Below are box plots comparing ages at first marriage for a sample of U.S. citizens.

Question

a. What is the median age of first marriage for​ men?
b. What is the median age of first marriage for​ women?
c. Which group has the greater​ range?
d. Compare the first marriage age for men and women.
Age at First Marriage
19
21
23
25
27
Age
WomenMen

Two boxplots showing the age at first marriage for men and women are to the right of a vertical number line that is labeled Age from 19 to 27 in increments of 2. In the left box plot, labeled Women, a box extends from 19.4 to 22 with a horizontal line segment through the box at 20. A vertical line segment extends from the bottom of the box to a horizontal line segment at 19. A vertical line segment extends from the top of the box to a horizontal line segment at 24. In the right box plot, labeled Men, a box extends from 22 to 24.5 with a horizontal line segment through the box at 22.8. A vertical line segment extends from the bottom of the box to a horizontal line segment at 21.3. A vertical line segment extends from the top of the box to a horizontal line segment at 26.
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Question content area right
Part 1
a. The median age for men is
  
23.
​(Round to the nearest integer as​ needed.)
Part 2
b. The median age for women is
  
20.
​(Round to the nearest integer as​ needed.)
Part 3
c. Which group has the greater​ range?
A.
The groups have about the same range.
B.
The group of women has a significantly greater range.
C.
The group of men has a significantly greater range

Answer 1

To address your questions regarding the box plots comparing ages at first marriage for men and women, let's analyze the information given:

Part 1

a. The median age for men:
Based on the description of the box plot for men, the horizontal line segment within the box indicates the median. According to the information provided, the median age for men is 23.

Part 2

b. The median age for women:
Similarly, examining the box plot for women, the horizontal line segment within the box indicates the median. Based on the information provided, the median age for women is 20.

Part 3

c. Which group has the greater range?
To determine the range for each group:

• Range for Men: The minimum age is 21.3 and the maximum age is 26. \[ \text{Range}_{\text{Men}} = 26 - 21.3 = 4.7 \]

• Range for Women: The minimum age is 19 and the maximum age is 24. \[ \text{Range}_{\text{Women}} = 24 - 19 = 5 \]

Comparing the two ranges:

• Men's range: 4.7
• Women's range: 5

Conclusion: The group of women has a significantly greater range. Therefore, the answer is: B. The group of women has a significantly greater range.

Summary of Answers:

a. 23
b. 20
c. B. The group of women has a significantly greater range.