,

The five-number summary is a descriptive statistic that provides information about a set of observations. It consists of the following statistics:

1. Minimum (Min) – the smallest observation

2. Maximum (Max) – the largest observation

3. Median – the middle term

4. First Quartile – the middle term of values below the median

5. Third Quartile – the middle term of values above the median

Arrange the terms in ascending order.

The minimum value is the smallest value in the arranged data set.

The maximum value is the largest value in the arranged data set.

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.

Remove parentheses.

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Simplify the numerator.

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

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

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

Multiply and .

Multiply by .

Multiply and .

Multiply by .

Combine the numerators over the common denominator.

Simplify the numerator.

Multiply by .

Multiply by .

Add and .

Multiply the numerator by the reciprocal of the denominator.

Multiply .

Multiply and .

Multiply by .

Convert the median to decimal.

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

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

The five most important sample values are sample minimum, sample maximum, median, lower quartile, and upper quartile.

Find the Five Number Summary 7/11 , 42/60