# Statistics Examples

, , , , , ,

There are observations, so the median is the middle number of the arranged set of data. Splitting the observations either side of the median gives two groups of observations. The median of the lower half of data is the lower or first quartile. The median of the upper half of data is the upper or third quartile.

The median of the lower half of data is the lower or first quartile

The median of the upper half of data is the upper or third quartile

Arrange the terms in ascending order.

Arrange the terms in ascending order.

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

The lower half of data is the set below the median.

Arrange the terms in ascending order.

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

The upper half of data is the set above the median.

Arrange the terms in ascending order.

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

The midhinge is the average of the first and third quartiles.

Substitute the values for the first quartile and the third quartile into the formula.

Reduce the expression by cancelling the common factors.

Factor out of .

Factor out of .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Divide by .

Add and .