Calculus Examples

$2$ , $6$ , $7$ , $8$ , $18$

Step 1

The mean of a set of numbers is the sum divided by the number of terms.

$μ = \frac{2 + 6 + 7 + 8 + 18}{5}$

Step 2

Simplify the numerator.

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Step 2.1

Add $2$ and $6$ .

$μ = \frac{8 + 7 + 8 + 18}{5}$

Step 2.2

Add $8$ and $7$ .

$μ = \frac{15 + 8 + 18}{5}$

Step 2.3

Add $15$ and $8$ .

$μ = \frac{23 + 18}{5}$

Step 2.4

Add $23$ and $18$ .

$μ = \frac{41}{5}$

Step 3

Divide.

$μ = 8.2$

Step 4

Arrange the terms in ascending order.

$M e d i a n = 2, 6, 7, 8, 18$

Step 5

The median is the middle term in the arranged data set.

$M e d i a n = 7$

Step 6

Since the mean is greater than the median, the data set is positively skewed.

Positively Skewed