54 , 13-118

There are 2 observations, so the median is the mean of the two middle numbers 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.

13-118,54

The median is the middle term in the arranged data set. In the case of an even number of terms, the median is the average of the two middle terms.

13-118+542

Remove parentheses.

13-118+542

Simplify the numerator.

To write 13 as a fraction with a common denominator, multiply by 66.

13⋅66-118+542

Write each expression with a common denominator of 18, by multiplying each by an appropriate factor of 1.

Multiply 13 and 66.

63⋅6-118+542

Multiply 3 by 6.

618-118+542

618-118+542

Combine the numerators over the common denominator.

6-118+542

Subtract 1 from 6.

518+542

To write 518 as a fraction with a common denominator, multiply by 22.

518⋅22+542

To write 54 as a fraction with a common denominator, multiply by 99.

518⋅22+54⋅992

Write each expression with a common denominator of 36, by multiplying each by an appropriate factor of 1.

Multiply 518 and 22.

5⋅218⋅2+54⋅992

Multiply 18 by 2.

5⋅236+54⋅992

Multiply 54 and 99.

5⋅236+5⋅94⋅92

Multiply 4 by 9.

5⋅236+5⋅9362

5⋅236+5⋅9362

Combine the numerators over the common denominator.

5⋅2+5⋅9362

Simplify the numerator.

Multiply 5 by 2.

10+5⋅9362

Multiply 5 by 9.

10+45362

Add 10 and 45.

55362

55362

55362

Multiply the numerator by the reciprocal of the denominator.

5536⋅12

Multiply 5536⋅12.

Multiply 5536 and 12.

5536⋅2

Multiply 36 by 2.

5572

5572

Convert the median 5572 to decimal.

0.7638‾

0.7638‾

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

13-118

Find the Lower or First Quartile 5/4 , 1/3-1/18