Problem 4CQQ

Earthquake Depths Are the earthquake depths described in Exercise quantitative data or categorical data?

Exercise

Earthquake Depths Data Set 16 includes depths (km) of the sources of earthquakes. Are these values discrete or continuous?

Problem 4CQQ

Answer:

Step1 of 4:

We have Data Set 16 includes depths (km) of the sources of earthquakes.

Step2 of 4:

We need to check whether the given data is quantitative data or categorical data? And Are these values discrete or continuous?

Step3 of 4:

Let us understand what is quantitative data and what is qualitative

Consider,

1).Quantitative data:Quantitative data is data expressing a certain quantity, amount or range. Usually, there are measurement units associated with the data,

For example: metres, in the case of the height of a person.

2).Qualitative data:Qualitative data can be arranged into categories that are not numerical. These categories can be physical traits, gender, colors or anything that does not have a number associated to it. Qualitative data is sometimes referred to as categorical data.

For example: The most common given names in your town.

“It is quantitative data because these are values that are measurable and that can be recorded as numbers”.

Step4 of 4:

Let us know what is discrete and what is continuous

Consider,

Discrete: A discrete function is a function with distinct and separate values. This means that the values of the functions are not connected with each other.

For example, a discrete function can equal 1 or 2 but not 1.5.

Continuous: A continuous function, on the other hand, is a function that can take on any number within a certain interval.

For example, if at one point, a continuous function is 1 and 2 at another point, then this continuous function will definitely be 1.5 at yet another point.

“Continuous”, because we can measure the data in fractions and decimals.