Mean, Median, Mode, and Range: Practice

Add the four values, then divide by how many there are.

$\text{mean} = \frac{2 + 4 + 6 + 8}{4} = \frac{20}{4} = 5$

Add the three values and divide by $3$.

$\text{mean} = \frac{10 + 20 + 30}{3} = \frac{60}{3} = 20$

Sort the values from least to greatest: $3, 5, 7$. With three values the middle one is the median.

$\text{median} = 5$

The mode is the value that appears most often. Count each one: $2$ appears three times and every other value once.

$\text{mode} = 2$

Subtract the smallest value from the largest. The largest is $18$ and the smallest is $10$.

$\text{range} = 18 - 10 = 8$

Add the three values and divide by $3$.

$\text{mean} = \frac{6 + 8 + 10}{3} = \frac{24}{3} = 8$

Only $2$ repeats; it appears twice while every other value appears once.

$\text{mode} = 2$

The range is the largest value minus the smallest.

$\text{range} = 20 - 5 = 15$

The values are already sorted. With an even count, average the two middle values, $20$ and $30$.

$\text{median} = \frac{20 + 30}{2} = 25$

The largest and smallest values are both $7$, so the data has no spread.

$\text{range} = 7 - 7 = 0$

Add the five values and divide by $5$.

$\text{mean} = \frac{1 + 2 + 3 + 4 + 5}{5} = \frac{15}{5} = 3$

Count each value: $9$ appears three times and $4$ appears twice, so the most frequent value is the mode.

$\text{mode} = 9$