The National Center for Health Statistics publishes information about birth rates (per 1000 population) in the document National Vital Statistics Report. The following table provides a frequency distribution for birth rates during one year for the 50 states and the District of Columbia.

a. Obtain a frequency histogram of these birth-rate data.

b. Based on your histogram, do you think that birth rates for the $50$states and the District of Columbia are approximately normally distributed? Explain your answer.

Given in the question that, The National Center for Health Statistics publishes information about birth rates (per 1000 population) in the document National Vital Statistics Report. The following table provides a frequency distribution for birth rates during one year for the 50 states and the District of Columbia.

We need to obtain a frequency histogram of these birth-rate data.

The following table shows the frequency and relative frequency distributions for age:

The age of a woman who became a mother within a year has the following relative frequency histogram:

The age of a woman who became a mother within a year has the following relative frequency histogram:

Given in the question that, The National Center for Health Statistics publishes information about birth rates (per 1000 population) in the document National Vital Statistics Report. The following table provides a frequency distribution for birth rates during one year for the 50 states and the District of Columbia.

Based on the histogram we need to find that whether the birth rates for the $50$states and the District of Columbia are approximately normally distributed.

The following table shows the frequency and relative frequency distributions for age:

The age of a woman who became a mother within a year has the following relative frequency histogram:

The following table shows an age distribution that resembles a normal curve, showing that the variable 'age' is almost normally distributed in this group.