Chapter 5, Problem 29E

a)

To determine

To find which group had highest score.

Answer to Problem 29E

The highest score is from Boys group.

Explanation of Solution

Given:

  

Calculation:

The highest score is 6 which belong to group of Boys. Hence highest score is from Boys group.

b)

To determine

To find which group had greater range

Answer to Problem 29E

The greater range is from Boys group.

Explanation of Solution

Given:

  

Calculation:

The greater difference between maximum and minimum belong to group of Boys. Hence greater range is from Boys group.

c)

To determine

To find which group had greater interquartile range.

Answer to Problem 29E

The greater interquartilerange is from Girls group.

Explanation of Solution

Given:

  

Calculation:

The difference between 4^th and 2^nd value is greatest for girls. Hence,greater interquartile range is from Girls group.

d)

To determine

To find which group appear to be more skewed.

Answer to Problem 29E

Boys.

Explanation of Solution

Given:

  

Calculation:

The middle value lies closer to the first quartile than the third quartile for group of Boys. While the middle value of the girls lies in the middle between the first and third quartiles. That means, group of Boys is more skewed.

e)

To determine

To find which group did better in the score.

Answer to Problem 29E

Girls.

Explanation of Solution

Given:

  

Calculation:

The range of the group of Girls is less. Hence, Girls group did better in the score.

f)

To determine

To find the overall mean of the class.

Answer to Problem 29E

The overall mean is 4.376.

Explanation of Solution

Given:

  

Calculation:

The overall mean is,

  $\overline{x}=\frac{14\times 4.2+11\times 4.6}{25}=4.376$