Question

Which of these variables is least likely to have a normal distribution?

a.annual income for all 150 employees at a local high school
b.lengths of 50 newly hatched pythons
c.heights of 100 white pine trees in a forest
d.amount of soda in 60 cups filled by an automated machine at a fast-food restaurant
e.weights of 200 of the same candy bar in a shipment to a local supermarket?

Answer 1

It would be a, because some of the students could have really high income and some low, it’s very unpredictable, but all others will probably all be very close

Hope this helps!

Answer 2

Annual income for all 150 employees at a local high school

Explanation:

The normal distribution is also called the Gaussian distribution. It is the most common type of distribution for statistical analysis. The normal distribution is based on a probability distribution. The data near the mean are more frequent than the data away from the mean. It is based on two parameters: the mean and the standard deviation.

As per options, option A which states ‘annual income for all 150 employees at a local high school’ the data is within the standard deviation.