Which of the following can be reasonably modeled by a normal distribution?
A)The favorite colors of students in a kindergarten class
B)The heights of tomato plants that were all planted on the same day
C)The percent of employees from a company who attended a company retreat
D)The average number of siblings of all students at a particular high school
E)The parental guidance ratings (G, PG, PG-13, R) of movies filmed in 2019

A normal distribution is defined as a bell-shaped distribution curve were most values of the data seem to cluster around the mean.Data for intelligence, height , blood pressure, students reports, shoe sizes, birth weight, income of citizens, technical stock market, rolling a dice, tossing a coin e.t.c are examples of situations that will give data which can be modeled by a normal distribution.In this case, the central limit theory applies, where various independent factors will influence a specific trait.

MrRoyal MrRoyal · Answer 2 · 2021-09-28T15:30:19+02:00

A normal distribution is always symmetric about the mean.

The data that can be modeled by a normal distribution is: B)The heights of tomato plants that were all planted on the same day

From the list of given options, we have the following observations:

Options (a), (c), (d) and (e) are all discrete data i.e. they all represent whole numbers;
Option (b) is a continuous data

Options (a), (c), (d) and (e) are discrete data because they cannot represent numbers with a decimal value.

In other words:

It is impossible to have the number of favorite colors, parental guidance, number of siblings and employees in a company as decimals.

However, the height of tomato plants (i.e. option b) can be represented as a decimal.

This means that option (b) is continuous

Only continuous data can be modeled by a normal distribution.

Hence, (b) is true

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