Chapter 7.2, Problem 20E

(a)

To determine

To explain:

The data set contains the value $11$ .

Answer to Problem 20E

Always true

Explanation of Solution

Given:

The data set

Concept used:

The median is the middle number in a sorted ascending or descending list of numbers and more descriptive of that data set than the average.

Calculation:

The first quartile denoted by $Q_1$ is the median of the lower half of the data set.

Order the data and the median of the lower half.

Always true

  $11$ is the greatest value in the set.

(b)

To determine

To explain:

The data set contains the value $6$ .

Answer to Problem 20E

Not Always true

Explanation of Solution

Given:

The data set

Concept used:

The median is the middle number in a sorted ascending or descending list of numbers and more descriptive of that data set than the average.

Calculation:

The first quartile denoted by $Q_1$ is the median of the lower half of the data set.

Order the data and the median of the lower half.

The difference of the greatest value and the least value of the data set is different

The first quartile denoted by $Q_1$ is the median of the lower half of the data set.

Order the data and the median of the lower half.

Not Always true

There may not be $6$ on the data set.

(c)

To determine

To explain:

The distribution is skewed right of the given data.

Answer to Problem 20E

Sales rep B sales are $4$ cars sold.

Explanation of Solution

Given:

The data set

Concept used:

The median is the middle number in a sorted ascending or descending list of numbers and more descriptive of that data set than the average.

Calculation:

The first quartile denoted by $Q_1$ is the median of the lower half of the data set.

Order the data and the median of the lower half.

Always true

Since the right whisker is longer than the left whisker.

(d)

To determine

To explain:

The mean of the given data is $5$ .

Explanation of Solution

Given:

The data set

Concept used:

The median is the middle number in a sorted ascending or descending list of numbers and more descriptive of that data set than the average.

Calculation:

The first quartile denoted by $Q_1$ is the median of the lower half of the data set.

Order the data and the median of the lower half.

Always true

Since the average of the data set.