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The median age of the U.S. population in 1980 was 30.0 years. In 1991, the median age was 33.1 years.

a. What does it mean for the median age to rise?

b. Give two reasons why the median age could rise.

c. For the median age to rise, is the actual number of children less in 1991 than it was in 1980? Why or why not?

Short Answer

Expert verified

a) The rise in the median age indicates that the people are living longer life.

b)

The following are the two factors that have contributed to the rise in the median age:

1. As the number of births decreases over time, the median age may rise.

2. If there was an increase in lifetime and consequently a drop in the number of deaths, this trend may be noticed.

c) This isn't always the case, but it's a possibility. In the year 1980, 50% of the population was under the age of 30. In 1991, 50 percent of the population was under the age of 33.1. The population was 227.23 million on July 1, 1980. The population was 252.98 million on July 1, 1991. There could have been fewer children in 1991 because half of the population was larger than in 1980 and the median was higher. However, the same or more youngsters could have been present.

Step by step solution

01

Part (a) - Step 1: To find

What does it mean for the median age to rise.

02

Part (a) - Step 2: Explanation

The median is a number that splits the data into two equal halves and is one of the measures of central tendency in statistics. The data in the 50 percent range is below the median value while the data in the 50 percent range is above the median value. The population has changed to the right of the median value as the median value increases, the population has shifted to the left of the median value as the median value decreases, and the population has remained steady as the median value remains the same. In the provided example, an increase in the median value implies that the population is ageing.

03

Part (b) - Step 3: To find

The two reasons why the median age could rise.

04

Part(b) - Step 4: Explanation

The median is a number that splits the data into two equal halves and is one of the measures of central tendency in statistics. The data in the 50 percent range is below the median value while the data in the 50 percent range is above the median value. The population has changed to the right of the median value as the median value increases, the population has migrated to the left of the median value as the median value decreases, and the population has remained steady as the median value remains the same.

The two reasons for the rise in the median age are:

1. As the number of births decreases over time, the median age may rise.

2. If there was an increase in lifetime and consequently a drop in the number of deaths, this trend may be noticed.

05

Part (c) - Step 5: To find

For the median age rise, is the actual number of children less in 1991 than it was in 1980.

06

Part (c) - Step 6: Explanation

The median is a number that splits the data into two equal halves and is one of the measures of central tendency used in statistics. The data in the 50 percent range is below the median value, while the data in the 50 percent range is above it. The population has shifted to the right of the median value, the population has shifted to the left of the median value, and the population has stayed steady.

It is not essential for the median age to grow if the actual number of children is lower in 1991 than it was in 1980. But it's possible that's the case. In the year 1980, 50% of the population was under the age of 30. In 1991,50 percent of the population was under the age of 33.1. The population was 227.23 million on July 1, 1980. The population was 252.98 million on July 1, 1991. There could have been fewer children in 1991 because half of the population was larger than in 1980 and the median was higher. However, the same or more youngsters could have been present.

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