Answer
(See the file attached below for the histogram)
Description of the histogram:
- The shape of the histogram is slightly positively skewed, or skewed to the right (indicated that the median is greater than the mode).
- The distribution has a single peak, which represents the largest percentage of mothers who had their firstborn are-the mothers whose age are between 20 and 25 years old, not including 25-year-old mothers. (20 $\leq$ x $\lt$ 25)
- The median lies in the age range 25 $\leq$ age $\lt$ 30.
- The age of having firstborn lies between 10 and 50 years old, which is considerable variability, with more than 50% of mothers having firstborn between 20 and 30 years old.
- There are no outliers of the slightly postively skewed histogram.
Work Step by Step
We make a table with the same bins, but the counts will be replaced with percents based on the bin frequency and total babies from the answer in 2.32b, which is 1,570,809 babies.
The table should look according to the file sent below
Note that when we make the histogram, the bin interval will always be in the form:
low $\leq$ percent/frequency $\lt$ high. The final histogram is shown in the answer section.
For the description, we always have to talk about the spread, shape, and the measures of central tendency of the histogram (mean, median, mode), where the mean and median can be estimated, while the mode refers to the modal class, which is the class interval that has the most frequency/highest percentage.
