assume you have a data set from a normally distributed random variable. answer the following:
will the random variable be discrete, continuous, or neither? How do you know?
I believe its continuous but cant explain why
will the data be qualitative or quantitative? How do you know. Not sure?
To determine whether a random variable is discrete, continuous, or neither, and whether the data is qualitative or quantitative, we need some clarification about the characteristics of the data set. However, assuming you have a normally distributed random variable, we can provide some insights:
1. Discrete or Continuous:
A random variable is considered discrete if its possible values are countable and have gaps between them (e.g., whole numbers or categories). On the other hand, a random variable is considered continuous if its possible values form an interval and can take any value within that interval.
Since you mentioned that the random variable follows a normal distribution, it is indeed continuous. The normal distribution is a continuous probability distribution that can take values within a range of negative infinity to positive infinity without any gaps.
2. Qualitative or Quantitative:
Qualitative data, also known as categorical data, refers to non-numerical observations or attributes that can be sorted into categories or groups (e.g., colors, genders, yes/no responses). Quantitative data, on the other hand, refers to numerical values that can be measured or counted (e.g., height, weight, number of cars).
For a normally distributed random variable, the data is quantitative. The random variable represents measurements or observations that can take on numerical values.
In summary, if you have a data set from a normally distributed random variable, the random variable would be continuous, and the data would be quantitative.