greatest.

$[5,-6,17,2] \to [-6,2,5,17]$

The median of a even set of numbers is the average of the central two numbers.

$\frac{2+5}{2} = \frac{7}{2}$

The answer is: $\frac{7}{2}$

Let be a positive integer.

Find the median of the set.

Explanation

The median is the middle value of the set in increasing order.

In this set of 8 (or any even number) entries, the median is the mean of the two middle entries of the set in increasing order

$\frac{7b+9b}{2}$

What is the median of the following numbers?

12,15,93,32,108,22,16,21

Explanation

To find the median, first you arrange the numbers in order from least to greatest.

Then you count how many numbers you have and divide that number by two. In this case 12,15,16,21,22,32,93,108= 8 numbers.

So $\frac{8}{2}=4$

Then starting from the least side of the numbers count 4 numbers till you reach the median number of

Then starting from the greatest side count 4 numbers until you reach the other median number of

Finally find the mean of the two numbers by adding them together and dividing them by two $\frac{(21+22)}{2}=\frac{43}{2}$

to find the median number of .

Consider the following test scores from a typical high school class with students:

The mean of this data set is_________, and the mode of this data set is _______.

$91.4,\ 89$

$91.4,\ 100$

$89,\ 91$

$91,\ 91.4$

$81,\ 100$

Explanation

The mean is just the average of all the test scores, which is found by adding up the scores and dividing by the number of scores (). This gives as the mean. The mode is the score which occurs most frequently. In this case, the mode is . The median, the middle score of the sequence, is .

Find the median of the following numbers:

11, 13, 16, 13, 14, 19, 13, 13

None of the other answers are correct.

Explanation

Reorder the numbers in ascending order (from lowest to highest):

11, 13, 13, 13, 13, 14, 16, 19

Find the middle number. In this case, the middle number is the average of the 4th and 5th numbers. Because both the 4th and 5th number are 13, the answer is simply 13.

Identify the median: