Chapter 12.3, Problem 5P

a.

To determine

To find: Whether mean for class C is greater than or less than the mean for class A.

Answer to Problem 5P

The mean of class C is less than the mean of class A.

Explanation of Solution

Given information:

Result data set from two different classes is given as below.

  

Calculation:

Given data sets are -

  

Plot for class C is left shifted while for class A it is symmetrical. Therefore, the mean of class C is less than the mean of class A.

b.

To determine

To find: Whether median for class C is greater than or less than the median for class A.

Answer to Problem 5P

The median of class C is less than the median of class A.

Explanation of Solution

Given information:

Same as part $a$ of this exercise.

Calculation:

Given data sets are -

  

Class A median $=\frac{3+4}{2}=3.5$

Class C median $=\frac{3+3}{2}=3$

Therefore, the median for class C is less than the median for class A.

c.

To determine

To find: How to infer which data set has greater mean by comparing the graph.

Explanation of Solution

Given information:

Same as part $a$ of this exercise.

Calculation:

Given data sets are -

  

  $\begin{array}{l}\text{The mean value of - }\\ \text{Right shifted graph }>\text{symmetrical graph }>\text{Left shifted graph}\text{.}\end{array}$