Question

Who is taller, males or females?

A sample of 14-year-olds from the United Kingdom is randomly selected. Here are the heights of the students (in centimeters). A) Make a back-to-back stem plot for these data. B) Who tends to be taller in the United Kingdom: 14-year-old females or 14-year-old males? Justify your answer. C) Are the shapes of the male and female distributions of height similar or different? Justify your answer.

A) What is a stem plot? B) What is a box plot? C) What is a histogram? D) What is a scatter plot?

A) Females tend to be taller. B) Males tend to be taller. C) They have similar average heights. D) Heights are not relevant to gender differences.

A) Yes, they are similar. B) No, they are different. C) Can't be determined. D) They are exactly the same.

A) Females have a wider range of heights. B) Males have a wider range of heights. C) Both have an equal range of heights. D) Height range doesn't vary between genders.

Answer 1

A stem plot is a way of showing data in a visual format. Males tend to be taller on average. The shapes of the male and female distributions of height cannot be determined without more information.

Step-by-step explanation:

A) A stem plot (also known as a stem-and-leaf plot) is a way of showing data in a visual format. It represents the individual data points by splitting them into a stem (the leftmost digit or digits) and a leaf (the rightmost digit).

The stem represents the tens or hundreds place, and the leaf represents the ones place. The stem plot will show the frequency of each data point.

B) To determine who tends to be taller in the United Kingdom, we would need more information about the heights of 14-year-old males and females.

However, based on general observations and statistical data from other populations, it is often observed that males tend to be taller than females on average.

C) To determine if the shapes of the male and female distributions of height are similar or different, we would need to compare the frequency distributions or use statistical measures such as skewness and kurtosis.

Without further information, it is difficult to make a definitive judgment.