MAT120 2.2

For a number of people living in a household​, state whether you would expect a histogram of the data to be​ bell-shaped, uniform, skewed​ left, or skewed right.

Skewed right.

Continuous Variable

A quantitative variable that has an infinite number of possible values that are not countable.

Discrete Variable

A quantitative variable that has either a finite number of possible values or a countable number of possible values.

What is Uniform Distribution?

A type of probability distribution in which all outcomes are equally likely; each variable has the same probability that it will be the outcome.

To caculate x percentage for y or less,

Add the two highest frequencies, divide the answer over total frequency and convert the decimal answer into a percent.

To caculate x percentage for y or more,

Add the two highest frequencies, divide the answer over total frequency and convert the decimal answer into a percent.

Is this bell-shaped, skewed left, skewed right, or uniform?

Bell-shaped.

Why​ shouldn't classes overlap when summarizing continuous data in a frequency or relative frequency​ distribution?

Classes​ shouldn't overlap so there is no confusion as to which class an observation belongs.

True or False: The shape of the distribution shown is best classified as skewed left.

False.

True or False: The shape of the distribution shown is best classified as skewed right.

False.

When there are two similar frequency distribution and relative distribution histograms, one being eight classes and the other being four classes, does one frequency distribution provide a better summary of the data than the​ other? Explain.

The shape is not as clear in the distribution with fewer​ classes, so more classes should be used.

There is not one particular frequency distribution that is​ correct, but there are frequency distributions that are less desirable than others.

The statement is true. Any correctly constructed frequency distribution is valid.​ However, some choices for the categories or classes give more information about the shape of the distribution.